Dynamic compressive behaviour of cellular materials: A review of phenomenon, mechanism and modelling
•Dynamic plastic properties, deformation modes, constitutive relations and shock states are described.•Experimental observations in the quasi-static, transitional dynamic and shock regimes are presented.•Mechanisms associated with inertia, enclosed gas and microscopic strain-rate sensitivity of base...
Saved in:
Published in | International journal of impact engineering Vol. 112; pp. 74 - 115 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Oxford
Elsevier Ltd
01.02.2018
Elsevier BV |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | •Dynamic plastic properties, deformation modes, constitutive relations and shock states are described.•Experimental observations in the quasi-static, transitional dynamic and shock regimes are presented.•Mechanisms associated with inertia, enclosed gas and microscopic strain-rate sensitivity of base material are elucidated.•Mesoscopic modelling and its applications are discussed with regard to idealised and realistic cell structures.•Macroscopic continuum-based modelling for compression-dominated loading is summarised and commented.
Dynamic compressive behaviour of cellular materials is crucial to their applications in energy absorption, ballistic mitigation and blast/impact protection. The recent research progress in this subject has led to an improved understanding of the experimental, analytical and numerical observations. This review focuses on the aspects of phenomena, mechanisms and modelling on the concerned subject. Attention is paid to linking macroscopic dynamic compressive behaviour with the subscale influential factors. The characteristics of cellular materials at different spatial scales and their compressive behaviours at different loading rates are introduced, based on experimental observations in the quasi-static, transitional dynamic and shock regimes of compression. Then a comprehensive discussion about the roles of the micro- and meso-scale mechanisms in the dynamic compressive behaviour is presented. Finally, important modelling approaches and results are reviewed and commented. The main conclusions are: (1) the strain-rate sensitivity of cellular materials is closely associated with base material properties (both quasi-static and dynamic ones) and cell structure; (2) the compaction shock in cellular materials has mesoscopic structural causes and its formation leads to unique deformation mode, load transmission and stress–strain states; (3) shock initiation requires sufficient loading rate or intensity, and its critical condition can be described based on impact velocity; (4) cell-based modelling is useful for the identification and examination of the underpinning mechanisms, while continuum-based modelling is necessary for the analysis of structures made of cellular materials. Outstanding issues on the subject of the dynamic compressive behaviour of cellular materials are also addressed. |
---|---|
AbstractList | Dynamic compressive behaviour of cellular materials is crucial to their applications in energy absorption, ballistic mitigation and blast/impact protection. The recent research progress in this subject has led to an improved understanding of the experimental, analytical and numerical observations. This review focuses on the aspects of phenomena, mechanisms and modelling on the concerned subject. Attention is paid to linking macroscopic dynamic compressive behaviour with the subscale influential factors. The characteristics of cellular materials at different spatial scales and their compressive behaviours at different loading rates are introduced, based on experimental observations in the quasi-static, transitional dynamic and shock regimes of compression. Then a comprehensive discussion about the roles of the micro- and meso-scale mechanisms in the dynamic compressive behaviour is presented. Finally, important modelling approaches and results are reviewed and commented. The main conclusions are: (1) the strain-rate sensitivity of cellular materials is closely associated with base material properties (both quasi-static and dynamic ones) and cell structure; (2) the compaction shock in cellular materials has mesoscopic structural causes and its formation leads to unique deformation mode, load transmission and stress-strain states; (3) shock initiation requires sufficient loading rate or intensity, and its critical condition can be described based on impact velocity; (4) cell-based modelling is useful for the identification and examination of the underpinning mechanisms, while continuum-based modelling is necessary for the analysis of structures made of cellular materials. Outstanding issues on the subject of the dynamic compressive behaviour of cellular materials are also addressed. •Dynamic plastic properties, deformation modes, constitutive relations and shock states are described.•Experimental observations in the quasi-static, transitional dynamic and shock regimes are presented.•Mechanisms associated with inertia, enclosed gas and microscopic strain-rate sensitivity of base material are elucidated.•Mesoscopic modelling and its applications are discussed with regard to idealised and realistic cell structures.•Macroscopic continuum-based modelling for compression-dominated loading is summarised and commented. Dynamic compressive behaviour of cellular materials is crucial to their applications in energy absorption, ballistic mitigation and blast/impact protection. The recent research progress in this subject has led to an improved understanding of the experimental, analytical and numerical observations. This review focuses on the aspects of phenomena, mechanisms and modelling on the concerned subject. Attention is paid to linking macroscopic dynamic compressive behaviour with the subscale influential factors. The characteristics of cellular materials at different spatial scales and their compressive behaviours at different loading rates are introduced, based on experimental observations in the quasi-static, transitional dynamic and shock regimes of compression. Then a comprehensive discussion about the roles of the micro- and meso-scale mechanisms in the dynamic compressive behaviour is presented. Finally, important modelling approaches and results are reviewed and commented. The main conclusions are: (1) the strain-rate sensitivity of cellular materials is closely associated with base material properties (both quasi-static and dynamic ones) and cell structure; (2) the compaction shock in cellular materials has mesoscopic structural causes and its formation leads to unique deformation mode, load transmission and stress–strain states; (3) shock initiation requires sufficient loading rate or intensity, and its critical condition can be described based on impact velocity; (4) cell-based modelling is useful for the identification and examination of the underpinning mechanisms, while continuum-based modelling is necessary for the analysis of structures made of cellular materials. Outstanding issues on the subject of the dynamic compressive behaviour of cellular materials are also addressed. |
Author | Sun, Yongle Li, Q.M. |
Author_xml | – sequence: 1 givenname: Yongle surname: Sun fullname: Sun, Yongle organization: School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Sackville Street, Manchester M13 9PL, UK – sequence: 2 givenname: Q.M. surname: Li fullname: Li, Q.M. email: qingming.li@manchester.ac.uk organization: School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Sackville Street, Manchester M13 9PL, UK |
BookMark | eNqFkMFq3DAQhkXYQnaTvEIQ5FpvJMuW5dJDlzRJA4FeUuhNyNI4K2NJruTdkrePlk0vvexhGBj934j5VmjhgweErilZU0L57bC2g3UT-Nd1SWiTh2tC-BlaUtG0BatJu0BL0rCqaCr2-xytUhpIDpKaLJH5_uaVsxrr4KYIKdk94A62am_DLuLQYw3juBtVxE7NEK0a0xe8wRH2Fv4e3qct-OBy-c_Ygd4qb5PDyhvsgsms9a-X6FOfObj66Bfo18P9y92P4vnn49Pd5rnQTIi5qDhTNTNAql70NW8NaVtW6k713PBS8Zo2QtU6H9mZpqtLwTsqQDSk7ARwQdkFujnunWL4s4M0yyEf4fOXsiS8YbwqGckpfkzpGFKK0MspWqfim6REHozKQf4zKg9GD_NsNINf_wO1ndVsg5-jsuNp_NsRh6wg24syaQteg7ER9CxNsKdWvAN-VJmx |
CitedBy_id | crossref_primary_10_1016_j_ijimpeng_2023_104842 crossref_primary_10_1016_j_ijimpeng_2022_104324 crossref_primary_10_3390_met11010052 crossref_primary_10_1007_s40870_024_00425_x crossref_primary_10_1016_j_ijmecsci_2022_107290 crossref_primary_10_1016_j_mtcomm_2023_106839 crossref_primary_10_1016_j_compstruct_2018_07_070 crossref_primary_10_1016_j_tws_2023_111109 crossref_primary_10_1115_1_4049835 crossref_primary_10_1016_j_conbuildmat_2023_132118 crossref_primary_10_1016_j_jmps_2023_105402 crossref_primary_10_3390_buildings15020229 crossref_primary_10_17341_gazimmfd_639834 crossref_primary_10_1002_er_8606 crossref_primary_10_1016_j_conbuildmat_2022_126989 crossref_primary_10_1007_s11665_020_05369_6 crossref_primary_10_1007_s11431_020_1650_9 crossref_primary_10_1016_j_compositesb_2021_109366 crossref_primary_10_3390_ma12091445 crossref_primary_10_1080_13588265_2023_2230638 crossref_primary_10_1016_j_dt_2023_12_005 crossref_primary_10_1016_j_matlet_2023_135823 crossref_primary_10_1016_j_conbuildmat_2019_03_097 crossref_primary_10_1016_j_compscitech_2020_108339 crossref_primary_10_1016_j_compstruct_2021_115145 crossref_primary_10_1016_j_jmps_2020_104030 crossref_primary_10_1515_ijmr_2020_7785 crossref_primary_10_1115_1_4049155 crossref_primary_10_1016_j_compstruct_2020_112175 crossref_primary_10_1016_j_ijimpeng_2025_105265 crossref_primary_10_1007_s11340_019_00521_3 crossref_primary_10_1016_j_tws_2024_112156 crossref_primary_10_1111_str_12298 crossref_primary_10_1016_j_mechmat_2023_104684 crossref_primary_10_1016_j_polymertesting_2020_106836 crossref_primary_10_1051_meca_2023021 crossref_primary_10_1016_j_jallcom_2019_151860 crossref_primary_10_3390_ma16155350 crossref_primary_10_1007_s11340_021_00772_z crossref_primary_10_1016_j_matdes_2023_112325 crossref_primary_10_1016_j_ijimpeng_2018_01_011 crossref_primary_10_1016_j_ijimpeng_2020_103696 crossref_primary_10_1016_j_mtcomm_2020_100918 crossref_primary_10_1088_2631_8695_ab67ee crossref_primary_10_1016_j_tws_2018_07_056 crossref_primary_10_1016_j_jmrt_2022_12_031 crossref_primary_10_1016_j_surfcoat_2022_128746 crossref_primary_10_1016_j_ijsolstr_2022_111598 crossref_primary_10_3390_met9080901 crossref_primary_10_1016_j_jallcom_2021_163573 crossref_primary_10_1007_s00107_020_01638_2 crossref_primary_10_1016_j_compstruct_2019_04_031 crossref_primary_10_1007_s40430_023_04667_z crossref_primary_10_1177_1077546319827399 crossref_primary_10_1002_adfm_202412324 crossref_primary_10_1016_j_ijmecsci_2022_107746 crossref_primary_10_1115_1_4056582 crossref_primary_10_1088_1361_651X_aab975 crossref_primary_10_1016_j_ijmecsci_2023_108795 crossref_primary_10_3390_ma14216405 crossref_primary_10_1016_j_pmatsci_2021_100918 crossref_primary_10_1142_S1758825120500180 crossref_primary_10_1007_s11831_022_09836_2 crossref_primary_10_1007_s40430_024_05002_w crossref_primary_10_1177_09544089251317120 crossref_primary_10_1016_j_compositesb_2018_12_071 crossref_primary_10_1016_j_compstruct_2022_116505 crossref_primary_10_1016_j_tws_2024_111715 crossref_primary_10_3989_revmetalm_159 crossref_primary_10_3390_ma16196554 crossref_primary_10_1016_j_ijimpeng_2020_103565 crossref_primary_10_3390_ma16134723 crossref_primary_10_1016_j_ijimpeng_2020_103566 crossref_primary_10_1080_15376494_2021_2017526 crossref_primary_10_1515_cls_2022_0211 crossref_primary_10_1016_j_matdes_2022_110963 crossref_primary_10_1016_j_ijmecsci_2022_107492 crossref_primary_10_1177_0021955X241301905 crossref_primary_10_1016_j_compositesb_2021_109393 crossref_primary_10_3390_ma14123231 crossref_primary_10_1016_j_compstruct_2018_09_036 crossref_primary_10_1016_j_tws_2022_109991 crossref_primary_10_1007_s40870_021_00316_5 crossref_primary_10_1016_j_ijsolstr_2023_112555 crossref_primary_10_1016_j_tws_2024_112405 crossref_primary_10_3390_ma13245616 crossref_primary_10_1016_j_ijimpeng_2023_104808 crossref_primary_10_3390_ma16144995 crossref_primary_10_1016_j_jobe_2024_110185 crossref_primary_10_1515_mt_2023_0273 crossref_primary_10_1016_j_ijimpeng_2018_08_016 crossref_primary_10_1016_j_ijimpeng_2021_103956 crossref_primary_10_1016_j_ijimpeng_2021_104131 crossref_primary_10_1016_j_msea_2023_145568 crossref_primary_10_1016_j_ijmecsci_2022_107480 crossref_primary_10_1016_j_matdes_2020_109166 crossref_primary_10_1016_j_ijimpeng_2019_02_009 crossref_primary_10_1016_j_ijimpeng_2022_104193 crossref_primary_10_1016_j_compstruct_2018_05_098 crossref_primary_10_1016_j_ijimpeng_2019_02_012 crossref_primary_10_1016_j_tws_2022_110054 crossref_primary_10_1016_j_ijsolstr_2022_111871 crossref_primary_10_1016_j_engstruct_2021_112279 crossref_primary_10_1016_j_dt_2025_01_003 crossref_primary_10_3390_ma17030560 crossref_primary_10_1590_1679_78256406 crossref_primary_10_3390_ma16093530 crossref_primary_10_1016_j_addma_2023_103751 crossref_primary_10_1016_j_msea_2021_141379 crossref_primary_10_1016_j_msea_2021_142346 crossref_primary_10_1016_j_mechmat_2023_104882 crossref_primary_10_1016_j_polymertesting_2020_106514 crossref_primary_10_3390_ma12203455 crossref_primary_10_1016_j_ijimpeng_2021_104100 crossref_primary_10_1016_j_mechmat_2022_104319 crossref_primary_10_1016_j_compositesb_2021_108881 crossref_primary_10_1016_j_compositesb_2020_108247 crossref_primary_10_1016_j_compstruc_2025_107660 crossref_primary_10_1007_s10409_019_00859_w crossref_primary_10_1002_pssb_202400342 crossref_primary_10_1016_j_compstruct_2023_116858 crossref_primary_10_3390_polym16091249 crossref_primary_10_1016_j_tws_2023_111333 crossref_primary_10_3390_ma18030552 crossref_primary_10_1016_j_tws_2024_112505 crossref_primary_10_1016_j_tws_2023_111210 crossref_primary_10_1016_j_ijmecsci_2020_105603 crossref_primary_10_3390_ma17102318 crossref_primary_10_1016_j_matdes_2025_113777 crossref_primary_10_3390_app10228286 crossref_primary_10_26552_com_C_2019_3_35_39 crossref_primary_10_1016_j_ijplas_2020_102730 crossref_primary_10_3390_app10249061 crossref_primary_10_1016_j_compositesb_2019_01_044 crossref_primary_10_1002_pc_26934 crossref_primary_10_3390_ma15134490 crossref_primary_10_1016_j_engstruct_2024_118216 crossref_primary_10_1021_acsomega_2c03212 crossref_primary_10_1016_j_matdes_2019_107685 crossref_primary_10_1080_17452759_2023_2283027 crossref_primary_10_1016_j_matdes_2018_01_028 crossref_primary_10_1088_1361_665X_ad126b crossref_primary_10_1007_s00170_023_11463_5 crossref_primary_10_1016_j_compositesb_2023_110513 crossref_primary_10_1016_j_conbuildmat_2018_07_197 crossref_primary_10_1016_j_mseb_2021_115051 crossref_primary_10_1080_15376494_2024_2423278 crossref_primary_10_1007_s11665_021_05823_z crossref_primary_10_1016_j_mtcomm_2023_106003 crossref_primary_10_1016_j_tws_2023_110931 crossref_primary_10_1016_j_ijsolstr_2024_113155 crossref_primary_10_1016_j_amf_2024_200188 crossref_primary_10_1177_02624893221084895 crossref_primary_10_1177_1099636219860420 crossref_primary_10_3390_met11091337 crossref_primary_10_1016_j_istruc_2021_12_042 crossref_primary_10_1016_j_ijimpeng_2019_05_011 crossref_primary_10_1016_j_ijsolstr_2025_113322 crossref_primary_10_1016_j_jmps_2025_106105 crossref_primary_10_1016_j_tws_2023_111509 crossref_primary_10_1016_j_compstruct_2023_117845 crossref_primary_10_1016_j_compstruct_2023_116885 crossref_primary_10_1016_j_ijsolstr_2023_112597 crossref_primary_10_1016_j_ijimpeng_2018_07_016 crossref_primary_10_1016_j_compstruct_2018_10_082 crossref_primary_10_1007_s40870_022_00359_2 crossref_primary_10_1016_j_jmps_2022_105093 crossref_primary_10_1016_j_compositesb_2021_109506 crossref_primary_10_1016_j_ijimpeng_2020_103510 crossref_primary_10_1016_j_ijmecsci_2022_107202 crossref_primary_10_1016_j_ijmecsci_2021_106750 crossref_primary_10_1016_j_mechmat_2022_104216 crossref_primary_10_1177_14644207241244731 crossref_primary_10_1016_j_euromechsol_2019_02_015 crossref_primary_10_3390_ma13010010 crossref_primary_10_1016_j_ijimpeng_2024_105127 crossref_primary_10_1016_j_marstruc_2018_08_008 crossref_primary_10_1016_j_tws_2023_111515 crossref_primary_10_1016_j_ijfatigue_2023_107601 crossref_primary_10_1016_j_ijmecsci_2022_107557 crossref_primary_10_1016_j_jmbbm_2019_103603 crossref_primary_10_1111_str_12452 crossref_primary_10_1016_j_msea_2021_141593 crossref_primary_10_1016_j_msea_2023_144942 crossref_primary_10_3390_ma14206206 crossref_primary_10_1016_j_ijmecsci_2021_107029 crossref_primary_10_1002_app_48701 crossref_primary_10_1007_s11431_020_1786_6 crossref_primary_10_1016_j_conbuildmat_2024_135298 crossref_primary_10_1016_j_ijmecsci_2021_106737 crossref_primary_10_1016_j_ijfatigue_2024_108420 crossref_primary_10_1016_j_ijimpeng_2020_103611 crossref_primary_10_1002_app_55962 crossref_primary_10_1520_JTE20220002 crossref_primary_10_1016_j_mtcomm_2024_109562 crossref_primary_10_1016_j_jmrt_2023_05_280 crossref_primary_10_1155_2021_1766952 crossref_primary_10_1016_j_mtcomm_2018_09_015 crossref_primary_10_1016_j_ijmecsci_2024_109784 crossref_primary_10_1016_j_ijmecsci_2023_108172 crossref_primary_10_1002_gamm_202200018 crossref_primary_10_1016_j_ijmecsci_2024_109787 crossref_primary_10_1016_j_addma_2018_11_018 crossref_primary_10_1016_j_measurement_2022_112339 crossref_primary_10_1142_S1758825122500545 crossref_primary_10_1016_j_compstruct_2024_117913 crossref_primary_10_1016_j_matpr_2023_03_339 crossref_primary_10_1007_s10853_022_07284_8 crossref_primary_10_1016_j_ijmecsci_2021_106746 crossref_primary_10_18698_2308_6033_2022_11_2228 crossref_primary_10_1007_s40870_022_00340_z crossref_primary_10_3390_jmmp6060140 crossref_primary_10_1080_13588265_2022_2093059 crossref_primary_10_1088_1361_665X_ab281d crossref_primary_10_1016_j_ijimpeng_2021_104088 crossref_primary_10_1016_j_ijimpeng_2022_104366 crossref_primary_10_1016_j_matlet_2023_135573 crossref_primary_10_1016_j_ijimpeng_2023_104640 crossref_primary_10_1016_j_tws_2020_106990 crossref_primary_10_1016_j_tws_2023_110858 crossref_primary_10_1016_j_conbuildmat_2022_129783 crossref_primary_10_1016_j_compositesb_2019_05_072 crossref_primary_10_1016_j_tws_2023_110734 crossref_primary_10_1021_acsomega_2c04826 crossref_primary_10_1016_j_apsusc_2018_11_026 crossref_primary_10_1016_j_dt_2022_09_011 crossref_primary_10_1080_15376494_2021_1948151 crossref_primary_10_2139_ssrn_4162447 crossref_primary_10_1007_s11665_021_06475_9 crossref_primary_10_1051_epjconf_202125002026 crossref_primary_10_1177_0309324720923214 crossref_primary_10_3390_met10040491 crossref_primary_10_1016_j_ijimpeng_2023_104527 crossref_primary_10_1016_j_tws_2025_113054 crossref_primary_10_1016_j_tws_2022_110460 crossref_primary_10_1016_j_engstruct_2024_118260 crossref_primary_10_1016_j_tws_2020_106767 crossref_primary_10_1007_s10443_024_10277_2 crossref_primary_10_1016_j_ijimpeng_2024_104992 crossref_primary_10_3390_polym16152145 crossref_primary_10_1007_s10853_024_09866_0 crossref_primary_10_1007_s40195_024_01808_8 crossref_primary_10_1016_j_euromechsol_2023_105212 crossref_primary_10_1016_j_engstruct_2024_118955 crossref_primary_10_1016_j_taml_2021_100288 crossref_primary_10_1016_j_tws_2021_108760 crossref_primary_10_1007_s11661_020_05928_5 crossref_primary_10_1080_15376494_2024_2406416 crossref_primary_10_1016_j_compstruct_2024_117944 crossref_primary_10_1016_j_matdes_2020_108599 crossref_primary_10_1016_S1003_6326_20_65480_2 crossref_primary_10_1016_j_matchar_2020_110631 crossref_primary_10_3390_ma16227076 crossref_primary_10_1016_j_ijimpeng_2019_103385 crossref_primary_10_1016_j_ijimpeng_2019_103386 crossref_primary_10_1007_s00170_024_13882_4 crossref_primary_10_1088_1742_6596_2160_1_012064 crossref_primary_10_3390_ma17081860 crossref_primary_10_1016_j_ijmecsci_2021_106723 crossref_primary_10_1016_j_compstruct_2022_116174 crossref_primary_10_1016_j_compstruct_2017_12_066 crossref_primary_10_1016_j_ijimpeng_2018_12_009 crossref_primary_10_1016_j_ijmecsci_2023_108102 crossref_primary_10_1002_adem_201800036 crossref_primary_10_1016_j_ijimpeng_2022_104389 crossref_primary_10_1016_j_ijimpeng_2024_104987 crossref_primary_10_3390_ma13061396 crossref_primary_10_1080_15376494_2023_2299932 crossref_primary_10_1155_2019_1087919 crossref_primary_10_3390_polym13193283 crossref_primary_10_1016_j_engstruct_2024_118047 crossref_primary_10_1016_j_commatsci_2024_113303 crossref_primary_10_3390_ma13173903 crossref_primary_10_1080_13588265_2019_1682351 crossref_primary_10_1002_adem_202000729 crossref_primary_10_1016_j_ijmecsci_2019_04_049 crossref_primary_10_1016_j_jallcom_2025_178719 crossref_primary_10_1016_j_tws_2020_107380 crossref_primary_10_1177_0021955X241246066 crossref_primary_10_1016_j_compstruct_2024_117949 crossref_primary_10_1016_j_ijmecsci_2022_107548 crossref_primary_10_1051_mfreview_2025001 crossref_primary_10_1016_j_ijmecsci_2023_108597 crossref_primary_10_1016_j_ijimpeng_2023_104789 crossref_primary_10_3390_aerospace11110881 crossref_primary_10_1016_j_ijimpeng_2023_104554 crossref_primary_10_1080_15376494_2021_2011992 crossref_primary_10_1016_j_ijimpeng_2023_104676 crossref_primary_10_1166_sam_2021_4112 crossref_primary_10_3390_met10020213 crossref_primary_10_1016_j_ijimpeng_2024_105147 crossref_primary_10_1177_0021955X19853422 crossref_primary_10_1016_j_ijimpeng_2024_105024 crossref_primary_10_3390_biomimetics5040059 crossref_primary_10_1016_j_tws_2020_107278 crossref_primary_10_1016_j_engstruct_2022_114327 crossref_primary_10_1051_epjconf_201818301041 crossref_primary_10_3390_ma15134651 crossref_primary_10_3390_ma16216886 crossref_primary_10_1002_adem_202201443 crossref_primary_10_1016_j_tws_2020_107153 crossref_primary_10_1038_s41598_022_16299_9 crossref_primary_10_1016_j_compstruct_2021_114106 crossref_primary_10_1016_j_compstruct_2021_114348 crossref_primary_10_1007_s11665_019_04207_8 crossref_primary_10_1088_2631_8695_ad2e51 crossref_primary_10_1016_j_ijmecsci_2020_105679 crossref_primary_10_1007_s42154_023_00237_0 crossref_primary_10_3390_ma12244108 crossref_primary_10_1177_1099636221994140 crossref_primary_10_1111_str_12478 crossref_primary_10_32604_cmes_2021_014828 crossref_primary_10_1016_j_engstruct_2024_119260 crossref_primary_10_1016_j_tws_2022_109808 |
Cites_doi | 10.1016/S0020-7403(00)00042-4 10.1016/j.ijsolstr.2010.11.014 10.1016/j.actamat.2012.02.013 10.1007/s10853-005-6100-8 10.1016/S0734-743X(02)00056-8 10.1016/j.ijimpeng.2005.07.012 10.1016/j.scriptamat.2007.07.024 10.1007/s00603-010-0089-2 10.1016/j.polymertesting.2006.05.005 10.1680/stbu.2009.162.1.77 10.1007/s11661-006-1072-0 10.1016/j.compstruct.2007.04.016 10.1016/S1359-6454(00)00379-7 10.1111/j.1475-1305.2008.00533.x 10.1016/S0734-743X(97)00016-X 10.1016/j.msea.2007.05.098 10.1016/j.matdes.2009.01.026 10.1016/j.msea.2015.03.052 10.1016/j.msea.2014.08.002 10.1016/j.ijsolstr.2013.02.018 10.1557/mrs2003.83 10.1016/S1359-6454(97)00453-9 10.1177/026248938900800501 10.1016/j.ijimpeng.2014.10.009 10.1016/j.mechmat.2010.01.003 10.1016/j.matdes.2015.06.124 10.1016/j.matdes.2008.03.028 10.1016/j.jmps.2005.05.007 10.1016/j.ijsolstr.2004.05.039 10.1016/j.ijmecsci.2009.03.002 10.1016/j.matdes.2015.09.109 10.1016/S0020-7683(99)00277-2 10.1016/S0020-7403(02)00060-7 10.1016/j.msea.2010.12.059 10.1002/adma.201401804 10.1016/j.matdes.2016.07.123 10.1016/j.ijimpeng.2012.07.002 10.1016/j.compstruct.2012.02.024 10.1016/j.scriptamat.2005.10.062 10.1016/j.ijsolstr.2011.05.002 10.1016/j.ijimpeng.2016.01.007 10.1016/j.ijimpeng.2012.02.008 10.1016/j.compstruct.2016.09.091 10.3850/S2010428612000220 10.1016/j.ijimpeng.2014.03.007 10.1115/1.1629109 10.1016/j.compstruct.2016.06.059 10.1016/j.compstruct.2012.09.002 10.1016/j.ijimpeng.2009.05.011 10.1016/0734-743X(94)00062-2 10.1016/j.compstruct.2011.12.021 10.1016/0020-7403(66)90019-1 10.1016/S1359-6454(03)00322-7 10.1016/j.compositesb.2010.07.005 10.1016/S1359-6462(00)00460-7 10.1115/1.2812258 10.1016/j.ijsolstr.2010.11.004 10.1016/j.actamat.2003.10.021 10.1016/j.compstruct.2012.10.008 10.1016/S0749-6419(02)00017-7 10.1016/0749-6419(92)90057-J 10.1061/(ASCE)EM.1943-7889.0000585 10.1007/s10853-005-4994-9 10.1016/j.msea.2007.10.050 10.1016/j.ijimpeng.2009.03.011 10.1016/j.ijsolstr.2013.11.020 10.1016/j.mechmat.2008.08.002 10.1016/j.matlet.2008.11.002 10.1016/j.ijsolstr.2010.11.005 10.1002/adem.200600035 10.1007/978-3-7091-0297-8_2 10.1002/(SICI)1527-2648(200004)2:4<210::AID-ADEM210>3.0.CO;2-Z 10.1061/(ASCE)0733-9399(1995)121:4(528) 10.1016/S0020-7403(00)00043-6 10.1016/j.ijmecsci.2017.05.024 10.1016/j.ijimpeng.2012.03.001 10.1016/j.pmatsci.2010.06.001 10.1016/j.matdes.2013.06.076 10.1016/j.ijmecsci.2005.09.004 10.1016/j.ijsolstr.2006.12.017 10.1016/S0734-743X(02)00012-X 10.1016/0734-743X(94)00061-Z 10.1557/jmr.2013.97 10.1002/adem.201600776 10.1016/0734-743X(89)90030-4 10.1002/pen.760321611 10.1016/j.mechmat.2013.08.009 10.1016/j.ijmecsci.2015.04.019 10.1016/j.actaastro.2012.09.012 10.1016/S0263-8223(01)00029-0 10.1016/j.mechmat.2003.05.004 10.1016/j.ijimpeng.2017.07.005 10.1016/j.matdes.2010.04.007 10.1016/j.ijsolstr.2008.09.008 10.1016/j.ijmecsci.2010.06.004 10.1016/S0020-7403(01)00091-1 10.1179/1743280413Y.0000000023 10.1016/j.compositesb.2011.02.014 10.1016/S0921-5093(99)00170-7 10.1016/j.ijimpeng.2007.11.007 10.1016/j.msea.2015.02.027 10.1016/j.actamat.2013.01.011 10.1016/j.ijimpeng.2013.01.008 10.1016/j.ijsolstr.2014.03.012 10.1016/j.ijsolstr.2007.07.003 10.1016/j.jmps.2007.04.004 10.1007/s00193-012-0414-7 10.1016/S0079-6425(00)00002-5 10.1016/j.compstruct.2012.09.024 10.1016/S0022-5096(99)00030-7 10.1016/j.jmps.2014.07.013 10.1016/S0020-7403(02)00061-9 10.1016/j.ijimpeng.2005.10.005 10.1016/j.ijsolstr.2011.03.006 10.1016/j.compstruct.2010.11.018 10.1590/1679-78251300 10.1016/j.compstruct.2010.02.013 10.1016/j.ijimpeng.2011.09.004 10.1016/j.ijimpeng.2005.04.006 10.1115/1.2040452 10.1016/S1359-6454(02)00541-4 10.1016/j.ijimpeng.2011.09.009 10.1016/S0020-7403(89)80001-3 10.1115/1.2903349 10.1007/s11433-009-0271-2 10.1016/j.msea.2016.04.046 10.1016/j.msea.2014.08.087 10.1016/S0734-743X(03)00066-6 10.1016/j.msea.2016.02.031 10.1016/j.conbuildmat.2015.10.112 10.1016/S0734-743X(96)00038-3 10.1177/0021955X06063519 10.1016/j.ijimpeng.2007.02.007 10.1016/j.matdes.2007.01.026 10.1007/s10409-010-0392-x 10.1016/S1359-6454(98)00017-2 10.1016/j.mechmat.2016.04.004 10.1016/j.ijimpeng.2005.05.007 10.1016/0022-5096(66)90038-X 10.1007/s10853-007-1612-z 10.1016/j.actamat.2016.03.003 10.1063/1.1592010 10.1590/1679-78253428 10.1016/j.euromechsol.2009.04.002 10.1016/S0734-743X(03)00062-9 10.1016/S0734-743X(02)00011-8 10.1016/j.actamat.2005.04.010 10.1016/j.msea.2014.01.076 10.1016/j.ijimpeng.2005.08.002 10.1016/j.compositesb.2007.02.005 10.1016/S1359-6454(01)00072-6 10.1016/S0020-7683(03)00057-X 10.1111/j.1151-2916.1998.tb02528.x 10.1016/S0263-8223(02)00100-9 10.1016/S0734-743X(03)00061-7 10.1016/S0734-743X(01)00155-5 10.1016/j.ijimpeng.2009.05.010 10.1016/j.msea.2006.11.091 10.1016/j.ijimpeng.2015.03.011 10.1046/j.1475-1305.2002.00029.x 10.1007/s11661-005-0180-6 10.1016/j.ijsolstr.2010.03.025 10.1016/j.msea.2009.07.017 10.1016/S0020-7403(99)00043-0 10.1016/j.ijimpeng.2016.09.013 10.1016/S0022-5096(99)00035-6 10.1016/j.ijimpeng.2008.11.013 10.1016/j.jmps.2005.05.003 10.1016/j.matdes.2012.12.050 10.1016/j.ijimpeng.2012.06.012 10.1016/0734-743X(83)90005-2 10.1016/j.ijimpeng.2013.07.004 10.1002/adem.200800241 10.1016/j.mechmat.2005.05.018 10.1016/j.actaastro.2010.05.021 10.1016/S0020-7403(99)00021-1 10.1142/S1758825110000627 10.1016/S0734-743X(02)00016-7 10.1016/j.matdes.2012.08.016 10.1016/S1359-6454(97)00421-7 10.1016/j.finel.2008.07.007 10.1016/j.compositesb.2015.09.042 10.1016/j.msea.2012.02.010 10.1016/S0921-5093(01)01372-7 10.1016/S1044-5803(02)00194-8 10.1016/0734-743X(92)90251-N 10.1016/j.msea.2012.11.034 10.1016/j.msea.2012.02.074 10.1016/0734-743X(83)90014-3 10.1146/annurev-matsci-070115-031624 10.1016/j.ijsolstr.2013.05.017 10.1016/j.ijimpeng.2007.11.008 10.1016/j.ijmecsci.2010.02.002 10.1007/BF01414711 10.1016/j.ijmecsci.2004.12.007 10.1016/j.ijimpeng.2017.04.007 10.1016/j.ijsolstr.2010.10.018 10.1016/S0921-5093(99)00750-9 10.1115/1.3226029 10.1016/j.ijsolstr.2008.10.016 10.1016/j.ijsolstr.2012.02.029 10.1016/j.ijimpeng.2016.05.020 10.1016/j.msea.2014.10.026 10.1142/S1758825116500575 10.1016/j.ijmecsci.2004.12.013 10.1016/j.msea.2009.07.007 10.1016/S0927-0256(99)00046-4 10.1007/BF01413796 10.1016/S0020-7403(96)00065-3 10.1016/j.jmps.2004.09.003 10.1016/j.ijsolstr.2015.02.034 10.1016/j.msea.2009.03.067 10.1016/j.scriptamat.2006.06.001 10.1016/S0263-8223(03)00039-4 10.1016/j.ijimpeng.2014.11.006 10.1061/(ASCE)CF.1943-5509.0000606 10.1016/j.compscitech.2006.05.005 10.1016/S0734-743X(99)00153-0 10.1016/S0921-5093(00)01219-3 10.1111/j.1365-2818.2006.01607.x 10.1016/j.actamat.2008.07.023 10.1016/j.ijsolstr.2009.07.024 10.1177/1099636207070997 10.1016/S0022-5096(99)00082-4 10.1016/j.ijmecsci.2009.08.008 10.1090/qam/48291 10.1016/j.msea.2017.01.092 10.1016/j.ijmecsci.2004.12.012 10.1016/j.compstruct.2008.05.012 10.1016/j.jmps.2005.07.007 10.1016/j.mechmat.2016.07.001 10.1007/s11661-012-1532-7 10.1016/S0734-743X(97)00004-3 10.1016/S1359-6462(03)00431-7 10.1115/1.2040450 10.1002/(SICI)1527-2648(200004)2:4<179::AID-ADEM179>3.0.CO;2-G 10.1126/science.1240889 10.1016/j.jmps.2007.04.005 10.1177/0021955X7401000306 10.1016/S0734-743X(00)00007-5 10.1016/j.ijimpeng.2008.03.001 10.1016/j.ijsolstr.2012.03.012 10.1016/j.msea.2014.01.040 10.1016/j.msea.2011.02.031 10.1016/j.ijsolstr.2013.11.019 10.1016/j.mechmat.2015.11.014 10.1016/j.ijsolstr.2004.06.038 10.1098/rsta.2005.1678 10.1179/026708302225002092 10.1016/S1359-6462(99)00038-X 10.1016/j.ijsolstr.2005.06.101 10.1016/j.ijimpeng.2013.06.002 10.1016/S1359-6454(98)00072-X 10.1007/s00707-013-1054-4 10.1016/j.ijsolstr.2012.03.026 10.1016/j.ijsolstr.2013.10.019 10.1016/j.ijsolstr.2012.05.005 10.1016/j.ijplas.2008.10.001 10.1016/j.ijmecsci.2014.03.027 10.1016/S1359-6454(00)00314-1 10.1016/j.ijimpeng.2004.07.012 10.1038/nmat4694 10.1016/0020-7403(84)90021-3 10.1146/annurev-matsci-070511-155106 10.1177/0021955X08095113 10.1016/S0020-7403(89)80002-5 10.1016/S0734-743X(98)00034-7 10.1016/S0734-743X(97)00087-0 10.1016/j.ijimpeng.2009.12.001 10.1016/j.ijengsci.2008.03.012 10.1016/j.ijimpeng.2016.05.011 10.1016/S1359-6454(98)00025-1 10.1016/j.commatsci.2010.11.025 10.1016/j.compstruct.2009.07.018 10.1080/14786446408643668 |
ContentType | Journal Article |
Copyright | 2017 Elsevier Ltd Copyright Elsevier BV Feb 2018 |
Copyright_xml | – notice: 2017 Elsevier Ltd – notice: Copyright Elsevier BV Feb 2018 |
DBID | AAYXX CITATION 7SR 7TB 8BQ 8FD FR3 JG9 KR7 |
DOI | 10.1016/j.ijimpeng.2017.10.006 |
DatabaseName | CrossRef Engineered Materials Abstracts Mechanical & Transportation Engineering Abstracts METADEX Technology Research Database Engineering Research Database Materials Research Database Civil Engineering Abstracts |
DatabaseTitle | CrossRef Materials Research Database Civil Engineering Abstracts Engineered Materials Abstracts Technology Research Database Mechanical & Transportation Engineering Abstracts Engineering Research Database METADEX |
DatabaseTitleList | Materials Research Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Engineering |
EISSN | 1879-3509 |
EndPage | 115 |
ExternalDocumentID | 10_1016_j_ijimpeng_2017_10_006 S0734743X17301665 |
GroupedDBID | --K --M .~1 0R~ 1B1 1~. 1~5 29J 4.4 457 4G. 5GY 5VS 6TJ 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABEFU ABFNM ABJNI ABMAC ABXDB ABYKQ ACDAQ ACGFS ACIWK ACNNM ACRLP ADBBV ADEZE ADMUD ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AIEXJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HVGLF HZ~ IHE J1W JJJVA KOM LY7 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SDF SDG SES SET SEW SPC SPCBC SST SSZ T5K TN5 UHS WUQ XPP ZMT ~G- AATTM AAXKI AAYWO AAYXX ABWVN ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AFXIZ AGCQF AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP BNPGV CITATION EFKBS 7SR 7TB 8BQ 8FD FR3 JG9 KR7 SSH |
ID | FETCH-LOGICAL-c388t-463a53de04f8f569d09932cbaf6d62a65178a5c201bd7b5286b18e8702b8e6813 |
IEDL.DBID | .~1 |
ISSN | 0734-743X |
IngestDate | Fri Jul 25 03:22:41 EDT 2025 Thu Apr 24 23:02:26 EDT 2025 Sun Aug 03 02:33:29 EDT 2025 Fri Feb 23 02:28:26 EST 2024 |
IsDoiOpenAccess | false |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Keywords | Shock Dynamic compressive behaviour Foam Wood Strain-rate effect Multiscale analysis Lattice material Modelling Honeycomb |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c388t-463a53de04f8f569d09932cbaf6d62a65178a5c201bd7b5286b18e8702b8e6813 |
Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
OpenAccessLink | https://www.research.manchester.ac.uk/portal/en/publications/dynamic-compressive-behaviour-of-cellular-materials-a-review-of-phenomenon-mechanism-and-modelling(95ad42b5-b276-4a17-93cd-4e6654ff7c79).html |
PQID | 2067364230 |
PQPubID | 2045463 |
PageCount | 42 |
ParticipantIDs | proquest_journals_2067364230 crossref_primary_10_1016_j_ijimpeng_2017_10_006 crossref_citationtrail_10_1016_j_ijimpeng_2017_10_006 elsevier_sciencedirect_doi_10_1016_j_ijimpeng_2017_10_006 |
PublicationCentury | 2000 |
PublicationDate | February 2018 2018-02-00 20180201 |
PublicationDateYYYYMMDD | 2018-02-01 |
PublicationDate_xml | – month: 02 year: 2018 text: February 2018 |
PublicationDecade | 2010 |
PublicationPlace | Oxford |
PublicationPlace_xml | – name: Oxford |
PublicationTitle | International journal of impact engineering |
PublicationYear | 2018 |
Publisher | Elsevier Ltd Elsevier BV |
Publisher_xml | – name: Elsevier Ltd – name: Elsevier BV |
References | Sun, Zhang, Shao, Li (bib0021) 2017; 688 Daxner, Böhm, Rammerstorfer (bib0226) 1999; 16 Hönig, Stronge (bib0174) 2002; 44 Ma, Ye (bib0256) 2007; 34 Gibson, Ashby (bib0001) 1997 Liu, Zhang (bib0038) 2009; 36 Sun, Lowe, McDonald, Li, Withers (bib0240) 2014 Wang, Zhang, Ren, Zhao (bib0225) 2010; 53 Tan, Harrigan, Reid (bib0101) 2002; 18 Qin, Wang (bib0280) 2011; 93 Shim, Tay, Stronge (bib0223) 1990; 112 Ruan, Lu, Wang, Yu (bib0066) 2003; 28 Zheng, Yu, Wang, Liao, Liu (bib0106) 2013; 53 Song, Chen, Lu (bib0088) 2007; 42 Zheng, Yu, Li (bib0067) 2005; 32 Dou, Jiang, Wu, Zhang, Xiu, Chen (bib0135) 2007; 57 Öchsner, Mishuris (bib0213) 2009; 45 Aleyaasin, Harrigan, Reid (bib0258) 2015; 91 Petel, Ouellet, Higgins, Frost (bib0075) 2013; 23 Ramachandra, Sudheer Kumar, Ramamurty (bib0132) 2003; 49 Ousji, Belkassem, Louar, Reymen, Martino, Lecompte (bib0252) 2017; 128 Triantafillou, Zhang, Shercliff, Gibson, Ashby (bib0275) 1989; 31 Hou, Ono, Abdennadher, Pattofatto, Li, Zhao (bib0291) 2011; 48 Qin, Wang (bib0287) 2013; 96 Davison (bib0155) 2008 Chung, Waas (bib0290) 2002; 27 Barnes, Ravi-Chandar, Kyriakides, Gaitanaros (bib0069) 2014; 51 Brydon, Bardenhagen, Miller, Seidler (bib0237) 2005; 53 Doyoyo, Wierzbicki (bib0271) 2003; 19 Qin, Wang (bib0277) 2009; 88 Ryan, Christiansen (bib0009) 2013; 83 Zhang, Qin, Xiang, Wang, Wang (bib0283) 2016; 96 Dannemann, Lankford Jr (bib0143) 2000; 293 Hall, Guden, Yu (bib0136) 2000; 43 Hadjesfandiari, Dargush (bib0264) 2011; 48 Ma, Ye (bib0257) 2007; 34 Sun, Li, McDonald, Withers (bib0025) 2016; 99 Li, Zhang, Fan, Wang, Zhao (bib0105) 2014; 68 Xu, Beynon, Ruan, Yu (bib0138) 2012; 47 Xu, Ruan, Lu (bib0108) 2014; 74 Montanini (bib0115) 2005; 47 Chen, Das, Battley (bib0239) 2017; 159 Simone, Gibson (bib0032) 1998; 46 Wang, Shen, Lu, Zhao (bib0104) 2011; 528 Li, Magkiriadis, Harrigan (bib0100) 2006; 42 Lopatnikov, Gama, Haque, Krauthauser, Gillespie (bib0254) 2004; 30 Koohbor, Ravindran, Kidane (bib0188) 2017 Elnasri, Pattofatto, Zhao, Tsitsiris, Hild, Girard (bib0013) 2007; 55 Gama, Bogetti, Fink, Yu, Dennis Claar, Eifert (bib0006) 2001; 52 Flores-Johnson, Li, Mines (bib0099) 2008; 44 Karagiozova, Alves (bib0261) 2014; 51 Jeon, Asahina (bib0041) 2005; 53 Ben-Dor, Mazor, Igra, Sorek, Onodera (bib0074) 1994; 3 Maxwell (bib0200) 1864; 27 Daxner (bib0232) 2010; 521 Harrigan, Reid, Tan, Yella Reddy (bib0154) 2005; 47 Alvandi-Tabrizi, Whisler, Kim, Rabiei (bib0221) 2015; 631 Compton, Lewis (bib0296) 2014; 26 Zou, Reid, Tan, Li, Harrigan (bib0020) 2009; 36 Chakravarty (bib0146) 2010; 92 Maire, Withers (bib0189) 2014; 59 Hönig, Stronge (bib0194) 2000; 24 Gibson, Ashby, Zhang, Triantafillou (bib0267) 1989; 31 Zhu, Chou, Yang (bib0077) 2011; 42 Idris, Vodenitcharova, Hoffman (bib0103) 2009; 517 Hou, Zhao, Pattofatto, Liu, Li (bib0048) 2012; 49 Ding, Wang, Zhao, Zheng, Yang, Yu (bib0253) 2016; 08 Zhang, Yu (bib0197) 1989; 8 Ruan, Lu, Chen, Siores (bib0247) 2002; 57 Simone, Gibson (bib0033) 1998; 46 Hönig, Stronge (bib0175) 2002; 44 Deshpande, Fleck (bib0064) 2000; 24 Zhou, Allameh, Soboyejo (bib0184) 2005; 40 H.J. Frost, M.F. Ashby, Deformation mechanism maps: the plasticity and creep of metals and ceramics, (1982). Maji, Schreyer, Donald, Zuo, Satpathi (bib0270) 1995; 121 Lefebvre, Banhart, Dunand (bib0008) 2008; 10 Qiu, Zhang, Yu (bib0080) 2009; 36 Markaki, Clyne (bib0185) 2001; 49 Sun, Li (bib0034) 2015; 63 Kader, Islam, Hazell, Escobedo, Saadatfar, Brown (bib0165) 2016; 96 Yi, Chen (bib0086) 2012; 47 Cheung, Gershenfeld (bib0297) 2013; 341 Jang, Kyriakides (bib0207) 2009; 46 Cady, Gray Iii, Liu, Lovato, Mukai (bib0142) 2009; 525 Da Silva, Kyriakides (bib0204) 2007; 44 Jones (bib0177) 2011 Fleck, Deshpande (bib0209) 2005; 72 Paul, Ramamurty (bib0131) 2000; 281 Li, Mines (bib0093) 2002; 38 Rabiei, Vendra (bib0057) 2009; 63 Rajendran, Prem Sai, Chandrasekar, Gokhale, Basu (bib0286) 2008; 29 Alkhader, Vural (bib0039) 2008; 46 Wang (bib0150) 2007 He, Zhang, Dai, Jiang (bib0082) 2014; 618 Hu, Yu (bib0163) 2013; 50 Toda, Takata, Ohgaki, Kobayashi, Kobayashi, Uesugi (bib0166) 2006; 8 Ivañez, Santiuste, Sanchez-Saez (bib0281) 2010; 92 Bart-Smith, Bastawros, Mumm, Evans, Sypeck, Wadley (bib0031) 1998; 46 Banhart (bib0004) 2001; 46 Zhou, Zhao, Ma (bib0076) 2012; 2 Islam, Kader, Hazell, Brown, Saadatfar, Quadir (bib0183) 2016; 666 Wang, Waas, Wang (bib0288) 2013; 96 Fang, Zhang, Zhang, Gong, Wu (bib0220) 2015; 82 Ajdari, Nayeb-Hashemi, Canavan, Warner (bib0046) 2008; 487 Ashby (bib0078) 2006; 364 Miyoshi, Itoh, Akiyama, Kitahara (bib0182) 2000; 2 Hanssen, Enstock, Langseth (bib0072) 2002; 27 Yi, Zhu, Zu, Hu, Yi (bib0133) 2001; 47 Sun, Amirrasouli, Razavi, Li, Lowe, Withers (bib0096) 2016; 110 McDonald, Mummery, Johnson, Withers (bib0173) 2006; 223 Tan, Reid, Harrigan (bib0208) 2005; 72 Sun, Li, Withers (bib0242) 2015 Zheng, Qin, Wang (bib0083) 2016; 94 Bardenhagen, Brydon, Guilkey (bib0236) 2005; 53 Sun, Zhang, Zhao, Li, Xing, Gong (bib0244) 2013; 96 Shim, Yap, Stronge (bib0224) 1992; 12 Ashby, Evans, Fleck, Gibson, Hutchinson, Wadley (bib0003) 2000 Gaitanaros, Kyriakides (bib0158) 2014; 51 Hu, Yu (bib0230) 2010; 37 Chen, Lu, Fleck (bib0040) 1999; 47 Ryan, Hedman, Christiansen (bib0010) 2010; 67 Wang, Xu, Li, Yang, Zheng, Hu (bib0192) 2014; 599 Sherwood, Frost (bib0123) 1992; 32 Hanssen, Hopperstad, Langseth, Ilstad (bib0246) 2002; 44 Liu, Antoniou (bib0015) 2013; 61 Tan, Reid, Harrigan, Zou, Li (bib0054) 2005; 53 Xu, Beynon, Ruan, Lu (bib0137) 2012; 94 Karagiozova, Alves (bib0262) 2015; 12 Lee, Barthelat, Moldovan, Espinosa, Wadley (bib0068) 2006; 43 Li, Meng (bib0073) 2002; 27 Lu, Yu (bib0250) 2003 Zheng, Smith, Jackson, Moran, Cui, Chen (bib0087) 2016; 15 Karagiozova, Alves (bib0049) 2017; 108 Zhao, Abdennadher (bib0063) 2004; 41 Ajdari, Nayeb-Hashemi, Vaziri (bib0042) 2011; 48 Jeon, Asahina, Kang, Im, Lu (bib0024) 2010; 42 Gaitanaros, Kyriakides (bib0159) 2015; 82 Calladine, English (bib0058) 1984; 26 Morris (bib0160) 1991; 1 Schaedler, Carter (bib0079) 2016; 46 Zhang, Lin, Wong, Kikuchi, Li, Yee (bib0272) 1997; 119 Tan, Reid, Harrigan, Zou, Li (bib0055) 2005; 53 Ma, Ye, Shao (bib0070) 2009; 36 de Sousa, Rambo, Hotza, Oliveira, Fey, Greil (bib0095) 2008; 476 Rajaneesh, Sridhar, Rajendran (bib0282) 2012; 94 Duarte, Vesenjak, Krstulović-Opara (bib0120) 2014; 616 Radford, Deshpande, Fleck (bib0147) 2005; 31 Flores-Johnson, Li (bib0102) 2010; 47 Fang, Li, Zhao (bib0110) 2010; 26 Xu, Zhang, Wang (bib0215) 2010; 02 Liao, Zheng, Yu (bib0023) 2014; 51 Veyhl, Fiedler, Jehring, Andersen, Bernthaler, Belova (bib0243) 2013; 562 Gao, Yu, Lu (bib0198) 2005; 31 Onck, Andrews, Gibson (bib0091) 2001; 43 Lopatnikov, Gama, Haque, Krauthauser, Gillespie Jr, Guden (bib0148) 2003; 61 Roberts, Garboczi (bib0227) 2001; 49 Tang, Shi, Zhang, Liu, Jiang, Liu (bib0035) 2014; 225 Chung, Waas (bib0289) 2002; 27 Zheng, Wang, Yu, Reid, Harrigan (bib0149) 2014; 72 Harrigan, Reid, Seyed Yaghoubi (bib0171) 2010; 37 Benouali, Froyen, Dillard, Forest, N'guyen (bib0191) 2005; 40 Banerjee, Bhawalkar (bib0219) 2006 Song, Wang, Zhao, Luo (bib0245) 2010; 31 Wilbert, Jang, Kyriakides, Floccari (bib0202) 2011; 48 Hasan, Kim, Lee (bib0016) 2008; 83 Jeon, Katou, Sonoda, Asahina, Kang (bib0193) 2009; 41 Hu, Hu, Cai (bib0231) 2014; 598 Hallquist (bib0276) 2005 Zhang, Xu, Wang, Chen (bib0214) 2009; 25 Cichocki, Trumble, Rödel (bib0084) 1998; 81 Qin, Wang (bib0279) 2009; 28 König, Doleisch, Kottar, Kriszt, Gröller (bib0017) 2000 Walley, Field (bib0178) 1994; 1 Triawan, Kishimoto, Adachi, Inaba, Nakamura, Hashimura (bib0098) 2012; 60 Zhang, Yu (bib0217) 2009; 51 Banhart (bib0005) 2003; 28 Ding, Wang, Zheng, Yang, Yu (bib0156) 2016; 100 Xi, Li (bib0052) 2017; 109 Abrate (bib0268) 2008; 10 Kumar, McDowell (bib0265) 2004; 41 Merrett, Langdon, Theobald (bib0126) 2013; 44 Vural, Ravichandran (bib0092) 2003; 40 Kitazono, Takiguchi (bib0181) 2006; 55 Mohr, Doyoyo (bib0203) 2003; 94 Wang, Wang, Zheng, Yu (bib0053) 2017; 14 Stronge, Shim (bib0222) 1988; 110 Zhang, Qin, Wang, Ai, Wang (bib0284) 2015; 99 Papka, Kyriakides (bib0201) 1998; 46 Zhou, Wang, Zhao, Shu (bib0274) 2012; 543 Toda, Kobayashi, Niinomi, Ohgaki, Kobayashi, Kuroda (bib0187) 2006; 37 Li, Xue, Chen, Butt (bib0228) 2015; 636 Gibson (bib0027) 1981 Wang, Xu, Li, Yang, Zhang, Zheng (bib0114) 2015; 620 Ruan, Lu, Ong, Wang (bib0014) 2007; 67 Liu, Yu, Zheng, Li (bib0059) 2009; 46 Simone, Gibson (bib0012) 1998; 46 Andrews, Sanders, Gibson (bib0168) 1999; 270 Maire (bib0234) 2012; 42 Schraad, Harlow (bib0216) 2006; 48 Darvizeh, Davey (bib0249) 2015; 82 Tan, Reid, Harrigan (bib0145) 2012; 49 Li, Reid (bib0167) 2006; 32 Sadot, Ram, Anteby, Gruntman, Ben-Dor (bib0218) 2016; 659 Chakravarty, Mahfuz, Saha, Jeelani (bib0129) 2003; 51 Gioux, McCormack, Gibson (bib0062) 2000; 42 Ma, Wang, Li (bib0186) 2010; 43 Hu, You, Yu (bib0229) 2014; 53 Zhao, Gary, Klepaczko (bib0113) 1997; 19 Li, Xue, Luo (bib0170) 2016; 110 Zhou, Ma, Li, Zhao (bib0011) 2015; 29 Yu, Li, Hu (bib0028) 2006; 38 Zhou, Wang, Wang, Zhao, Ma (bib0294) 2015; 84 Wang, Zhu, Lai (bib0117) 2011; 47 Gibson, Ashby, Harley (bib0007) 2010 Bastawros, Evans (bib0019) 2000; 2 Su, Yu, Reid (bib0196) 1995; 16 Ouellet, Cronin, Worswick (bib0124) 2006; 25 Andrews, Gioux, Onck, Gibson (bib0090) 2001; 43 Reid, Peng (bib0153) 1997; 19 Karagiozova (bib0050) 2004; 30 Petit, Meille, Maire (bib0233) 2013; 28 Miller (bib0273) 2000; 42 Fleck, Deshpande (bib0251) 2004; 71 Simulia, ABAQUS analysis user's manual, ABAQUS v6.12 Documentation, (Dassault Systémes, V6.12). Mukai, Kanahashi, Miyoshi, Mabuchi, Nieh, Higashi (bib0130) 1999; 40 Jang, Kyriakides (bib0206) 2009; 46 Ramamurty, Paul (bib0119) 2004; 52 Xu, Shen, Beynon, Ruan, Lu (bib0140) 2010 Shaw, Sata (bib0061) 1966; 8 Wang, Yang, Ding (bib0071) 2013 Zhang, Qin, Xiang, Wang (bib0285) 2016; 153 Karagiozova, Jones (bib0051) 2004; 30 Veyhl, Belova, Murch, Fiedler (bib0238) 2011; 528 Zhou, Zhao, Ma (bib0259) 2013; 139 Shen, Lu, Ruan (bib0107) 2010; 41 Khan, Huang (bib0180) 1992; 8 Karagiozova, Langdon, Nurick (bib0172) 2012; 49 Tagarielli, Deshpande, Fleck (bib0127) 2008; 39 Vesenjak, Veyhl, Fiedler (bib0190) 2012; 541 Pattofatto, Elnasri, Zhao, Tsitsiris, Hild, Girard (bib0210) 2007; 55 Drucker, Prager (bib0269) 1952; 10 Zhang, Kikuchi, Li, Yee, Nusholtz (bib012 Han (10.1016/j.ijimpeng.2017.10.006_bib0144) 2005; 36 Andrews (10.1016/j.ijimpeng.2017.10.006_bib0090) 2001; 43 Tang (10.1016/j.ijimpeng.2017.10.006_bib0035) 2014; 225 Morris (10.1016/j.ijimpeng.2017.10.006_bib0160) 1991; 1 Xu (10.1016/j.ijimpeng.2017.10.006_bib0140) 2010 Tekoğlu (10.1016/j.ijimpeng.2017.10.006_bib0089) 2011; 56 Zhou (10.1016/j.ijimpeng.2017.10.006_bib0011) 2015; 29 Ashby (10.1016/j.ijimpeng.2017.10.006_bib0078) 2006; 364 Berezovski (10.1016/j.ijimpeng.2017.10.006_bib0266) 2013; 50 Ruan (10.1016/j.ijimpeng.2017.10.006_bib0247) 2002; 57 Jeon (10.1016/j.ijimpeng.2017.10.006_bib0041) 2005; 53 Liu (10.1016/j.ijimpeng.2017.10.006_bib0015) 2013; 61 Hall (10.1016/j.ijimpeng.2017.10.006_bib0136) 2000; 43 Tan (10.1016/j.ijimpeng.2017.10.006_bib0145) 2012; 49 Papka (10.1016/j.ijimpeng.2017.10.006_bib0201) 1998; 46 Calladine (10.1016/j.ijimpeng.2017.10.006_bib0058) 1984; 26 Hasan (10.1016/j.ijimpeng.2017.10.006_bib0016) 2008; 83 Kasparek (10.1016/j.ijimpeng.2017.10.006_bib0125) 2011; 50 Miller (10.1016/j.ijimpeng.2017.10.006_bib0273) 2000; 42 Karagiozova (10.1016/j.ijimpeng.2017.10.006_bib0050) 2004; 30 Mukai (10.1016/j.ijimpeng.2017.10.006_bib0130) 1999; 40 Park (10.1016/j.ijimpeng.2017.10.006_bib0128) 2002; 323 Pattofatto (10.1016/j.ijimpeng.2017.10.006_bib0210) 2007; 55 Xu (10.1016/j.ijimpeng.2017.10.006_bib0137) 2012; 94 Koohbor (10.1016/j.ijimpeng.2017.10.006_bib0188) 2017 Mohr (10.1016/j.ijimpeng.2017.10.006_bib0203) 2003; 94 Cichocki (10.1016/j.ijimpeng.2017.10.006_bib0084) 1998; 81 Zhu (10.1016/j.ijimpeng.2017.10.006_bib0077) 2011; 42 Shen (10.1016/j.ijimpeng.2017.10.006_bib0107) 2010; 41 Karagiozova (10.1016/j.ijimpeng.2017.10.006_bib0051) 2004; 30 Jeon (10.1016/j.ijimpeng.2017.10.006_bib0193) 2009; 41 Zhou (10.1016/j.ijimpeng.2017.10.006_bib0294) 2015; 84 Chen (10.1016/j.ijimpeng.2017.10.006_bib0040) 1999; 47 Miyoshi (10.1016/j.ijimpeng.2017.10.006_bib0182) 2000; 2 Gao (10.1016/j.ijimpeng.2017.10.006_bib0198) 2005; 31 Yi (10.1016/j.ijimpeng.2017.10.006_bib0133) 2001; 47 Veyhl (10.1016/j.ijimpeng.2017.10.006_bib0238) 2011; 528 Schraad (10.1016/j.ijimpeng.2017.10.006_bib0216) 2006; 48 Petit (10.1016/j.ijimpeng.2017.10.006_bib0233) 2013; 28 Wang (10.1016/j.ijimpeng.2017.10.006_bib0288) 2013; 96 Lee (10.1016/j.ijimpeng.2017.10.006_bib0068) 2006; 43 Liu (10.1016/j.ijimpeng.2017.10.006_bib0038) 2009; 36 Qin (10.1016/j.ijimpeng.2017.10.006_bib0287) 2013; 96 Chung (10.1016/j.ijimpeng.2017.10.006_bib0289) 2002; 27 Aleyaasin (10.1016/j.ijimpeng.2017.10.006_bib0258) 2015; 91 Zhang (10.1016/j.ijimpeng.2017.10.006_bib0272) 1997; 119 Zheng (10.1016/j.ijimpeng.2017.10.006_bib0083) 2016; 94 Maire (10.1016/j.ijimpeng.2017.10.006_bib0189) 2014; 59 Cady (10.1016/j.ijimpeng.2017.10.006_bib0142) 2009; 525 Gibson (10.1016/j.ijimpeng.2017.10.006_bib0007) 2010 Yi (10.1016/j.ijimpeng.2017.10.006_bib0086) 2012; 47 Askes (10.1016/j.ijimpeng.2017.10.006_bib0263) 2011; 48 Liu (10.1016/j.ijimpeng.2017.10.006_bib0059) 2009; 46 Fleck (10.1016/j.ijimpeng.2017.10.006_bib0251) 2004; 71 Toda (10.1016/j.ijimpeng.2017.10.006_bib0187) 2006; 37 Zhang (10.1016/j.ijimpeng.2017.10.006_bib0197) 1989; 8 Bouix (10.1016/j.ijimpeng.2017.10.006_bib0029) 2009; 36 Qin (10.1016/j.ijimpeng.2017.10.006_bib0277) 2009; 88 Sun (10.1016/j.ijimpeng.2017.10.006_bib0244) 2013; 96 Tan (10.1016/j.ijimpeng.2017.10.006_bib0208) 2005; 72 Hadjesfandiari (10.1016/j.ijimpeng.2017.10.006_bib0264) 2011; 48 Reid (10.1016/j.ijimpeng.2017.10.006_bib0151) 1983; 1 Li (10.1016/j.ijimpeng.2017.10.006_bib0170) 2016; 110 McDonald (10.1016/j.ijimpeng.2017.10.006_bib0173) 2006; 223 Li (10.1016/j.ijimpeng.2017.10.006_bib0167) 2006; 32 Ding (10.1016/j.ijimpeng.2017.10.006_bib0156) 2016; 100 Karnes (10.1016/j.ijimpeng.2017.10.006_bib0179) 1966; 14 Li (10.1016/j.ijimpeng.2017.10.006_bib0100) 2006; 42 Tan (10.1016/j.ijimpeng.2017.10.006_bib0101) 2002; 18 Onck (10.1016/j.ijimpeng.2017.10.006_bib0091) 2001; 43 Chung (10.1016/j.ijimpeng.2017.10.006_bib0290) 2002; 27 Rabiei (10.1016/j.ijimpeng.2017.10.006_bib0057) 2009; 63 Gaitanaros (10.1016/j.ijimpeng.2017.10.006_bib0158) 2014; 51 Zhao (10.1016/j.ijimpeng.2017.10.006_bib0065) 2005; 47 Zhang (10.1016/j.ijimpeng.2017.10.006_bib0122) 1998; 21 Zhou (10.1016/j.ijimpeng.2017.10.006_bib0259) 2013; 139 Sun (10.1016/j.ijimpeng.2017.10.006_bib0021) 2017; 688 Gibson (10.1016/j.ijimpeng.2017.10.006_bib0027) 1981 Zheng (10.1016/j.ijimpeng.2017.10.006_bib0087) 2016; 15 Chen (10.1016/j.ijimpeng.2017.10.006_bib0239) 2017; 159 Karagiozova (10.1016/j.ijimpeng.2017.10.006_bib0262) 2015; 12 Su (10.1016/j.ijimpeng.2017.10.006_bib0196) 1995; 16 Barnes (10.1016/j.ijimpeng.2017.10.006_bib0069) 2014; 51 Gibson (10.1016/j.ijimpeng.2017.10.006_bib0267) 1989; 31 Kumar (10.1016/j.ijimpeng.2017.10.006_bib0265) 2004; 41 Lu (10.1016/j.ijimpeng.2017.10.006_bib0250) 2003 Ramachandra (10.1016/j.ijimpeng.2017.10.006_bib0132) 2003; 49 Hallquist (10.1016/j.ijimpeng.2017.10.006_bib0276) 2005 Wang (10.1016/j.ijimpeng.2017.10.006_bib0114) 2015; 620 Radford (10.1016/j.ijimpeng.2017.10.006_bib0147) 2005; 31 Tan (10.1016/j.ijimpeng.2017.10.006_bib0054) 2005; 53 Stronge (10.1016/j.ijimpeng.2017.10.006_bib0222) 1988; 110 Lefebvre (10.1016/j.ijimpeng.2017.10.006_bib0008) 2008; 10 Sun (10.1016/j.ijimpeng.2017.10.006_bib0096) 2016; 110 Davison (10.1016/j.ijimpeng.2017.10.006_bib0155) 2008 Liao (10.1016/j.ijimpeng.2017.10.006_bib0023) 2014; 51 Wang (10.1016/j.ijimpeng.2017.10.006_bib0053) 2017; 14 Zhang (10.1016/j.ijimpeng.2017.10.006_bib0284) 2015; 99 Li (10.1016/j.ijimpeng.2017.10.006_bib0094) 2000; 37 Hu (10.1016/j.ijimpeng.2017.10.006_bib0163) 2013; 50 Li (10.1016/j.ijimpeng.2017.10.006_bib0043) 2007; 44 Wang (10.1016/j.ijimpeng.2017.10.006_bib0225) 2010; 53 Zhou (10.1016/j.ijimpeng.2017.10.006_bib0274) 2012; 543 Compton (10.1016/j.ijimpeng.2017.10.006_bib0296) 2014; 26 Hu (10.1016/j.ijimpeng.2017.10.006_bib0229) 2014; 53 Nagy (10.1016/j.ijimpeng.2017.10.006_bib0121) 1974; 10 Zheng (10.1016/j.ijimpeng.2017.10.006_bib0149) 2014; 72 Wang (10.1016/j.ijimpeng.2017.10.006_bib0104) 2011; 528 Wang (10.1016/j.ijimpeng.2017.10.006_bib0109) 2013; 62 Hu (10.1016/j.ijimpeng.2017.10.006_bib0230) 2010; 37 Duarte (10.1016/j.ijimpeng.2017.10.006_bib0120) 2014; 616 Fleck (10.1016/j.ijimpeng.2017.10.006_bib0209) 2005; 72 Gibson (10.1016/j.ijimpeng.2017.10.006_bib0001) 1997 Lopatnikov (10.1016/j.ijimpeng.2017.10.006_bib0148) 2003; 61 Edwin Raj (10.1016/j.ijimpeng.2017.10.006_bib0211) 2009; 526 Toda (10.1016/j.ijimpeng.2017.10.006_bib0166) 2006; 8 Qin (10.1016/j.ijimpeng.2017.10.006_bib0279) 2009; 28 Banhart (10.1016/j.ijimpeng.2017.10.006_bib0004) 2001; 46 Brydon (10.1016/j.ijimpeng.2017.10.006_bib0237) 2005; 53 10.1016/j.ijimpeng.2017.10.006_bib0176 Chen (10.1016/j.ijimpeng.2017.10.006_bib0164) 1989; 8 Rajendran (10.1016/j.ijimpeng.2017.10.006_bib0116) 2009; 30 Peroni (10.1016/j.ijimpeng.2017.10.006_bib0111) 2013; 53 Roberts (10.1016/j.ijimpeng.2017.10.006_bib0227) 2001; 49 Wang (10.1016/j.ijimpeng.2017.10.006_bib0071) 2013 König (10.1016/j.ijimpeng.2017.10.006_bib0017) 2000 Elnasri (10.1016/j.ijimpeng.2017.10.006_bib0013) 2007; 55 Merrett (10.1016/j.ijimpeng.2017.10.006_bib0126) 2013; 44 Karagiozova (10.1016/j.ijimpeng.2017.10.006_bib0255) 2013; 62 Jang (10.1016/j.ijimpeng.2017.10.006_bib0207) 2009; 46 Markaki (10.1016/j.ijimpeng.2017.10.006_bib0185) 2001; 49 Ashby (10.1016/j.ijimpeng.2017.10.006_bib0003) 2000 Mukai (10.1016/j.ijimpeng.2017.10.006_bib0141) 2006; 54 Sun (10.1016/j.ijimpeng.2017.10.006_bib0242) 2015 Öchsner (10.1016/j.ijimpeng.2017.10.006_bib0213) 2009; 45 Koohbor (10.1016/j.ijimpeng.2017.10.006_bib0118) 2016; 91 Qiu (10.1016/j.ijimpeng.2017.10.006_bib0081) 2009; 36 Lopatnikov (10.1016/j.ijimpeng.2017.10.006_bib0254) 2004; 30 Vesenjak (10.1016/j.ijimpeng.2017.10.006_bib0190) 2012; 541 Sadot (10.1016/j.ijimpeng.2017.10.006_bib0218) 2016; 659 Tan (10.1016/j.ijimpeng.2017.10.006_bib0055) 2005; 53 Hou (10.1016/j.ijimpeng.2017.10.006_bib0048) 2012; 49 Maire (10.1016/j.ijimpeng.2017.10.006_bib0234) 2012; 42 Hou (10.1016/j.ijimpeng.2017.10.006_bib0291) 2011; 48 Hönig (10.1016/j.ijimpeng.2017.10.006_bib0194) 2000; 24 Sun (10.1016/j.ijimpeng.2017.10.006_bib0034) 2015; 63 Ma (10.1016/j.ijimpeng.2017.10.006_bib0257) 2007; 34 Cheung (10.1016/j.ijimpeng.2017.10.006_bib0297) 2013; 341 Flores-Johnson (10.1016/j.ijimpeng.2017.10.006_bib0102) 2010; 47 Reid (10.1016/j.ijimpeng.2017.10.006_bib0153) 1997; 19 Li (10.1016/j.ijimpeng.2017.10.006_bib0105) 2014; 68 Sun (10.1016/j.ijimpeng.2017.10.006_bib0025) 2016; 99 Sun (10.1016/j.ijimpeng.2017.10.006_bib0026) 2016; 89 Yu (10.1016/j.ijimpeng.2017.10.006_bib0028) 2006; 38 Dou (10.1016/j.ijimpeng.2017.10.006_bib0135) 2007; 57 Abrate (10.1016/j.ijimpeng.2017.10.006_bib0268) 2008; 10 Neville (10.1016/j.ijimpeng.2017.10.006_bib0056) 2008; 29 Peroni (10.1016/j.ijimpeng.2017.10.006_bib0134) 2008; 35 Khan (10.1016/j.ijimpeng.2017.10.006_bib0180) 1992; 8 Shim (10.1016/j.ijimpeng.2017.10.006_bib0223) 1990; 112 Ousji (10.1016/j.ijimpeng.2017.10.006_bib0252) 2017; 128 Qin (10.1016/j.ijimpeng.2017.10.006_bib0278) 2009; 51 Bastawros (10.1016/j.ijimpeng.2017.10.006_bib0018) 2000; 48 Karagiozova (10.1016/j.ijimpeng.2017.10.006_bib0260) 2010; 52 Gaitanaros (10.1016/j.ijimpeng.2017.10.006_bib0159) 2015; 82 Montanini (10.1016/j.ijimpeng.2017.10.006_bib0115) 2005; 47 Dannemann (10.1016/j.ijimpeng.2017.10.006_bib0143) 2000; 293 Hou (10.1016/j.ijimpeng.2017.10.006_bib0292) 2011; 48 Da Silva (10.1016/j.ijimpeng.2017.10.006_bib0204) 2007; 44 Ajdari (10.1016/j.ijimpeng.2017.10.006_bib0085) 2012; 49 Qiu (10.1016/j.ijimpeng.2017.10.006_bib0080) 2009; 36 Zhang (10.1016/j.ijimpeng.2017.10.006_bib0283) 2016; 96 Wang (10.1016/j.ijimpeng.2017.10.006_bib0117) 2011; 47 Ma (10.1016/j.ijimpeng.2017.10.006_bib0186) 2010; 43 Su (10.1016/j.ijimpeng.2017.10.006_bib0195) 1995; 16 Ryan (10.1016/j.ijimpeng.2017.10.006_bib0009) 2013; 83 Idris (10.1016/j.ijimpeng.2017.10.006_bib0103) 2009; 517 Zhou (10.1016/j.ijimpeng.2017.10.006_bib0076) 2012; 2 Daxner (10.1016/j.ijimpeng.2017.10.006_bib0232) 2010; 521 Ma (10.1016/j.ijimpeng.2017.10.006_bib0256) 2007; 34 Wu (10.1016/j.ijimpeng.2017.10.006_bib0047) 1997; 19 Zhou (10.1016/j.ijimpeng.2017.10.006_bib0184) 2005; 40 10.1016/j.i |
References_xml | – volume: 39 start-page: 1 year: 2012 end-page: 7 ident: bib0161 article-title: Impact response of high density flexible polyurethane foam publication-title: Int J Impact Eng – volume: 225 start-page: 1361 year: 2014 end-page: 1372 ident: bib0035 article-title: Effects of statistics of cell's size and shape irregularity on mechanical properties of 2D and 3D Voronoi foams publication-title: Acta Mech – volume: 53 start-page: 2174 year: 2005 end-page: 2205 ident: bib0054 article-title: Dynamic compressive strength properties of aluminium foams. Part I—experimental data and observations publication-title: J Mech Phys Solids – year: 1994 ident: bib0162 article-title: Dynamic behavior of materials – volume: 21 start-page: 369 year: 1998 end-page: 386 ident: bib0122 article-title: Constitutive modeling of polymeric foam material subjected to dynamic crash loading publication-title: Int J Impact Eng – volume: 25 start-page: 1231 year: 2009 end-page: 1252 ident: bib0214 article-title: Effect of inner gas pressure on the elastoplastic behavior of porous materials: a second-order moment micromechanics model publication-title: Int J Plast – volume: 49 start-page: 741 year: 2003 end-page: 745 ident: bib0132 article-title: Impact energy absorption in an Al foam at low velocities publication-title: Scr Mater – volume: 26 start-page: 837 year: 2010 end-page: 846 ident: bib0110 article-title: On the behaviour characterization of metallic cellular materials under impact loading publication-title: Acta Mech Sin – volume: 46 start-page: 3109 year: 1998 end-page: 3123 ident: bib0012 article-title: Aluminum foams produced by liquid-state processes publication-title: Acta Mater – volume: 659 start-page: 278 year: 2016 end-page: 286 ident: bib0218 article-title: The trapped gas effect on the dynamic compressive strength of light aluminum foams publication-title: Mater Sci Eng – volume: 46 start-page: 187 year: 2016 end-page: 210 ident: bib0079 article-title: Architected cellular materials publication-title: Annu Rev Mater Res – volume: 12 start-page: 905 year: 2015 end-page: 924 ident: bib0262 article-title: Primary and reflected compaction waves in a foam rod due to an axial impact by a small mass publication-title: Lat Am J Solids Struct – volume: 84 start-page: 351 year: 2015 end-page: 358 ident: bib0294 article-title: Energy absorption of graded foam subjected to blast: a theoretical approach publication-title: Mater Des – volume: 618 start-page: 496 year: 2014 end-page: 499 ident: bib0082 article-title: Preparation of density-graded aluminum foam publication-title: Mater Sci Eng – volume: 96 start-page: 346 year: 2013 end-page: 356 ident: bib0287 article-title: Low-velocity impact response of fully clamped metal foam core sandwich beam incorporating local denting effect publication-title: Compos Struct – volume: 43 start-page: 763 year: 2010 end-page: 776 ident: bib0186 article-title: Modeling strain rate effect of heterogeneous materials using SPH method publication-title: Rock Mech Rock Eng – volume: 43 start-page: 515 year: 2000 end-page: 521 ident: bib0136 article-title: Crushing of aluminum closed cell foams: density and strain rate effects publication-title: Scr Mater – volume: 2 start-page: 53 year: 2012 end-page: 76 ident: bib0076 article-title: Protection against blast load with cellular materials and structures publication-title: Int J Aerosp Lightweight Struct – year: 2011 ident: bib0177 article-title: Structural impact – volume: 48 start-page: 803 year: 2011 end-page: 816 ident: bib0202 article-title: Buckling and progressive crushing of laterally loaded honeycomb publication-title: Int J Solids Struct – volume: 631 start-page: 248 year: 2015 end-page: 257 ident: bib0221 article-title: High strain rate behavior of composite metal foams publication-title: Mater Sci Eng – volume: 51 start-page: 2424 year: 2014 end-page: 2438 ident: bib0261 article-title: Compaction of a double-layered metal foam block impacting a rigid wall publication-title: Int J Solids Struct – volume: 525 start-page: 1 year: 2009 end-page: 6 ident: bib0142 article-title: Compressive properties of a closed-cell aluminum foam as a function of strain rate and temperature publication-title: Mater Sci Eng – volume: 19 start-page: 1195 year: 2003 end-page: 1214 ident: bib0271 article-title: Experimental studies on the yield behavior of ductile and brittle aluminum foams publication-title: Int J Plast – volume: 8 start-page: 343 year: 1989 end-page: 369 ident: bib0164 article-title: Dynamic wave dispersion and loss properties of conventional and negative Poisson's ratio polymeric cellular materials publication-title: Cell Polym – volume: 53 start-page: 293 year: 2014 end-page: 301 ident: bib0229 article-title: Analyses on the dynamic strength of honeycombs under the y-directional crushing publication-title: Mater Des – volume: 27 start-page: 729 year: 2002 end-page: 754 ident: bib0289 article-title: Compressive response of circular cell polycarbonate honeycombs under inplane biaxial static and dynamic loading. Part I: experiments publication-title: Int J Impact Eng – volume: 1 start-page: 175 year: 1983 end-page: 191 ident: bib0152 article-title: Structural plastic shock model for one-dimensional ring systems publication-title: Int J Impact Eng – volume: 53 start-page: 2206 year: 2005 end-page: 2230 ident: bib0055 article-title: Dynamic compressive strength properties of aluminium foams. Part II—‘shock’ theory and comparison with experimental data and numerical models publication-title: J Mech Phys Solids – volume: 50 year: 2013 ident: bib0266 article-title: Dispersive waves in microstructured solids publication-title: Int J Solids Struct – volume: 88 start-page: 509 year: 2009 end-page: 518 ident: bib0277 article-title: An analytical solution for the large deflections of a slender sandwich beam with a metallic foam core under transverse loading by a flat punch publication-title: Compos Struct – volume: 38 start-page: 160 year: 2006 end-page: 170 ident: bib0028 article-title: Strain-rate effect and micro-structural optimization of cellular metals publication-title: Mech Mater – volume: 10 start-page: 127 year: 1974 end-page: 134 ident: bib0121 article-title: Mechanical behavior of foamed materials under dynamic compression publication-title: J Cell Plast – volume: 89 start-page: 215 year: 2016 end-page: 224 ident: bib0026 article-title: Investigation of strain-rate effect on the compressive behaviour of closed-cell aluminium foam by 3D image-based modelling publication-title: Mater Des – volume: 323 start-page: 358 year: 2002 end-page: 366 ident: bib0128 article-title: Strain rate sensitivity and defects in steel foam publication-title: Mater Sci Eng – volume: 44 start-page: 1665 year: 2002 end-page: 1696 ident: bib0174 article-title: In-plane dynamic crushing of honeycomb. Part I: crush band initiation and wave trapping publication-title: Int J Mech Sci – volume: 31 start-page: 4281 year: 2010 end-page: 4289 ident: bib0245 article-title: Dynamic crushing behavior of 3D closed-cell foams based on Voronoi random model publication-title: Mater Des – volume: 47 start-page: 1 year: 2012 end-page: 13 ident: bib0138 article-title: Strength enhancement of aluminium honeycombs caused by entrapped air under dynamic out-of-plane compression publication-title: Int J Impact Eng – volume: 32 start-page: 1898 year: 2006 end-page: 1906 ident: bib0167 article-title: About one-dimensional shock propagation in a cellular material publication-title: Int J Impact Eng – volume: 48 start-page: 2496 year: 2011 end-page: 2510 ident: bib0264 article-title: Couple stress theory for solids publication-title: Int J Solids Struct – volume: 32 start-page: 1138 year: 1992 end-page: 1146 ident: bib0123 article-title: Constitutive modeling and simulation of energy absorbing polyurethane foam under impact loading publication-title: Polym Eng Sci – volume: 44 start-page: 5003 year: 2007 end-page: 5026 ident: bib0043 article-title: Dynamic crushing behavior of honeycomb structures with irregular cell shapes and non-uniform cell wall thickness publication-title: Int J Solids Struct – volume: 82 start-page: 59 year: 2015 end-page: 73 ident: bib0249 article-title: A transport approach for analysis of shock waves in cellular materials publication-title: Int J Impact Eng – volume: 94 start-page: 2262 year: 2003 end-page: 2270 ident: bib0203 article-title: Nucleation and propagation of plastic collapse bands in aluminum honeycomb publication-title: J Appl Phys – start-page: 727 year: 2010 end-page: 732 ident: bib0140 article-title: High rate compressive behavior of aluminum foams by modified SHPB technique publication-title: 21st Australasian conference on the mechanics of structures and materials, (ACMSM21)-incorporating sustainable practice in mechanics of structures and materials – volume: 139 start-page: 1362 year: 2013 end-page: 1371 ident: bib0259 article-title: Mitigating ground shocks with cellular solids publication-title: J Eng Mech – volume: 109 start-page: 321 year: 2017 end-page: 334 ident: bib0052 article-title: Meso-scale mechanism of compaction shock propagation in cellular materials publication-title: Int J Impact Eng – volume: 99 start-page: 111 year: 2017 end-page: 121 ident: bib0157 article-title: Dynamic material parameters of closed-cell foams under high-velocity impact publication-title: Int J Impact Eng – reference: Simulia, ABAQUS analysis user's manual, ABAQUS v6.12 Documentation, (Dassault Systémes, V6.12). – volume: 82 start-page: 103 year: 2015 end-page: 112 ident: bib0220 article-title: A 3D mesoscopic model for the closed-cell metallic foams subjected to static and dynamic loadings publication-title: Int J Impact Eng – volume: 528 start-page: 4550 year: 2011 end-page: 4555 ident: bib0238 article-title: Finite element analysis of the mechanical properties of cellular aluminium based on micro-computed tomography publication-title: Mater Sci Eng – volume: 153 start-page: 614 year: 2016 end-page: 623 ident: bib0285 article-title: Dynamic response of slender multilayer sandwich beams with metal foam cores subjected to low-velocity impact publication-title: Compos Struct – volume: 59 start-page: 1 year: 2014 end-page: 43 ident: bib0189 article-title: Quantitative X-ray tomography publication-title: Int Mater Rev – volume: 34 start-page: 329 year: 2007 end-page: 347 ident: bib0257 article-title: Energy absorption of double-layer foam cladding for blast alleviation publication-title: Int J Impact Eng – volume: 26 start-page: 689 year: 1984 end-page: 701 ident: bib0058 article-title: Strain-rate and inertia effects in the collapse of two types of energy-absorbing structure publication-title: Int J Mech Sci – volume: 47 start-page: 173 year: 2011 end-page: 182 ident: bib0117 article-title: A new method combining lagrangian analysis with Hopkinson pressure bar technique publication-title: Strain – volume: 56 start-page: 5524 year: 2008 end-page: 5534 ident: bib0235 article-title: Modeling the properties of closed-cell cellular materials from tomography images using finite shell elements publication-title: Acta Mater – year: 2010 ident: bib0007 article-title: Cellular materials in nature and medicine – volume: 57 start-page: 7 year: 2013 end-page: 16 ident: bib0022 article-title: Dynamic crushing of 2D cellular structures: local strain field and shock wave velocity publication-title: Int J Impact Eng – volume: 47 start-page: 757 year: 2005 end-page: 774 ident: bib0065 article-title: An experimental study on the behaviour under impact loading of metallic cellular materials publication-title: Int J Mech Sci – volume: 83 start-page: 180 year: 2008 end-page: 188 ident: bib0016 article-title: Measuring the cell wall mechanical properties of Al-alloy foams using the nanoindentation method publication-title: Compos Struct – volume: 52 start-page: 1290 year: 2010 end-page: 1298 ident: bib0044 article-title: Effects of defects on the in-plane dynamic crushing of metal honeycombs publication-title: Int J Mech Sci – volume: 18 start-page: 480 year: 2002 end-page: 488 ident: bib0101 article-title: Inertia effects in uniaxial dynamic compression of a closed cell aluminium alloy foam publication-title: Mater Sci Technol – volume: 44 start-page: 1880 year: 2013 end-page: 1886 ident: bib0241 article-title: Deformation behavior estimation of aluminum foam by X-ray CT image-based finite element analysis publication-title: Metall Mater Trans A – volume: 40 start-page: 2147 year: 2003 end-page: 2170 ident: bib0092 article-title: Dynamic response and energy dissipation characteristics of balsa wood: experiment and analysis publication-title: Int J Solids Struct – volume: 53 start-page: 2638 year: 2005 end-page: 2660 ident: bib0237 article-title: Simulation of the densification of real open-celled foam microstructures publication-title: J Mech Phys Solids – volume: 223 start-page: 150 year: 2006 end-page: 158 ident: bib0173 article-title: Characterization of the three-dimensional structure of a metallic foam during compressive deformation publication-title: J Microsc – volume: 112 start-page: 398 year: 1990 end-page: 405 ident: bib0223 article-title: Dynamic crushing of strain-softening cellular structures—a one-dimensional analysis publication-title: J Eng Mater Technol – volume: 30 start-page: 167 year: 2004 end-page: 192 ident: bib0051 article-title: Dynamic buckling of elastic–plastic square tubes under axial impact—II: structural response publication-title: Int J Impact Eng – volume: 26 start-page: 5930 year: 2014 end-page: 5935 ident: bib0296 article-title: 3D-printing of lightweight cellular composites publication-title: Adv Mater – volume: 27 start-page: 1049 year: 2002 end-page: 1065 ident: bib0073 article-title: Attenuation or enhancement - A one-dimensional analysis on shock transmission in the solid phase of a cellular material publication-title: Int J Impact Eng – volume: 96 start-page: 298 year: 2013 end-page: 311 ident: bib0288 article-title: Experimental and numerical study on the low-velocity impact behavior of foam-core sandwich panels publication-title: Compos Struct – volume: 101 start-page: 990 year: 2015 end-page: 1005 ident: bib0002 article-title: Properties and applications of foamed concrete; a review publication-title: Constr Build Mater – volume: 55 start-page: 2652 year: 2007 end-page: 2671 ident: bib0013 article-title: Shock enhancement of cellular structures under impact loading: part I experiments publication-title: J Mech Phys Solids – volume: 51 start-page: 4823 year: 2003 end-page: 4836 ident: bib0212 article-title: Application of mean-field approximation to elastic-plastic behavior for closed-cell metal foams publication-title: Acta Mater – volume: 96 start-page: 78 year: 2016 end-page: 88 ident: bib0165 article-title: Modelling and characterization of cell collapse in aluminium foams during dynamic loading publication-title: Int J Impact Eng – volume: 38 start-page: 132 year: 2002 end-page: 140 ident: bib0093 article-title: Strain measures for rigid crushable foam in uniaxial compression publication-title: Strain – volume: 67 start-page: 1218 year: 2007 end-page: 1234 ident: bib0014 article-title: Triaxial compression of aluminium foams publication-title: Compos Sci Technol – volume: 37 start-page: 6321 year: 2000 end-page: 6341 ident: bib0094 article-title: The crush behaviour of Rohacell-51WF structural foam publication-title: Int J Solids Struct – volume: 52 start-page: 869 year: 2004 end-page: 876 ident: bib0119 article-title: Variability in mechanical properties of a metal foam publication-title: Acta Mater – volume: 49 start-page: 189 year: 2001 end-page: 197 ident: bib0227 article-title: Elastic moduli of model random three-dimensional closed-cell cellular solids publication-title: Acta Mater – volume: 85 start-page: 93 year: 2016 end-page: 101 ident: bib0293 article-title: High velocity impact mitigation with gradient cellular solids publication-title: Compos Part B – volume: 57 start-page: 331 year: 2002 end-page: 336 ident: bib0247 article-title: Compressive behaviour of aluminium foams at low and medium strain rates publication-title: Compos Struct – start-page: 229 year: 2000 end-page: 238 ident: bib0017 article-title: AlVis - an aluminium-foam visualization and investigation tool publication-title: Data visualization 2000: proceedings of the joint EUROGRAPHICS and IEEE TCVG symposium on visualization in Amsterdam, The Netherlands – year: 2008 ident: bib0155 article-title: Fundamentals of shock wave propagation in solids – volume: 37 start-page: 918 year: 2010 end-page: 927 ident: bib0171 article-title: The correct analysis of shocks in a cellular material publication-title: Int J Impact Eng – volume: 44 start-page: 8685 year: 2007 end-page: 8717 ident: bib0204 article-title: Compressive response and failure of balsa wood publication-title: Int J Solids Struct – volume: 42 start-page: 729 year: 2000 end-page: 754 ident: bib0273 article-title: A continuum plasticity model for the constitutive and indentation behaviour of foamed metals publication-title: Int J Mech Sci – volume: 31 start-page: 1152 year: 2005 end-page: 1171 ident: bib0147 article-title: The use of metal foam projectiles to simulate shock loading on a structure publication-title: Int J Impact Eng – volume: 91 start-page: 170 year: 2016 end-page: 182 ident: bib0118 article-title: Investigation of the dynamic stress–strain response of compressible polymeric foam using a non-parametric analysis publication-title: Int J Impact Eng – volume: 31 start-page: 635 year: 1989 end-page: 663 ident: bib0267 article-title: Failure surfaces for cellular materials under multiaxial loads—I. Modelling publication-title: Int J Mech Sci – volume: 48 start-page: 1253 year: 2000 end-page: 1283 ident: bib0060 article-title: Isotropic constitutive models for metallic foams publication-title: J Mech Phys Solids – year: 2006 ident: bib0219 article-title: Numerical simulation of the dynamic compression of a 6061-T6 aluminum metallic foam publication-title: 7th World conference on computational mechanics – volume: 91 start-page: 64 year: 2015 end-page: 70 ident: bib0258 article-title: Air-blast response of cellular material with a face plate: an analytical–numerical approach publication-title: Int J Mech Sci – volume: 43 start-page: 701 year: 2001 end-page: 713 ident: bib0090 article-title: Size effects in ductile cellular solids. Part II: experimental results publication-title: Int J Mech Sci – volume: 43 start-page: 681 year: 2001 end-page: 699 ident: bib0091 article-title: Size effects in ductile cellular solids. Part I: modeling publication-title: Int J Mech Sci – volume: 41 start-page: 60 year: 2009 end-page: 73 ident: bib0193 article-title: Cell wall mechanical properties of closed-cell Al foam publication-title: Mech Mater – volume: 100 start-page: 219 year: 2016 end-page: 231 ident: bib0156 article-title: Dynamic crushing of cellular materials: a unique dynamic stress–strain state curve publication-title: Mech Mater – volume: 49 start-page: 1413 year: 2012 end-page: 1419 ident: bib0085 article-title: Hierarchical honeycombs with tailorable properties publication-title: Int J Solids Struct – volume: 616 start-page: 171 year: 2014 end-page: 182 ident: bib0120 article-title: Variation of quasi-static and dynamic compressive properties in a single aluminium foam block publication-title: Mater Sci Eng – volume: 42 start-page: 1097 year: 2000 end-page: 1117 ident: bib0062 article-title: Failure of aluminum foams under multiaxial loads publication-title: Int J Mech Sci – volume: 68 start-page: 85 year: 2014 end-page: 94 ident: bib0105 article-title: On crushing response of the three-dimensional closed-cell foam based on Voronoi model publication-title: Mech Mater – volume: 47 start-page: 26 year: 2005 end-page: 42 ident: bib0115 article-title: Measurement of strain rate sensitivity of aluminium foams for energy dissipation publication-title: Int J Mech Sci – reference: H.J. Frost, M.F. Ashby, Deformation mechanism maps: the plasticity and creep of metals and ceramics, (1982). – volume: 8 start-page: 469 year: 1966 end-page: 478 ident: bib0061 article-title: The plastic behavior of cellular materials publication-title: Int J Mech Sci – volume: 110 start-page: 185 year: 1988 end-page: 190 ident: bib0222 article-title: Microdynamics of crushing in cellular solids publication-title: J Eng Mater Technol – volume: 63 start-page: 50 year: 2015 end-page: 67 ident: bib0034 article-title: Effect of entrapped gas on the dynamic compressive behaviour of cellular solids publication-title: Int J Solids Struct – volume: 63 start-page: 533 year: 2009 end-page: 536 ident: bib0057 article-title: A comparison of composite metal foam's properties and other comparable metal foams publication-title: Mater Lett – volume: 46 start-page: 559 year: 2001 end-page: 632 ident: bib0004 article-title: Manufacture, characterisation and application of cellular metals and metal foams publication-title: Prog Mater Sci – volume: 526 start-page: 11 year: 2009 end-page: 15 ident: bib0211 article-title: Comparison of quasi-static and dynamic compression behavior of closed-cell aluminum foam publication-title: Mater Sci Eng – volume: 53 start-page: 74 year: 2013 end-page: 83 ident: bib0111 article-title: Impact behaviour testing of aluminium foam publication-title: Int J Impact Eng – volume: 74 start-page: 120 year: 2014 end-page: 125 ident: bib0108 article-title: Strength enhancement of aluminium foams and honeycombs by entrapped air under dynamic loadings publication-title: Int J Impact Eng – volume: 32 start-page: 650 year: 2005 end-page: 664 ident: bib0067 article-title: Dynamic crushing of 2D cellular structures: a finite element study publication-title: Int J Impact Eng – volume: 72 start-page: 980 year: 2005 ident: bib0209 article-title: Closure to “discussion of ‘the resistance of clamped sandwich beams to shock loading publication-title: J Appl Mech – volume: 128 start-page: 459 year: 2017 end-page: 474 ident: bib0252 article-title: Air-blast response of sacrificial cladding using low density foams: experimental and analytical approach publication-title: Int J Mech Sci – volume: 454–455 start-page: 542 year: 2007 end-page: 546 ident: bib0030 article-title: Research into the effect of cell diameter of aluminum foam on its compressive and energy absorption properties publication-title: Mater Sci Eng – volume: 598 start-page: 190 year: 2014 end-page: 196 ident: bib0231 article-title: Undulation of the honeycombs׳ plateau stress under impact and the dynamic enhancement—Theoretical analysis publication-title: Mater Sci Eng – volume: 67 start-page: 818 year: 2010 end-page: 825 ident: bib0010 article-title: Honeycomb vs. foam: evaluating potential upgrades to ISS module shielding publication-title: Acta Astronaut – volume: 81 start-page: 1661 year: 1998 end-page: 1664 ident: bib0084 article-title: Tailored porosity gradients via colloidal infiltration of compression-molded sponges publication-title: J Am Ceram Soc – volume: 57 start-page: 945 year: 2007 end-page: 948 ident: bib0135 article-title: High strain rate compression of cenosphere-pure aluminum syntactic foams publication-title: Scr Mater – volume: 688 start-page: 27 year: 2017 end-page: 39 ident: bib0021 article-title: Image-based correlation between the meso-scale structure and deformation of closed-cell foam publication-title: Mater Sci Eng – volume: 119 start-page: 284 year: 1997 ident: bib0272 article-title: Constitutive modeling and material characterization of polymeric foams publication-title: J Eng Mater Technol – volume: 36 start-page: 165 year: 2009 end-page: 176 ident: bib0020 article-title: Dynamic crushing of honeycombs and features of shock fronts publication-title: Int J Impact Eng – volume: 36 start-page: 645 year: 2005 end-page: 650 ident: bib0144 article-title: The strain rate effect of an open cell aluminum foam publication-title: Metall Mater Trans A – volume: 108 start-page: 153 year: 2017 end-page: 170 ident: bib0049 article-title: On the dynamic compression of cellular materials with local structural softening publication-title: Int J Impact Eng – volume: 61 start-page: 61 year: 2003 end-page: 71 ident: bib0148 article-title: Dynamics of metal foam deformation during Taylor cylinder-Hopkinson bar impact experiment publication-title: Compo Struct – year: 2017 ident: bib0295 article-title: Overview of composite metal foams and their properties and performance publication-title: Adv Eng Mater – volume: 31 start-page: 665 year: 1989 end-page: 678 ident: bib0275 article-title: Failure surfaces for cellular materials under multiaxial loads—II. Comparison of models with experiment publication-title: Int J Mech Sci – volume: 110 start-page: 72 year: 2016 end-page: 79 ident: bib0170 article-title: A numerical study on deformation mode and strength enhancement of metal foam under dynamic loading publication-title: Mater Des – volume: 27 start-page: 1015 year: 2002 end-page: 1047 ident: bib0290 article-title: Compressive response of circular cell polycarbonate honeycombs under inplane biaxial static and dynamic loading—Part II: simulations publication-title: Int J Impact Eng – volume: 44 start-page: 415 year: 2008 end-page: 434 ident: bib0099 article-title: Degradation of elastic modulus of progressively crushable foams in uniaxial compression publication-title: J Cell Plast – volume: 72 start-page: 978 year: 2005 end-page: 979 ident: bib0208 article-title: Discussion: “the resistance of clamped sandwich beams to shock loading” publication-title: J Appl Mech – volume: 46 start-page: 635 year: 2009 end-page: 650 ident: bib0207 article-title: On the crushing of aluminum open-cell foams: part II analysis publication-title: Int J Solids Struct – volume: 8 start-page: 459 year: 2006 end-page: 467 ident: bib0166 article-title: 3-D image-based mechanical simulation of aluminium foams: effects of internal microstructure publication-title: Adv Eng Mater – volume: 14 start-page: 1251 year: 2017 end-page: 1272 ident: bib0053 article-title: Stress distribution in graded cellular materials under dynamic compression publication-title: Lat Am J Solids Struct – volume: 44 start-page: 311 year: 2013 end-page: 319 ident: bib0126 article-title: The blast and impact loading of aluminium foam publication-title: Mater Des – volume: 96 start-page: 726 year: 2013 end-page: 735 ident: bib0244 article-title: In-plane crushing and energy absorption performance of multi-layer regularly arranged circular honeycombs publication-title: Compos Struct – volume: 40 start-page: 921 year: 1999 end-page: 928 ident: bib0130 article-title: Experimental study of energy absorption in a close-celled aluminum foam under dynamic loading publication-title: Scr Mater – volume: 110 start-page: 161 year: 2016 end-page: 174 ident: bib0096 article-title: The variation in elastic modulus throughout the compression of foam materials publication-title: Acta Mater – volume: 71 start-page: 386 year: 2004 end-page: 401 ident: bib0251 article-title: The resistance of clamped sandwich beams to shock loading publication-title: J Appl Mech – volume: 19 start-page: 439 year: 1997 end-page: 456 ident: bib0047 article-title: Axial crush of metallic honeycombs publication-title: Int J Impact Eng – volume: 8 start-page: 43 year: 1989 end-page: 51 ident: bib0197 article-title: A note on a ‘velocity sensitive’ energy-absorbing structure publication-title: Int J Impact Eng – volume: 543 start-page: 193 year: 2012 end-page: 199 ident: bib0274 article-title: Loading rate effect on yield surface of aluminum alloy foams publication-title: Mater Sci Eng – volume: 29 start-page: 388 year: 2008 end-page: 396 ident: bib0056 article-title: Composite metal foams processed through powder metallurgy publication-title: Mater Des – volume: 36 start-page: 1223 year: 2009 end-page: 1230 ident: bib0080 article-title: Collapse of periodic planar lattices under uniaxial compression, part I: quasi-static strength predicted by limit analysis publication-title: Int J Impact Eng – volume: 62 start-page: 196 year: 2013 end-page: 209 ident: bib0255 article-title: Compaction of metal foam subjected to an impact by a low-density deformable projectile publication-title: Int J Impact Eng – volume: 46 start-page: 3988 year: 2009 end-page: 3998 ident: bib0059 article-title: A numerical study on the rate sensitivity of cellular metals publication-title: Int J Solids Struct – volume: 46 start-page: 1035 year: 2008 end-page: 1051 ident: bib0039 article-title: Mechanical response of cellular solids: role of cellular topology and microstructural irregularity publication-title: Int J Eng Sci – volume: 599 start-page: 174 year: 2014 end-page: 179 ident: bib0192 article-title: Temperature effects on the mechanical behavior of aluminum foam under dynamic loading publication-title: Mater Sci Eng – volume: 46 start-page: 2139 year: 1998 end-page: 2150 ident: bib0033 article-title: Effects of solid distribution on the stiffness and strength of metallic foams publication-title: Acta Mater – volume: 1 start-page: 85 year: 1983 end-page: 106 ident: bib0151 article-title: Experimental investigation of inertia effects in one-dimensional metal ring systems subjected to end impact — I. Fixed-ended systems publication-title: Int J Impact Eng – volume: 47 start-page: 2235 year: 1999 end-page: 2272 ident: bib0040 article-title: Effect of imperfections on the yielding of two-dimensional foams publication-title: J Mech Phys Solids – volume: 521 start-page: 47 year: 2010 end-page: 106 ident: bib0232 article-title: Finite element modeling of cellular materials publication-title: Cell Porous Mater Struct Processes – volume: 52 start-page: 758 year: 2010 end-page: 776 ident: bib0260 article-title: Blast attenuation in Cymat foam core sacrificial claddings publication-title: Int J Mech Sci – volume: 364 start-page: 15 year: 2006 end-page: 30 ident: bib0078 article-title: The properties of foams and lattices publication-title: Philos Trans R Soc London. Ser A – year: 1981 ident: bib0027 article-title: The elastic and plastic behaviour of cellular materials – volume: 476 start-page: 89 year: 2008 end-page: 97 ident: bib0095 article-title: Microstructure and properties of LZSA glass-ceramic foams publication-title: Mater Sci Eng – volume: 16 start-page: 61 year: 1999 end-page: 69 ident: bib0226 article-title: Mesoscopic simulation of inhomogeneous metallic foams with respect to energy absorption publication-title: Comput Mater Sci – volume: 45 start-page: 104 year: 2009 end-page: 112 ident: bib0213 article-title: Modelling of the multiaxial elasto-plastic behaviour of porous metals with internal gas pressure publication-title: Finite Elem Anal Des – volume: 93 start-page: 1526 year: 2011 end-page: 1537 ident: bib0280 article-title: Low-velocity heavy-mass impact response of slender metal foam core sandwich beam publication-title: Compos Struct – volume: 54 start-page: 533 year: 2006 end-page: 537 ident: bib0141 article-title: Compressive response of a closed-cell aluminum foam at high strain rate publication-title: Scr Mater – volume: 1 start-page: 213 year: 1991 end-page: 222 ident: bib0160 article-title: Shock-wave equation-of-state studies at Los Alamos publication-title: Shock Waves – volume: 34 start-page: 303 year: 2007 end-page: 328 ident: bib0199 article-title: Dynamic crushing of a one-dimensional chain of type II structures publication-title: Int J Impact Eng – volume: 293 start-page: 157 year: 2000 end-page: 164 ident: bib0143 article-title: High strain rate compression of closed-cell aluminium foams publication-title: Mater Sci Eng – volume: 8 start-page: 397 year: 1992 end-page: 424 ident: bib0180 article-title: Experimental and theoretical study of mechanical behavior of 1100 aluminum in the strain rate range 10−5−104s−1 publication-title: Int J Plasticity – volume: 49 start-page: 2763 year: 2012 end-page: 2777 ident: bib0172 article-title: Propagation of compaction waves in metal foams exhibiting strain hardening publication-title: Int J Solids Struct – volume: 53 start-page: 279 year: 2010 end-page: 287 ident: bib0225 article-title: A study on compressive shock wave propagation in metallic foams publication-title: Sci China Phys Mech Astron – volume: 29 start-page: 1732 year: 2008 end-page: 1739 ident: bib0286 article-title: Preliminary investigation of aluminium foam as an energy absorber for nuclear transportation cask publication-title: Mater Des – volume: 30 start-page: 2823 year: 2009 end-page: 2830 ident: bib0116 article-title: Numerical simulation of drop weight impact behaviour of closed cell aluminium foam publication-title: Mater Des – volume: 02 start-page: 489 year: 2010 end-page: 513 ident: bib0215 article-title: Deformation of closed-cell foams incorporating the effect of inner gas pressure publication-title: Int J Appl Mech – volume: 61 start-page: 2390 year: 2013 end-page: 2402 ident: bib0015 article-title: A relationship between the geometrical structure of a nanoporous metal foam and its modulus publication-title: Acta Mater – volume: 72 start-page: 93 year: 2014 end-page: 114 ident: bib0149 article-title: Dynamic stress-strain states for metal foams using a 3D cellular model publication-title: J Mech Phys Solids – volume: 37 start-page: 467 year: 2010 end-page: 474 ident: bib0230 article-title: Dynamic crushing strength of hexagonal honeycombs publication-title: Int J Impact Eng – volume: 55 start-page: 501 year: 2006 end-page: 504 ident: bib0181 article-title: Strain rate sensitivity and energy absorption of Zn–22Al foams publication-title: Scr Mater – volume: 48 start-page: 1962 year: 2011 end-page: 1990 ident: bib0263 article-title: Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results publication-title: Int J Solids Struct – volume: 35 start-page: 644 year: 2008 end-page: 658 ident: bib0134 article-title: The mechanical behaviour of aluminium foam structures in different loading conditions publication-title: Int J Impact Eng – volume: 47 start-page: 521 year: 2005 end-page: 544 ident: bib0154 article-title: High rate crushing of wood along the grain publication-title: Int J Mech Sci – volume: 36 start-page: 329 year: 2009 end-page: 342 ident: bib0029 article-title: Polypropylene foam behaviour under dynamic loadings: strain rate, density and microstructure effects publication-title: Int J Impact Eng – volume: 487 start-page: 558 year: 2008 end-page: 567 ident: bib0046 article-title: Effect of defects on elastic–plastic behavior of cellular materials publication-title: Mater Sci Eng – volume: 60 start-page: 3084 year: 2012 end-page: 3093 ident: bib0098 article-title: The elastic behavior of aluminum alloy foam under uniaxial loading and bending conditions publication-title: Acta Mater – volume: 92 start-page: 2339 year: 2010 end-page: 2344 ident: bib0146 article-title: An investigation on the dynamic response of polymeric, metallic, and biomaterial foams publication-title: Compos Struct – volume: 49 start-page: 1035 year: 2001 end-page: 1040 ident: bib0036 article-title: Foam topology: bending versus stretching dominated architectures publication-title: Acta Mater – volume: 53 start-page: 29 year: 2013 end-page: 43 ident: bib0106 article-title: Dynamic crushing of cellular materials: a unified framework of plastic shock wave models publication-title: Int J Impact Eng – volume: 46 start-page: 2765 year: 1998 end-page: 2776 ident: bib0201 article-title: Experiments and full-scale numerical simulations of in-plane crushing of a honeycomb publication-title: Acta Mater – volume: 56 start-page: 109 year: 2011 end-page: 138 ident: bib0089 article-title: Size effects in foams: experiments and modeling publication-title: Prog Mater Sci – year: 2007 ident: bib0150 article-title: Foundations of stress waves – year: 2017 ident: bib0188 article-title: Effects of cell-wall instability and local failure on the response of closed-cell polymeric foams subjected to dynamic loading publication-title: Mech Mater – volume: 270 start-page: 113 year: 1999 end-page: 124 ident: bib0168 article-title: Compressive and tensile behaviour of aluminum foams publication-title: Mater Sci Eng A – volume: 10 start-page: 157 year: 1952 end-page: 165 ident: bib0269 article-title: Soil mechanics and plastic analysis or limit design publication-title: Q Appl Math – volume: 36 start-page: 98 year: 2009 end-page: 109 ident: bib0038 article-title: The influence of cell micro-topology on the in-plane dynamic crushing of honeycombs publication-title: Int J Impact Eng – volume: 30 start-page: 143 year: 2004 end-page: 166 ident: bib0050 article-title: Dynamic buckling of elastic–plastic square tubes under axial impact—I: stress wave propagation phenomenon publication-title: Int J Impact Eng – volume: 53 start-page: 3415 year: 2005 end-page: 3423 ident: bib0041 article-title: The effect of structural defects on the compressive behavior of closed-cell Al foam publication-title: Acta Mater – volume: 15 start-page: 1100 year: 2016 end-page: 1106 ident: bib0087 article-title: Multiscale metallic metamaterials publication-title: Nat Mater – volume: 21 start-page: 827 year: 1998 end-page: 836 ident: bib0139 article-title: Crushing behaviour of aluminium honeycombs under impact loading publication-title: Int J Impact Eng – volume: 47 start-page: 417 year: 2001 end-page: 422 ident: bib0133 article-title: Strain rate effects on the compressive property and the energy-absorbing capacity of aluminum alloy foams publication-title: Mater Charact – volume: 31 start-page: 895 year: 2005 end-page: 910 ident: bib0198 article-title: A study on type II structures. Part I: a modified one-dimensional mass–spring model publication-title: Int J Impact Eng – volume: 41 start-page: 7399 year: 2004 end-page: 7422 ident: bib0265 article-title: Generalized continuum modeling of 2-D periodic cellular solids publication-title: Int J Solids Struct – volume: 562 start-page: 83 year: 2013 end-page: 88 ident: bib0243 article-title: On the mechanical properties of sintered metallic fibre structures publication-title: Mater Sci Eng – volume: 48 start-page: 687 year: 2011 end-page: 697 ident: bib0291 article-title: Impact behavior of honeycombs under combined shear-compression. Part I: experiments publication-title: Int J Solids Struct – volume: 49 start-page: 2754 year: 2012 end-page: 2762 ident: bib0048 article-title: Inertia effects on the progressive crushing of aluminium honeycombs under impact loading publication-title: Int J Solids Struct – volume: 51 start-page: 752 year: 2009 end-page: 773 ident: bib0278 article-title: Large deflections of metallic sandwich and monolithic beams under locally impulsive loading publication-title: Int J Mech Sci – volume: 99 start-page: 98 year: 2015 end-page: 111 ident: bib0284 article-title: A theoretical study of plastic analysis of fully clamped geometrical asymmetric sandwich beams with a metal foam core publication-title: Int J Mech Sci – volume: 50 start-page: 1353 year: 2011 end-page: 1358 ident: bib0125 article-title: Numerical and experimental studies of polyurethane foam under impact loading publication-title: Comput Mater Sci – volume: 44 start-page: 1697 year: 2002 end-page: 1714 ident: bib0175 article-title: In-plane dynamic crushing of honeycomb. Part II: application to impact publication-title: Int J Mech Sci – volume: 34 start-page: 60 year: 2007 end-page: 70 ident: bib0256 article-title: Analysis of foam claddings for blast alleviation publication-title: Int J Impact Eng – volume: 10 start-page: 5 year: 2008 end-page: 51 ident: bib0268 article-title: Criteria for yielding or failure of cellular materials publication-title: J Sandwich Struct Mater – volume: 3 start-page: 167 year: 1994 end-page: 179 ident: bib0074 article-title: Shock wave interaction with cellular materials Part II: open cell foams; experimental and numerical results publication-title: Shock Waves – volume: 50 start-page: 3152 year: 2013 end-page: 3165 ident: bib0163 article-title: Mechanical behavior of hexagonal honeycombs under low-velocity impact – theory and simulations publication-title: Int J Solids Struct – volume: 37 start-page: 1211 year: 2006 end-page: 1219 ident: bib0187 article-title: Quantitative assessment of microstructure and its effects on compression behavior of aluminum foams via high-resolution synchrotron X-ray tomography publication-title: Metall Mater Trans A – volume: 40 start-page: 429 year: 2005 end-page: 439 ident: bib0184 article-title: Microscale testing of the strut in open cell aluminum foams publication-title: J Mater Sci – volume: 42 start-page: 7502 year: 2007 end-page: 7507 ident: bib0088 article-title: Compressive mechanical response of a low-density epoxy foam at various strain rates publication-title: J Mater Sci – volume: 96 start-page: 35 year: 2016 end-page: 49 ident: bib0283 article-title: A theoretical study of low-velocity impact of geometrically asymmetric sandwich beams publication-title: Int J Impact Eng – volume: 30 start-page: 421 year: 2004 end-page: 445 ident: bib0254 article-title: High-velocity plate impact of metal foams publication-title: Int J Impact Eng – volume: 36 start-page: 1231 year: 2009 end-page: 1241 ident: bib0081 article-title: Collapse of periodic planar lattices under uniaxial compression, part II: dynamic crushing based on finite element simulation publication-title: Int J Impact Eng – volume: 24 start-page: 907 year: 2000 end-page: 923 ident: bib0194 article-title: Dynamic buckling of an imperfect elastic, visco-plastic plate publication-title: Int J Impact Eng – volume: 53 start-page: 597 year: 2005 end-page: 617 ident: bib0236 article-title: Insight into the physics of foam densification via numerical simulation publication-title: J Mech Phys Solids – volume: 27 start-page: 593 year: 2002 end-page: 618 ident: bib0072 article-title: Close-range blast loading of aluminium foam panels publication-title: Int J Impact Eng – volume: 46 start-page: 3583 year: 1998 end-page: 3592 ident: bib0031 article-title: Compressive deformation and yielding mechanisms in cellular Al alloys determined using X-ray tomography and surface strain mapping publication-title: Acta Mater – volume: 42 start-page: 163 year: 2012 end-page: 178 ident: bib0234 article-title: X-ray tomography applied to the characterization of highly porous materials publication-title: Annu Rev Mater Res – volume: 10 start-page: 775 year: 2008 end-page: 787 ident: bib0008 article-title: Porous metals and metallic foams: current status and recent developments publication-title: Adv Eng Mater – volume: 47 start-page: 1987 year: 2010 end-page: 1995 ident: bib0102 article-title: Indentation into polymeric foams publication-title: Int J Solids Struct – volume: 94 start-page: 66 year: 2016 end-page: 78 ident: bib0083 article-title: Impact plastic crushing and design of density-graded cellular materials publication-title: Mech Mater – volume: 51 start-page: 1646 year: 2014 end-page: 1661 ident: bib0158 article-title: Dynamic crushing of aluminum foams: Part II – Analysis publication-title: Int J Solids Struct – volume: 99 start-page: 26 year: 2016 end-page: 36 ident: bib0025 article-title: Determination of the constitutive relation and critical condition for the shock compression of cellular solids publication-title: Mech Mater – volume: 48 start-page: 506 year: 2011 end-page: 516 ident: bib0042 article-title: Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures publication-title: Int J Solids Struct – volume: 159 start-page: 784 year: 2017 end-page: 799 ident: bib0239 article-title: Finite element analysis of the compressive and shear responses of structural foams using computed tomography publication-title: Compos Struct – start-page: 04022 year: 2015 ident: bib0242 article-title: Strain-rate sensitivity of foam materials: a numerical study using 3D image-based finite element model publication-title: EPJ web of conferences, EDP sciences – volume: 27 start-page: 294 year: 1864 end-page: 299 ident: bib0200 article-title: On the calculation of the equilibrium and stiffness of frames publication-title: Philos Mag – volume: 636 start-page: 60 year: 2015 end-page: 69 ident: bib0228 article-title: Insight into cell size effects on quasi-static and dynamic compressive properties of 3D foams publication-title: Mater Sci Eng – volume: 08 year: 2016 ident: bib0253 article-title: Blast alleviation of cellular sacrificial cladding: a nonlinear plastic shock model publication-title: Int J Appl Mech – volume: 341 start-page: 1219 year: 2013 end-page: 1221 ident: bib0297 article-title: Reversibly assembled cellular composite materials publication-title: Science – volume: 51 start-page: 335 year: 2009 end-page: 349 ident: bib0217 article-title: Energy absorption of pressurized thin-walled circular tubes under axial crushing publication-title: Int J Mech Sci – year: 1997 ident: bib0001 article-title: Cellular solids: structure and properties – volume: 46 start-page: 617 year: 2009 end-page: 634 ident: bib0206 article-title: On the crushing of aluminum open-cell foams: Part I. Experiments publication-title: Int J Solids Struct – start-page: 189 year: 2014 end-page: 197 ident: bib0240 article-title: In situ investigation and image-based modelling of aluminium foam compression using micro X-Ray computed tomography publication-title: Visual computing: scientific visualization and imaging systems – volume: 46 start-page: 3929 year: 1998 end-page: 3935 ident: bib0032 article-title: The effects of cell face curvature and corrugations on the stiffness and strength of metallic foams publication-title: Acta Mater – volume: 36 start-page: 781 year: 2004 end-page: 797 ident: bib0205 article-title: Mechanisms and mechanics of compressive deformation in open-cell Al foams publication-title: Mech Mater – volume: 62 start-page: 48 year: 2013 end-page: 59 ident: bib0109 article-title: Experimental investigation on dynamic constitutive behavior of aluminum foams by new inverse methods from wave propagation measurements publication-title: Int J Impact Eng – volume: 92 start-page: 2285 year: 2010 end-page: 2291 ident: bib0281 article-title: FEM analysis of dynamic flexural behaviour of composite sandwich beams with foam core publication-title: Compos Struct – volume: 42 start-page: 1202 year: 2011 end-page: 1211 ident: bib0077 article-title: Shock enhancement effect of lightweight composite structures and materials publication-title: Compos Part B – volume: 28 start-page: 161 year: 2003 end-page: 182 ident: bib0066 article-title: In-plane dynamic crushing of honeycombs—a finite element study publication-title: Int J Impact Eng – start-page: 1 year: 2013 end-page: 9 ident: bib0071 article-title: On the energy conservation and critical velocities for the propagation of a “steady-shock” wave in a bar made of cellular material publication-title: Acta Mech Sin – volume: 48 start-page: 301 year: 2000 end-page: 322 ident: bib0018 article-title: Experimental analysis of deformation mechanisms in a closed-cell aluminum alloy foam publication-title: J Mech Phys Solids – volume: 41 start-page: 678 year: 2010 end-page: 685 ident: bib0107 article-title: Compressive behaviour of closed-cell aluminium foams at high strain rates publication-title: Compos Part B – volume: 14 start-page: 75 year: 1966 end-page: 88 ident: bib0179 article-title: Strain rate effects in cold worked high-purity Aluminium publication-title: J Mech Phys Solids – volume: 49 start-page: 1677 year: 2001 end-page: 1686 ident: bib0185 article-title: The effect of cell wall microstructure on the deformation and fracture of aluminium-based foams publication-title: Acta Mater – volume: 24 start-page: 277 year: 2000 end-page: 298 ident: bib0064 article-title: High strain rate compressive behaviour of aluminium alloy foams publication-title: Int J Impact Eng – volume: 162 start-page: 77 year: 2009 end-page: 85 ident: bib0097 article-title: Investigation on penetration resistance of foamed concrete publication-title: Proc Inst Civil Eng Struct Build – volume: 47 start-page: 14 year: 2012 end-page: 23 ident: bib0086 article-title: The impact response of clamped sandwich beams with ordinary and hierarchical cellular cores publication-title: Int J Impact Eng – volume: 94 start-page: 1745 year: 2012 end-page: 1754 ident: bib0282 article-title: Impact modeling of foam cored sandwich plates with ductile or brittle faceplates publication-title: Compos Struct – volume: 281 start-page: 1 year: 2000 end-page: 7 ident: bib0131 article-title: Strain rate sensitivity of a closed-cell aluminum foam publication-title: Mater Sci Eng – volume: 44 start-page: 359 year: 2002 end-page: 406 ident: bib0246 article-title: Validation of constitutive models applicable to aluminium foams publication-title: Int J Mech Sci – volume: 28 start-page: 290 year: 2003 end-page: 295 ident: bib0005 article-title: Aluminum foams: on the road to real applications publication-title: MRS Bull – volume: 52 start-page: 381 year: 2001 end-page: 395 ident: bib0006 article-title: Aluminum foam integral armor: a new dimension in armor design publication-title: Compos Struct – volume: 528 start-page: 2326 year: 2011 end-page: 2330 ident: bib0104 article-title: Compressive behavior of closed-cell aluminum alloy foams at medium strain rates publication-title: Mater Sci Eng – volume: 82 start-page: 3 year: 2015 end-page: 13 ident: bib0159 article-title: On the effect of relative density on the crushing and energy absorption of open-cell foams under impact publication-title: Int J Impact Eng – volume: 28 start-page: 2191 year: 2013 end-page: 2201 ident: bib0233 article-title: Cellular solids studied by x-ray tomography and finite element modeling – a review publication-title: J Mater Res – volume: 517 start-page: 37 year: 2009 end-page: 45 ident: bib0103 article-title: Mechanical behaviour and energy absorption of closed-cell aluminium foam panels in uniaxial compression publication-title: Mater Sci Eng – volume: 48 start-page: 85 year: 2006 end-page: 106 ident: bib0216 article-title: A multi-field approach to modeling the dynamic response of cellular materials publication-title: Int J Mech Sci – volume: 41 start-page: 6677 year: 2004 end-page: 6697 ident: bib0063 article-title: On the strength enhancement under impact loading of square tubes made from rate insensitive metals publication-title: Int J Solids Struct – volume: 541 start-page: 105 year: 2012 end-page: 109 ident: bib0190 article-title: Analysis of anisotropy and strain rate sensitivity of open-cell metal foam publication-title: Mater Sci Eng – volume: 36 start-page: 775 year: 2009 end-page: 782 ident: bib0070 article-title: Modeling loading rate effect on crushing stress of metallic cellular materials publication-title: Int J Impact Eng – volume: 16 start-page: 673 year: 1995 end-page: 689 ident: bib0196 article-title: Inertia-sensitive impact energy-absorbing structures part II: effect of strain rate publication-title: Int J Impact Eng – year: 2000 ident: bib0003 article-title: Metal foams: a design guide – volume: 49 start-page: 2744 year: 2012 end-page: 2753 ident: bib0145 article-title: On the dynamic mechanical properties of open-cell metal foams – A re-assessment of the ‘simple-shock theory’ publication-title: Int J Solids Struct – volume: 2 start-page: 210 year: 2000 end-page: 214 ident: bib0019 article-title: Deformation heterogeneity in cellular Al alloys publication-title: Adv Eng Mater – volume: 19 start-page: 319 year: 1997 end-page: 330 ident: bib0113 article-title: On the use of a viscoelastic split Hopkinson pressure bar publication-title: Int J Impact Eng – volume: 40 start-page: 5801 year: 2005 end-page: 5811 ident: bib0191 article-title: Investigation on the influence of cell shape anisotropy on the mechanical performance of closed cell aluminium foams using micro-computed tomography publication-title: J Mater Sci – volume: 39 start-page: 83 year: 2008 end-page: 91 ident: bib0127 article-title: The high strain rate response of PVC foams and end-grain balsa wood publication-title: Compos Part B – volume: 55 start-page: 2672 year: 2007 end-page: 2686 ident: bib0210 article-title: Shock enhancement of cellular structures under impact loading: part II analysis publication-title: J Mech Phys Solids – volume: 51 start-page: 478 year: 2014 end-page: 490 ident: bib0023 article-title: On the local nature of the strain field calculation method for measuring heterogeneous deformation of cellular materials publication-title: Int J Solids Struct – volume: 25 start-page: 731 year: 2006 end-page: 743 ident: bib0124 article-title: Compressive response of polymeric foams under quasi-static, medium and high strain rate conditions publication-title: Polym Test – volume: 121 start-page: 528 year: 1995 end-page: 540 ident: bib0270 article-title: Mechanical properties of polyurethane-foam impact limiters publication-title: J Eng Mech – volume: 51 start-page: 1469 year: 2003 end-page: 1479 ident: bib0129 article-title: Strain rate effects on sandwich core materials: an experimental and analytical investigation publication-title: Acta Mater – volume: 43 start-page: 53 year: 2006 end-page: 73 ident: bib0068 article-title: Deformation rate effects on failure modes of open-cell Al foams and textile cellular materials publication-title: Int J Solids Struct – volume: 83 start-page: 216 year: 2013 end-page: 231 ident: bib0009 article-title: Hypervelocity impact testing of advanced materials and structures for micrometeoroid and orbital debris shielding publication-title: Acta Astronaut – volume: 1 start-page: 211 year: 1994 end-page: 227 ident: bib0178 article-title: Strain rate sensitivity of polymers in compression from low to high rates publication-title: DYMAT J – volume: 2 start-page: 179 year: 2000 end-page: 183 ident: bib0182 article-title: ALPORAS aluminum foam: production process, properties, and applications publication-title: Adv Eng Mater – volume: 23 start-page: 55 year: 2013 end-page: 67 ident: bib0075 article-title: The elastic–plastic behaviour of foam under shock loading publication-title: Shock Waves – year: 2005 ident: bib0276 article-title: ANSYS/LS-DYNA theoretical manual [M] – volume: 29 year: 2015 ident: bib0011 article-title: Design of metal foam cladding subjected to close-range blast publication-title: J Perform Constr Facil – volume: 48 start-page: 698 year: 2011 end-page: 705 ident: bib0292 article-title: Impact behavior of honeycombs under combined shear-compression. Part II: analysis publication-title: Int J Solids Struct – volume: 51 start-page: 1631 year: 2014 end-page: 1645 ident: bib0069 article-title: Dynamic crushing of aluminum foams: Part I – Experiments publication-title: Int J Solids Struct – volume: 666 start-page: 245 year: 2016 end-page: 256 ident: bib0183 article-title: Investigation of microstructural and mechanical properties of cell walls of closed-cell aluminium alloy foams publication-title: Mater Sci Eng – volume: 47 start-page: 698 year: 2013 end-page: 705 ident: bib0112 article-title: Evaluation of the effect of the strain rate on the compressive response of a closed-cell aluminium foam using the split Hopkinson pressure bar test publication-title: Mater Des – volume: 620 start-page: 253 year: 2015 end-page: 261 ident: bib0114 article-title: Experimental investigation on the strain-rate effect and inertia effect of closed-cell aluminum foam subjected to dynamic loading publication-title: Mater Sci Eng – year: 2003 ident: bib0250 article-title: Energy absorption of structures and materials – volume: 42 start-page: 371 year: 2006 end-page: 392 ident: bib0100 article-title: Compressive strain at the onset of densification of cellular solids publication-title: J Cell Plast – volume: 28 start-page: 1014 year: 2009 end-page: 1025 ident: bib0279 article-title: A theoretical analysis of the dynamic response of metallic sandwich beam under impulsive loading publication-title: Eur J Mech - A/Solids – volume: 42 start-page: 66 year: 2012 end-page: 79 ident: bib0169 article-title: Dynamic crushing of cellular materials: continuum-based wave models for the transitional and shock modes publication-title: Int J Impact Eng – volume: 39 start-page: 549 year: 1997 end-page: 563 ident: bib0045 article-title: The effects of non-periodic microstructure and defects on the compressive strength of two-dimensional cellular solids publication-title: Int J Mech Sci – volume: 16 start-page: 651 year: 1995 end-page: 672 ident: bib0195 article-title: Inertia-sensitive impact energy-absorbing structures part I: effects of inertia and elasticity publication-title: Int J Impact Eng – volume: 94 start-page: 2326 year: 2012 end-page: 2336 ident: bib0137 article-title: Experimental study of the out-of-plane dynamic compression of hexagonal honeycombs publication-title: Compos Struct – volume: 42 start-page: 227 year: 2010 end-page: 236 ident: bib0024 article-title: Finite element simulation of the plastic collapse of closed-cell aluminum foams with X-ray computed tomography publication-title: Mech Mater – volume: 466 start-page: 2495 year: 2010 end-page: 2516 ident: bib0037 article-title: Micro-architectured materials: past, present and future publication-title: Proceedings of the royal society A: mathematical, physical and engineering science – volume: 12 start-page: 585 year: 1992 end-page: 602 ident: bib0224 article-title: Effects of nonhomogeneity, cell damage and strain-rate on impact crushing of a strain-softening cellular chain publication-title: Int J Impact Eng – volume: 19 start-page: 531 year: 1997 end-page: 570 ident: bib0153 article-title: Dynamic uniaxial crushing of wood publication-title: Int J Impact Eng – volume: 43 start-page: 681 year: 2001 ident: 10.1016/j.ijimpeng.2017.10.006_bib0091 article-title: Size effects in ductile cellular solids. Part I: modeling publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(00)00042-4 – volume: 48 start-page: 803 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0202 article-title: Buckling and progressive crushing of laterally loaded honeycomb publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2010.11.014 – volume: 60 start-page: 3084 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0098 article-title: The elastic behavior of aluminum alloy foam under uniaxial loading and bending conditions publication-title: Acta Mater doi: 10.1016/j.actamat.2012.02.013 – volume: 40 start-page: 429 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0184 article-title: Microscale testing of the strut in open cell aluminum foams publication-title: J Mater Sci doi: 10.1007/s10853-005-6100-8 – volume: 28 start-page: 161 year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0066 article-title: In-plane dynamic crushing of honeycombs—a finite element study publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(02)00056-8 – volume: 34 start-page: 329 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0257 article-title: Energy absorption of double-layer foam cladding for blast alleviation publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2005.07.012 – volume: 57 start-page: 945 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0135 article-title: High strain rate compression of cenosphere-pure aluminum syntactic foams publication-title: Scr Mater doi: 10.1016/j.scriptamat.2007.07.024 – volume: 43 start-page: 763 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0186 article-title: Modeling strain rate effect of heterogeneous materials using SPH method publication-title: Rock Mech Rock Eng doi: 10.1007/s00603-010-0089-2 – volume: 25 start-page: 731 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0124 article-title: Compressive response of polymeric foams under quasi-static, medium and high strain rate conditions publication-title: Polym Test doi: 10.1016/j.polymertesting.2006.05.005 – volume: 162 start-page: 77 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0097 article-title: Investigation on penetration resistance of foamed concrete publication-title: Proc Inst Civil Eng Struct Build doi: 10.1680/stbu.2009.162.1.77 – volume: 37 start-page: 1211 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0187 article-title: Quantitative assessment of microstructure and its effects on compression behavior of aluminum foams via high-resolution synchrotron X-ray tomography publication-title: Metall Mater Trans A doi: 10.1007/s11661-006-1072-0 – volume: 83 start-page: 180 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0016 article-title: Measuring the cell wall mechanical properties of Al-alloy foams using the nanoindentation method publication-title: Compos Struct doi: 10.1016/j.compstruct.2007.04.016 – volume: 49 start-page: 1035 year: 2001 ident: 10.1016/j.ijimpeng.2017.10.006_bib0036 article-title: Foam topology: bending versus stretching dominated architectures publication-title: Acta Mater doi: 10.1016/S1359-6454(00)00379-7 – volume: 47 start-page: 173 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0117 article-title: A new method combining lagrangian analysis with Hopkinson pressure bar technique publication-title: Strain doi: 10.1111/j.1475-1305.2008.00533.x – volume: 19 start-page: 531 year: 1997 ident: 10.1016/j.ijimpeng.2017.10.006_bib0153 article-title: Dynamic uniaxial crushing of wood publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(97)00016-X – volume: 476 start-page: 89 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0095 article-title: Microstructure and properties of LZSA glass-ceramic foams publication-title: Mater Sci Eng doi: 10.1016/j.msea.2007.05.098 – volume: 30 start-page: 2823 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0116 article-title: Numerical simulation of drop weight impact behaviour of closed cell aluminium foam publication-title: Mater Des doi: 10.1016/j.matdes.2009.01.026 – volume: 636 start-page: 60 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0228 article-title: Insight into cell size effects on quasi-static and dynamic compressive properties of 3D foams publication-title: Mater Sci Eng doi: 10.1016/j.msea.2015.03.052 – volume: 616 start-page: 171 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0120 article-title: Variation of quasi-static and dynamic compressive properties in a single aluminium foam block publication-title: Mater Sci Eng doi: 10.1016/j.msea.2014.08.002 – start-page: 189 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0240 article-title: In situ investigation and image-based modelling of aluminium foam compression using micro X-Ray computed tomography – volume: 50 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0266 article-title: Dispersive waves in microstructured solids publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2013.02.018 – volume: 28 start-page: 290 year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0005 article-title: Aluminum foams: on the road to real applications publication-title: MRS Bull doi: 10.1557/mrs2003.83 – volume: 46 start-page: 2765 year: 1998 ident: 10.1016/j.ijimpeng.2017.10.006_bib0201 article-title: Experiments and full-scale numerical simulations of in-plane crushing of a honeycomb publication-title: Acta Mater doi: 10.1016/S1359-6454(97)00453-9 – volume: 8 start-page: 343 year: 1989 ident: 10.1016/j.ijimpeng.2017.10.006_bib0164 article-title: Dynamic wave dispersion and loss properties of conventional and negative Poisson's ratio polymeric cellular materials publication-title: Cell Polym doi: 10.1177/026248938900800501 – year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0155 – volume: 82 start-page: 103 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0220 article-title: A 3D mesoscopic model for the closed-cell metallic foams subjected to static and dynamic loadings publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2014.10.009 – volume: 42 start-page: 227 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0024 article-title: Finite element simulation of the plastic collapse of closed-cell aluminum foams with X-ray computed tomography publication-title: Mech Mater doi: 10.1016/j.mechmat.2010.01.003 – volume: 84 start-page: 351 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0294 article-title: Energy absorption of graded foam subjected to blast: a theoretical approach publication-title: Mater Des doi: 10.1016/j.matdes.2015.06.124 – volume: 29 start-page: 1732 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0286 article-title: Preliminary investigation of aluminium foam as an energy absorber for nuclear transportation cask publication-title: Mater Des doi: 10.1016/j.matdes.2008.03.028 – volume: 53 start-page: 2174 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0054 article-title: Dynamic compressive strength properties of aluminium foams. Part I—experimental data and observations publication-title: J Mech Phys Solids doi: 10.1016/j.jmps.2005.05.007 – volume: 41 start-page: 6677 year: 2004 ident: 10.1016/j.ijimpeng.2017.10.006_bib0063 article-title: On the strength enhancement under impact loading of square tubes made from rate insensitive metals publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2004.05.039 – volume: 51 start-page: 335 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0217 article-title: Energy absorption of pressurized thin-walled circular tubes under axial crushing publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2009.03.002 – volume: 89 start-page: 215 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0026 article-title: Investigation of strain-rate effect on the compressive behaviour of closed-cell aluminium foam by 3D image-based modelling publication-title: Mater Des doi: 10.1016/j.matdes.2015.09.109 – volume: 37 start-page: 6321 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0094 article-title: The crush behaviour of Rohacell-51WF structural foam publication-title: Int J Solids Struct doi: 10.1016/S0020-7683(99)00277-2 – volume: 44 start-page: 1665 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0174 article-title: In-plane dynamic crushing of honeycomb. Part I: crush band initiation and wave trapping publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(02)00060-7 – volume: 528 start-page: 2326 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0104 article-title: Compressive behavior of closed-cell aluminum alloy foams at medium strain rates publication-title: Mater Sci Eng doi: 10.1016/j.msea.2010.12.059 – volume: 26 start-page: 5930 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0296 article-title: 3D-printing of lightweight cellular composites publication-title: Adv Mater doi: 10.1002/adma.201401804 – volume: 110 start-page: 72 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0170 article-title: A numerical study on deformation mode and strength enhancement of metal foam under dynamic loading publication-title: Mater Des doi: 10.1016/j.matdes.2016.07.123 – volume: 53 start-page: 74 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0111 article-title: Impact behaviour testing of aluminium foam publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2012.07.002 – volume: 94 start-page: 2326 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0137 article-title: Experimental study of the out-of-plane dynamic compression of hexagonal honeycombs publication-title: Compos Struct doi: 10.1016/j.compstruct.2012.02.024 – volume: 54 start-page: 533 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0141 article-title: Compressive response of a closed-cell aluminum foam at high strain rate publication-title: Scr Mater doi: 10.1016/j.scriptamat.2005.10.062 – volume: 48 start-page: 2496 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0264 article-title: Couple stress theory for solids publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2011.05.002 – volume: 91 start-page: 170 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0118 article-title: Investigation of the dynamic stress–strain response of compressible polymeric foam using a non-parametric analysis publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2016.01.007 – volume: 47 start-page: 1 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0138 article-title: Strength enhancement of aluminium honeycombs caused by entrapped air under dynamic out-of-plane compression publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2012.02.008 – volume: 466 start-page: 2495 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0037 article-title: Micro-architectured materials: past, present and future – volume: 159 start-page: 784 year: 2017 ident: 10.1016/j.ijimpeng.2017.10.006_bib0239 article-title: Finite element analysis of the compressive and shear responses of structural foams using computed tomography publication-title: Compos Struct doi: 10.1016/j.compstruct.2016.09.091 – volume: 2 start-page: 53 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0076 article-title: Protection against blast load with cellular materials and structures publication-title: Int J Aerosp Lightweight Struct doi: 10.3850/S2010428612000220 – volume: 74 start-page: 120 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0108 article-title: Strength enhancement of aluminium foams and honeycombs by entrapped air under dynamic loadings publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2014.03.007 – volume: 71 start-page: 386 year: 2004 ident: 10.1016/j.ijimpeng.2017.10.006_bib0251 article-title: The resistance of clamped sandwich beams to shock loading publication-title: J Appl Mech doi: 10.1115/1.1629109 – volume: 153 start-page: 614 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0285 article-title: Dynamic response of slender multilayer sandwich beams with metal foam cores subjected to low-velocity impact publication-title: Compos Struct doi: 10.1016/j.compstruct.2016.06.059 – volume: 96 start-page: 298 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0288 article-title: Experimental and numerical study on the low-velocity impact behavior of foam-core sandwich panels publication-title: Compos Struct doi: 10.1016/j.compstruct.2012.09.002 – volume: 36 start-page: 1223 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0080 article-title: Collapse of periodic planar lattices under uniaxial compression, part I: quasi-static strength predicted by limit analysis publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2009.05.011 – volume: 16 start-page: 673 year: 1995 ident: 10.1016/j.ijimpeng.2017.10.006_bib0196 article-title: Inertia-sensitive impact energy-absorbing structures part II: effect of strain rate publication-title: Int J Impact Eng doi: 10.1016/0734-743X(94)00062-2 – volume: 94 start-page: 1745 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0282 article-title: Impact modeling of foam cored sandwich plates with ductile or brittle faceplates publication-title: Compos Struct doi: 10.1016/j.compstruct.2011.12.021 – volume: 8 start-page: 469 year: 1966 ident: 10.1016/j.ijimpeng.2017.10.006_bib0061 article-title: The plastic behavior of cellular materials publication-title: Int J Mech Sci doi: 10.1016/0020-7403(66)90019-1 – volume: 51 start-page: 4823 year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0212 article-title: Application of mean-field approximation to elastic-plastic behavior for closed-cell metal foams publication-title: Acta Mater doi: 10.1016/S1359-6454(03)00322-7 – year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0003 – volume: 41 start-page: 678 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0107 article-title: Compressive behaviour of closed-cell aluminium foams at high strain rates publication-title: Compos Part B doi: 10.1016/j.compositesb.2010.07.005 – volume: 43 start-page: 515 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0136 article-title: Crushing of aluminum closed cell foams: density and strain rate effects publication-title: Scr Mater doi: 10.1016/S1359-6462(00)00460-7 – volume: 119 start-page: 284 year: 1997 ident: 10.1016/j.ijimpeng.2017.10.006_bib0272 article-title: Constitutive modeling and material characterization of polymeric foams publication-title: J Eng Mater Technol doi: 10.1115/1.2812258 – volume: 48 start-page: 698 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0292 article-title: Impact behavior of honeycombs under combined shear-compression. Part II: analysis publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2010.11.004 – volume: 52 start-page: 869 year: 2004 ident: 10.1016/j.ijimpeng.2017.10.006_bib0119 article-title: Variability in mechanical properties of a metal foam publication-title: Acta Mater doi: 10.1016/j.actamat.2003.10.021 – volume: 96 start-page: 726 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0244 article-title: In-plane crushing and energy absorption performance of multi-layer regularly arranged circular honeycombs publication-title: Compos Struct doi: 10.1016/j.compstruct.2012.10.008 – volume: 19 start-page: 1195 year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0271 article-title: Experimental studies on the yield behavior of ductile and brittle aluminum foams publication-title: Int J Plast doi: 10.1016/S0749-6419(02)00017-7 – volume: 8 start-page: 397 year: 1992 ident: 10.1016/j.ijimpeng.2017.10.006_bib0180 article-title: Experimental and theoretical study of mechanical behavior of 1100 aluminum in the strain rate range 10−5−104s−1 publication-title: Int J Plasticity doi: 10.1016/0749-6419(92)90057-J – volume: 139 start-page: 1362 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0259 article-title: Mitigating ground shocks with cellular solids publication-title: J Eng Mech doi: 10.1061/(ASCE)EM.1943-7889.0000585 – volume: 40 start-page: 5801 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0191 article-title: Investigation on the influence of cell shape anisotropy on the mechanical performance of closed cell aluminium foams using micro-computed tomography publication-title: J Mater Sci doi: 10.1007/s10853-005-4994-9 – volume: 487 start-page: 558 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0046 article-title: Effect of defects on elastic–plastic behavior of cellular materials publication-title: Mater Sci Eng doi: 10.1016/j.msea.2007.10.050 – volume: 37 start-page: 918 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0171 article-title: The correct analysis of shocks in a cellular material publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2009.03.011 – volume: 51 start-page: 1646 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0158 article-title: Dynamic crushing of aluminum foams: Part II – Analysis publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2013.11.020 – year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0150 – volume: 41 start-page: 60 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0193 article-title: Cell wall mechanical properties of closed-cell Al foam publication-title: Mech Mater doi: 10.1016/j.mechmat.2008.08.002 – volume: 63 start-page: 533 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0057 article-title: A comparison of composite metal foam's properties and other comparable metal foams publication-title: Mater Lett doi: 10.1016/j.matlet.2008.11.002 – volume: 48 start-page: 687 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0291 article-title: Impact behavior of honeycombs under combined shear-compression. Part I: experiments publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2010.11.005 – volume: 8 start-page: 459 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0166 article-title: 3-D image-based mechanical simulation of aluminium foams: effects of internal microstructure publication-title: Adv Eng Mater doi: 10.1002/adem.200600035 – volume: 521 start-page: 47 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0232 article-title: Finite element modeling of cellular materials publication-title: Cell Porous Mater Struct Processes doi: 10.1007/978-3-7091-0297-8_2 – volume: 2 start-page: 210 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0019 article-title: Deformation heterogeneity in cellular Al alloys publication-title: Adv Eng Mater doi: 10.1002/(SICI)1527-2648(200004)2:4<210::AID-ADEM210>3.0.CO;2-Z – volume: 121 start-page: 528 year: 1995 ident: 10.1016/j.ijimpeng.2017.10.006_bib0270 article-title: Mechanical properties of polyurethane-foam impact limiters publication-title: J Eng Mech doi: 10.1061/(ASCE)0733-9399(1995)121:4(528) – volume: 43 start-page: 701 year: 2001 ident: 10.1016/j.ijimpeng.2017.10.006_bib0090 article-title: Size effects in ductile cellular solids. Part II: experimental results publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(00)00043-6 – volume: 128 start-page: 459 year: 2017 ident: 10.1016/j.ijimpeng.2017.10.006_bib0252 article-title: Air-blast response of sacrificial cladding using low density foams: experimental and analytical approach publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2017.05.024 – volume: 47 start-page: 14 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0086 article-title: The impact response of clamped sandwich beams with ordinary and hierarchical cellular cores publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2012.03.001 – volume: 56 start-page: 109 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0089 article-title: Size effects in foams: experiments and modeling publication-title: Prog Mater Sci doi: 10.1016/j.pmatsci.2010.06.001 – volume: 53 start-page: 293 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0229 article-title: Analyses on the dynamic strength of honeycombs under the y-directional crushing publication-title: Mater Des doi: 10.1016/j.matdes.2013.06.076 – volume: 48 start-page: 85 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0216 article-title: A multi-field approach to modeling the dynamic response of cellular materials publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2005.09.004 – volume: 44 start-page: 5003 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0043 article-title: Dynamic crushing behavior of honeycomb structures with irregular cell shapes and non-uniform cell wall thickness publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2006.12.017 – volume: 27 start-page: 1015 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0290 article-title: Compressive response of circular cell polycarbonate honeycombs under inplane biaxial static and dynamic loading—Part II: simulations publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(02)00012-X – volume: 16 start-page: 651 year: 1995 ident: 10.1016/j.ijimpeng.2017.10.006_bib0195 article-title: Inertia-sensitive impact energy-absorbing structures part I: effects of inertia and elasticity publication-title: Int J Impact Eng doi: 10.1016/0734-743X(94)00061-Z – volume: 28 start-page: 2191 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0233 article-title: Cellular solids studied by x-ray tomography and finite element modeling – a review publication-title: J Mater Res doi: 10.1557/jmr.2013.97 – year: 2017 ident: 10.1016/j.ijimpeng.2017.10.006_bib0295 article-title: Overview of composite metal foams and their properties and performance publication-title: Adv Eng Mater doi: 10.1002/adem.201600776 – volume: 8 start-page: 43 year: 1989 ident: 10.1016/j.ijimpeng.2017.10.006_bib0197 article-title: A note on a ‘velocity sensitive’ energy-absorbing structure publication-title: Int J Impact Eng doi: 10.1016/0734-743X(89)90030-4 – volume: 32 start-page: 1138 year: 1992 ident: 10.1016/j.ijimpeng.2017.10.006_bib0123 article-title: Constitutive modeling and simulation of energy absorbing polyurethane foam under impact loading publication-title: Polym Eng Sci doi: 10.1002/pen.760321611 – volume: 68 start-page: 85 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0105 article-title: On crushing response of the three-dimensional closed-cell foam based on Voronoi model publication-title: Mech Mater doi: 10.1016/j.mechmat.2013.08.009 – volume: 99 start-page: 98 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0284 article-title: A theoretical study of plastic analysis of fully clamped geometrical asymmetric sandwich beams with a metal foam core publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2015.04.019 – volume: 83 start-page: 216 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0009 article-title: Hypervelocity impact testing of advanced materials and structures for micrometeoroid and orbital debris shielding publication-title: Acta Astronaut doi: 10.1016/j.actaastro.2012.09.012 – volume: 52 start-page: 381 year: 2001 ident: 10.1016/j.ijimpeng.2017.10.006_bib0006 article-title: Aluminum foam integral armor: a new dimension in armor design publication-title: Compos Struct doi: 10.1016/S0263-8223(01)00029-0 – volume: 36 start-page: 781 year: 2004 ident: 10.1016/j.ijimpeng.2017.10.006_bib0205 article-title: Mechanisms and mechanics of compressive deformation in open-cell Al foams publication-title: Mech Mater doi: 10.1016/j.mechmat.2003.05.004 – volume: 109 start-page: 321 year: 2017 ident: 10.1016/j.ijimpeng.2017.10.006_bib0052 article-title: Meso-scale mechanism of compaction shock propagation in cellular materials publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2017.07.005 – volume: 31 start-page: 4281 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0245 article-title: Dynamic crushing behavior of 3D closed-cell foams based on Voronoi random model publication-title: Mater Des doi: 10.1016/j.matdes.2010.04.007 – volume: 46 start-page: 617 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0206 article-title: On the crushing of aluminum open-cell foams: Part I. Experiments publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2008.09.008 – volume: 52 start-page: 1290 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0044 article-title: Effects of defects on the in-plane dynamic crushing of metal honeycombs publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2010.06.004 – volume: 44 start-page: 359 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0246 article-title: Validation of constitutive models applicable to aluminium foams publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(01)00091-1 – volume: 59 start-page: 1 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0189 article-title: Quantitative X-ray tomography publication-title: Int Mater Rev doi: 10.1179/1743280413Y.0000000023 – volume: 42 start-page: 1202 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0077 article-title: Shock enhancement effect of lightweight composite structures and materials publication-title: Compos Part B doi: 10.1016/j.compositesb.2011.02.014 – volume: 270 start-page: 113 year: 1999 ident: 10.1016/j.ijimpeng.2017.10.006_bib0168 article-title: Compressive and tensile behaviour of aluminum foams publication-title: Mater Sci Eng A doi: 10.1016/S0921-5093(99)00170-7 – volume: 36 start-page: 329 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0029 article-title: Polypropylene foam behaviour under dynamic loadings: strain rate, density and microstructure effects publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2007.11.007 – start-page: 04022 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0242 article-title: Strain-rate sensitivity of foam materials: a numerical study using 3D image-based finite element model – volume: 631 start-page: 248 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0221 article-title: High strain rate behavior of composite metal foams publication-title: Mater Sci Eng doi: 10.1016/j.msea.2015.02.027 – year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0007 – volume: 61 start-page: 2390 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0015 article-title: A relationship between the geometrical structure of a nanoporous metal foam and its modulus publication-title: Acta Mater doi: 10.1016/j.actamat.2013.01.011 – volume: 57 start-page: 7 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0022 article-title: Dynamic crushing of 2D cellular structures: local strain field and shock wave velocity publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2013.01.008 – volume: 51 start-page: 2424 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0261 article-title: Compaction of a double-layered metal foam block impacting a rigid wall publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2014.03.012 – volume: 44 start-page: 8685 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0204 article-title: Compressive response and failure of balsa wood publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2007.07.003 – volume: 55 start-page: 2672 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0210 article-title: Shock enhancement of cellular structures under impact loading: part II analysis publication-title: J Mech Phys Solids doi: 10.1016/j.jmps.2007.04.004 – volume: 23 start-page: 55 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0075 article-title: The elastic–plastic behaviour of foam under shock loading publication-title: Shock Waves doi: 10.1007/s00193-012-0414-7 – volume: 1 start-page: 211 year: 1994 ident: 10.1016/j.ijimpeng.2017.10.006_bib0178 article-title: Strain rate sensitivity of polymers in compression from low to high rates publication-title: DYMAT J – volume: 46 start-page: 559 year: 2001 ident: 10.1016/j.ijimpeng.2017.10.006_bib0004 article-title: Manufacture, characterisation and application of cellular metals and metal foams publication-title: Prog Mater Sci doi: 10.1016/S0079-6425(00)00002-5 – volume: 96 start-page: 346 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0287 article-title: Low-velocity impact response of fully clamped metal foam core sandwich beam incorporating local denting effect publication-title: Compos Struct doi: 10.1016/j.compstruct.2012.09.024 – year: 2017 ident: 10.1016/j.ijimpeng.2017.10.006_bib0188 article-title: Effects of cell-wall instability and local failure on the response of closed-cell polymeric foams subjected to dynamic loading publication-title: Mech Mater – year: 1994 ident: 10.1016/j.ijimpeng.2017.10.006_bib0162 – volume: 47 start-page: 2235 year: 1999 ident: 10.1016/j.ijimpeng.2017.10.006_bib0040 article-title: Effect of imperfections on the yielding of two-dimensional foams publication-title: J Mech Phys Solids doi: 10.1016/S0022-5096(99)00030-7 – volume: 72 start-page: 93 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0149 article-title: Dynamic stress-strain states for metal foams using a 3D cellular model publication-title: J Mech Phys Solids doi: 10.1016/j.jmps.2014.07.013 – volume: 44 start-page: 1697 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0175 article-title: In-plane dynamic crushing of honeycomb. Part II: application to impact publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(02)00061-9 – volume: 34 start-page: 60 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0256 article-title: Analysis of foam claddings for blast alleviation publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2005.10.005 – volume: 48 start-page: 1962 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0263 article-title: Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2011.03.006 – volume: 93 start-page: 1526 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0280 article-title: Low-velocity heavy-mass impact response of slender metal foam core sandwich beam publication-title: Compos Struct doi: 10.1016/j.compstruct.2010.11.018 – volume: 12 start-page: 905 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0262 article-title: Primary and reflected compaction waves in a foam rod due to an axial impact by a small mass publication-title: Lat Am J Solids Struct doi: 10.1590/1679-78251300 – volume: 92 start-page: 2339 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0146 article-title: An investigation on the dynamic response of polymeric, metallic, and biomaterial foams publication-title: Compos Struct doi: 10.1016/j.compstruct.2010.02.013 – volume: 39 start-page: 1 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0161 article-title: Impact response of high density flexible polyurethane foam publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2011.09.004 – volume: 32 start-page: 1898 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0167 article-title: About one-dimensional shock propagation in a cellular material publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2005.04.006 – volume: 72 start-page: 978 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0208 article-title: Discussion: “the resistance of clamped sandwich beams to shock loading” publication-title: J Appl Mech doi: 10.1115/1.2040452 – volume: 51 start-page: 1469 year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0129 article-title: Strain rate effects on sandwich core materials: an experimental and analytical investigation publication-title: Acta Mater doi: 10.1016/S1359-6454(02)00541-4 – volume: 42 start-page: 66 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0169 article-title: Dynamic crushing of cellular materials: continuum-based wave models for the transitional and shock modes publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2011.09.009 – volume: 31 start-page: 635 year: 1989 ident: 10.1016/j.ijimpeng.2017.10.006_bib0267 article-title: Failure surfaces for cellular materials under multiaxial loads—I. Modelling publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(89)80001-3 – volume: 112 start-page: 398 year: 1990 ident: 10.1016/j.ijimpeng.2017.10.006_bib0223 article-title: Dynamic crushing of strain-softening cellular structures—a one-dimensional analysis publication-title: J Eng Mater Technol doi: 10.1115/1.2903349 – volume: 53 start-page: 279 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0225 article-title: A study on compressive shock wave propagation in metallic foams publication-title: Sci China Phys Mech Astron doi: 10.1007/s11433-009-0271-2 – volume: 666 start-page: 245 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0183 article-title: Investigation of microstructural and mechanical properties of cell walls of closed-cell aluminium alloy foams publication-title: Mater Sci Eng doi: 10.1016/j.msea.2016.04.046 – volume: 618 start-page: 496 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0082 article-title: Preparation of density-graded aluminum foam publication-title: Mater Sci Eng doi: 10.1016/j.msea.2014.08.087 – volume: 30 start-page: 421 year: 2004 ident: 10.1016/j.ijimpeng.2017.10.006_bib0254 article-title: High-velocity plate impact of metal foams publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(03)00066-6 – volume: 659 start-page: 278 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0218 article-title: The trapped gas effect on the dynamic compressive strength of light aluminum foams publication-title: Mater Sci Eng doi: 10.1016/j.msea.2016.02.031 – volume: 101 start-page: 990 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0002 article-title: Properties and applications of foamed concrete; a review publication-title: Constr Build Mater doi: 10.1016/j.conbuildmat.2015.10.112 – volume: 19 start-page: 319 year: 1997 ident: 10.1016/j.ijimpeng.2017.10.006_bib0113 article-title: On the use of a viscoelastic split Hopkinson pressure bar publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(96)00038-3 – volume: 42 start-page: 371 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0100 article-title: Compressive strain at the onset of densification of cellular solids publication-title: J Cell Plast doi: 10.1177/0021955X06063519 – volume: 35 start-page: 644 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0134 article-title: The mechanical behaviour of aluminium foam structures in different loading conditions publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2007.02.007 – start-page: 1 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0071 article-title: On the energy conservation and critical velocities for the propagation of a “steady-shock” wave in a bar made of cellular material publication-title: Acta Mech Sin – volume: 29 start-page: 388 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0056 article-title: Composite metal foams processed through powder metallurgy publication-title: Mater Des doi: 10.1016/j.matdes.2007.01.026 – volume: 26 start-page: 837 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0110 article-title: On the behaviour characterization of metallic cellular materials under impact loading publication-title: Acta Mech Sin doi: 10.1007/s10409-010-0392-x – volume: 46 start-page: 3109 year: 1998 ident: 10.1016/j.ijimpeng.2017.10.006_bib0012 article-title: Aluminum foams produced by liquid-state processes publication-title: Acta Mater doi: 10.1016/S1359-6454(98)00017-2 – volume: 99 start-page: 26 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0025 article-title: Determination of the constitutive relation and critical condition for the shock compression of cellular solids publication-title: Mech Mater doi: 10.1016/j.mechmat.2016.04.004 – volume: 32 start-page: 650 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0067 article-title: Dynamic crushing of 2D cellular structures: a finite element study publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2005.05.007 – volume: 14 start-page: 75 year: 1966 ident: 10.1016/j.ijimpeng.2017.10.006_bib0179 article-title: Strain rate effects in cold worked high-purity Aluminium publication-title: J Mech Phys Solids doi: 10.1016/0022-5096(66)90038-X – start-page: 229 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0017 article-title: AlVis - an aluminium-foam visualization and investigation tool – volume: 42 start-page: 7502 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0088 article-title: Compressive mechanical response of a low-density epoxy foam at various strain rates publication-title: J Mater Sci doi: 10.1007/s10853-007-1612-z – volume: 110 start-page: 161 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0096 article-title: The variation in elastic modulus throughout the compression of foam materials publication-title: Acta Mater doi: 10.1016/j.actamat.2016.03.003 – volume: 31 start-page: 895 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0198 article-title: A study on type II structures. Part I: a modified one-dimensional mass–spring model publication-title: Int J Impact Eng – volume: 94 start-page: 2262 year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0203 article-title: Nucleation and propagation of plastic collapse bands in aluminum honeycomb publication-title: J Appl Phys doi: 10.1063/1.1592010 – volume: 14 start-page: 1251 year: 2017 ident: 10.1016/j.ijimpeng.2017.10.006_bib0053 article-title: Stress distribution in graded cellular materials under dynamic compression publication-title: Lat Am J Solids Struct doi: 10.1590/1679-78253428 – year: 1981 ident: 10.1016/j.ijimpeng.2017.10.006_bib0027 – volume: 28 start-page: 1014 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0279 article-title: A theoretical analysis of the dynamic response of metallic sandwich beam under impulsive loading publication-title: Eur J Mech - A/Solids doi: 10.1016/j.euromechsol.2009.04.002 – year: 1997 ident: 10.1016/j.ijimpeng.2017.10.006_bib0001 – volume: 30 start-page: 167 year: 2004 ident: 10.1016/j.ijimpeng.2017.10.006_bib0051 article-title: Dynamic buckling of elastic–plastic square tubes under axial impact—II: structural response publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(03)00062-9 – volume: 27 start-page: 729 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0289 article-title: Compressive response of circular cell polycarbonate honeycombs under inplane biaxial static and dynamic loading. Part I: experiments publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(02)00011-8 – volume: 53 start-page: 3415 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0041 article-title: The effect of structural defects on the compressive behavior of closed-cell Al foam publication-title: Acta Mater doi: 10.1016/j.actamat.2005.04.010 – volume: 599 start-page: 174 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0192 article-title: Temperature effects on the mechanical behavior of aluminum foam under dynamic loading publication-title: Mater Sci Eng doi: 10.1016/j.msea.2014.01.076 – year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0177 – volume: 34 start-page: 303 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0199 article-title: Dynamic crushing of a one-dimensional chain of type II structures publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2005.08.002 – volume: 39 start-page: 83 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0127 article-title: The high strain rate response of PVC foams and end-grain balsa wood publication-title: Compos Part B doi: 10.1016/j.compositesb.2007.02.005 – volume: 49 start-page: 1677 year: 2001 ident: 10.1016/j.ijimpeng.2017.10.006_bib0185 article-title: The effect of cell wall microstructure on the deformation and fracture of aluminium-based foams publication-title: Acta Mater doi: 10.1016/S1359-6454(01)00072-6 – volume: 40 start-page: 2147 year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0092 article-title: Dynamic response and energy dissipation characteristics of balsa wood: experiment and analysis publication-title: Int J Solids Struct doi: 10.1016/S0020-7683(03)00057-X – volume: 81 start-page: 1661 year: 1998 ident: 10.1016/j.ijimpeng.2017.10.006_bib0084 article-title: Tailored porosity gradients via colloidal infiltration of compression-molded sponges publication-title: J Am Ceram Soc doi: 10.1111/j.1151-2916.1998.tb02528.x – volume: 57 start-page: 331 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0247 article-title: Compressive behaviour of aluminium foams at low and medium strain rates publication-title: Compos Struct doi: 10.1016/S0263-8223(02)00100-9 – volume: 30 start-page: 143 year: 2004 ident: 10.1016/j.ijimpeng.2017.10.006_bib0050 article-title: Dynamic buckling of elastic–plastic square tubes under axial impact—I: stress wave propagation phenomenon publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(03)00061-7 – volume: 27 start-page: 593 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0072 article-title: Close-range blast loading of aluminium foam panels publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(01)00155-5 – volume: 36 start-page: 1231 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0081 article-title: Collapse of periodic planar lattices under uniaxial compression, part II: dynamic crushing based on finite element simulation publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2009.05.010 – volume: 454–455 start-page: 542 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0030 article-title: Research into the effect of cell diameter of aluminum foam on its compressive and energy absorption properties publication-title: Mater Sci Eng doi: 10.1016/j.msea.2006.11.091 – volume: 82 start-page: 3 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0159 article-title: On the effect of relative density on the crushing and energy absorption of open-cell foams under impact publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2015.03.011 – volume: 38 start-page: 132 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0093 article-title: Strain measures for rigid crushable foam in uniaxial compression publication-title: Strain doi: 10.1046/j.1475-1305.2002.00029.x – volume: 36 start-page: 645 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0144 article-title: The strain rate effect of an open cell aluminum foam publication-title: Metall Mater Trans A doi: 10.1007/s11661-005-0180-6 – volume: 47 start-page: 1987 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0102 article-title: Indentation into polymeric foams publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2010.03.025 – volume: 526 start-page: 11 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0211 article-title: Comparison of quasi-static and dynamic compression behavior of closed-cell aluminum foam publication-title: Mater Sci Eng doi: 10.1016/j.msea.2009.07.017 – volume: 42 start-page: 1097 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0062 article-title: Failure of aluminum foams under multiaxial loads publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(99)00043-0 – volume: 99 start-page: 111 year: 2017 ident: 10.1016/j.ijimpeng.2017.10.006_bib0157 article-title: Dynamic material parameters of closed-cell foams under high-velocity impact publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2016.09.013 – volume: 48 start-page: 301 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0018 article-title: Experimental analysis of deformation mechanisms in a closed-cell aluminum alloy foam publication-title: J Mech Phys Solids doi: 10.1016/S0022-5096(99)00035-6 – volume: 36 start-page: 775 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0070 article-title: Modeling loading rate effect on crushing stress of metallic cellular materials publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2008.11.013 – volume: 53 start-page: 2206 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0055 article-title: Dynamic compressive strength properties of aluminium foams. Part II—‘shock’ theory and comparison with experimental data and numerical models publication-title: J Mech Phys Solids doi: 10.1016/j.jmps.2005.05.003 – volume: 47 start-page: 698 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0112 article-title: Evaluation of the effect of the strain rate on the compressive response of a closed-cell aluminium foam using the split Hopkinson pressure bar test publication-title: Mater Des doi: 10.1016/j.matdes.2012.12.050 – year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0250 – volume: 53 start-page: 29 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0106 article-title: Dynamic crushing of cellular materials: a unified framework of plastic shock wave models publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2012.06.012 – volume: 1 start-page: 175 year: 1983 ident: 10.1016/j.ijimpeng.2017.10.006_bib0152 article-title: Structural plastic shock model for one-dimensional ring systems publication-title: Int J Impact Eng doi: 10.1016/0734-743X(83)90005-2 – volume: 62 start-page: 196 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0255 article-title: Compaction of metal foam subjected to an impact by a low-density deformable projectile publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2013.07.004 – volume: 10 start-page: 775 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0008 article-title: Porous metals and metallic foams: current status and recent developments publication-title: Adv Eng Mater doi: 10.1002/adem.200800241 – volume: 38 start-page: 160 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0028 article-title: Strain-rate effect and micro-structural optimization of cellular metals publication-title: Mech Mater doi: 10.1016/j.mechmat.2005.05.018 – volume: 67 start-page: 818 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0010 article-title: Honeycomb vs. foam: evaluating potential upgrades to ISS module shielding publication-title: Acta Astronaut doi: 10.1016/j.actaastro.2010.05.021 – start-page: 727 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0140 article-title: High rate compressive behavior of aluminum foams by modified SHPB technique – volume: 42 start-page: 729 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0273 article-title: A continuum plasticity model for the constitutive and indentation behaviour of foamed metals publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(99)00021-1 – volume: 02 start-page: 489 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0215 article-title: Deformation of closed-cell foams incorporating the effect of inner gas pressure publication-title: Int J Appl Mech doi: 10.1142/S1758825110000627 – volume: 27 start-page: 1049 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0073 article-title: Attenuation or enhancement - A one-dimensional analysis on shock transmission in the solid phase of a cellular material publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(02)00016-7 – volume: 44 start-page: 311 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0126 article-title: The blast and impact loading of aluminium foam publication-title: Mater Des doi: 10.1016/j.matdes.2012.08.016 – volume: 46 start-page: 2139 year: 1998 ident: 10.1016/j.ijimpeng.2017.10.006_bib0033 article-title: Effects of solid distribution on the stiffness and strength of metallic foams publication-title: Acta Mater doi: 10.1016/S1359-6454(97)00421-7 – volume: 45 start-page: 104 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0213 article-title: Modelling of the multiaxial elasto-plastic behaviour of porous metals with internal gas pressure publication-title: Finite Elem Anal Des doi: 10.1016/j.finel.2008.07.007 – volume: 85 start-page: 93 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0293 article-title: High velocity impact mitigation with gradient cellular solids publication-title: Compos Part B doi: 10.1016/j.compositesb.2015.09.042 – volume: 541 start-page: 105 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0190 article-title: Analysis of anisotropy and strain rate sensitivity of open-cell metal foam publication-title: Mater Sci Eng doi: 10.1016/j.msea.2012.02.010 – ident: 10.1016/j.ijimpeng.2017.10.006_bib0248 – volume: 323 start-page: 358 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0128 article-title: Strain rate sensitivity and defects in steel foam publication-title: Mater Sci Eng doi: 10.1016/S0921-5093(01)01372-7 – volume: 47 start-page: 417 year: 2001 ident: 10.1016/j.ijimpeng.2017.10.006_bib0133 article-title: Strain rate effects on the compressive property and the energy-absorbing capacity of aluminum alloy foams publication-title: Mater Charact doi: 10.1016/S1044-5803(02)00194-8 – volume: 12 start-page: 585 year: 1992 ident: 10.1016/j.ijimpeng.2017.10.006_bib0224 article-title: Effects of nonhomogeneity, cell damage and strain-rate on impact crushing of a strain-softening cellular chain publication-title: Int J Impact Eng doi: 10.1016/0734-743X(92)90251-N – volume: 562 start-page: 83 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0243 article-title: On the mechanical properties of sintered metallic fibre structures publication-title: Mater Sci Eng doi: 10.1016/j.msea.2012.11.034 – volume: 543 start-page: 193 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0274 article-title: Loading rate effect on yield surface of aluminum alloy foams publication-title: Mater Sci Eng doi: 10.1016/j.msea.2012.02.074 – volume: 1 start-page: 85 year: 1983 ident: 10.1016/j.ijimpeng.2017.10.006_bib0151 article-title: Experimental investigation of inertia effects in one-dimensional metal ring systems subjected to end impact — I. Fixed-ended systems publication-title: Int J Impact Eng doi: 10.1016/0734-743X(83)90014-3 – volume: 46 start-page: 187 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0079 article-title: Architected cellular materials publication-title: Annu Rev Mater Res doi: 10.1146/annurev-matsci-070115-031624 – volume: 50 start-page: 3152 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0163 article-title: Mechanical behavior of hexagonal honeycombs under low-velocity impact – theory and simulations publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2013.05.017 – volume: 36 start-page: 165 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0020 article-title: Dynamic crushing of honeycombs and features of shock fronts publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2007.11.008 – volume: 52 start-page: 758 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0260 article-title: Blast attenuation in Cymat foam core sacrificial claddings publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2010.02.002 – volume: 3 start-page: 167 year: 1994 ident: 10.1016/j.ijimpeng.2017.10.006_bib0074 article-title: Shock wave interaction with cellular materials Part II: open cell foams; experimental and numerical results publication-title: Shock Waves doi: 10.1007/BF01414711 – volume: 47 start-page: 26 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0115 article-title: Measurement of strain rate sensitivity of aluminium foams for energy dissipation publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2004.12.007 – volume: 108 start-page: 153 year: 2017 ident: 10.1016/j.ijimpeng.2017.10.006_bib0049 article-title: On the dynamic compression of cellular materials with local structural softening publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2017.04.007 – volume: 48 start-page: 506 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0042 article-title: Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2010.10.018 – volume: 281 start-page: 1 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0131 article-title: Strain rate sensitivity of a closed-cell aluminum foam publication-title: Mater Sci Eng doi: 10.1016/S0921-5093(99)00750-9 – volume: 110 start-page: 185 year: 1988 ident: 10.1016/j.ijimpeng.2017.10.006_bib0222 article-title: Microdynamics of crushing in cellular solids publication-title: J Eng Mater Technol doi: 10.1115/1.3226029 – volume: 46 start-page: 635 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0207 article-title: On the crushing of aluminum open-cell foams: part II analysis publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2008.10.016 – volume: 49 start-page: 1413 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0085 article-title: Hierarchical honeycombs with tailorable properties publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2012.02.029 – volume: 96 start-page: 78 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0165 article-title: Modelling and characterization of cell collapse in aluminium foams during dynamic loading publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2016.05.020 – volume: 620 start-page: 253 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0114 article-title: Experimental investigation on the strain-rate effect and inertia effect of closed-cell aluminum foam subjected to dynamic loading publication-title: Mater Sci Eng doi: 10.1016/j.msea.2014.10.026 – volume: 08 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0253 article-title: Blast alleviation of cellular sacrificial cladding: a nonlinear plastic shock model publication-title: Int J Appl Mech doi: 10.1142/S1758825116500575 – volume: 47 start-page: 521 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0154 article-title: High rate crushing of wood along the grain publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2004.12.013 – volume: 525 start-page: 1 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0142 article-title: Compressive properties of a closed-cell aluminum foam as a function of strain rate and temperature publication-title: Mater Sci Eng doi: 10.1016/j.msea.2009.07.007 – volume: 16 start-page: 61 year: 1999 ident: 10.1016/j.ijimpeng.2017.10.006_bib0226 article-title: Mesoscopic simulation of inhomogeneous metallic foams with respect to energy absorption publication-title: Comput Mater Sci doi: 10.1016/S0927-0256(99)00046-4 – volume: 1 start-page: 213 year: 1991 ident: 10.1016/j.ijimpeng.2017.10.006_bib0160 article-title: Shock-wave equation-of-state studies at Los Alamos publication-title: Shock Waves doi: 10.1007/BF01413796 – volume: 39 start-page: 549 year: 1997 ident: 10.1016/j.ijimpeng.2017.10.006_bib0045 article-title: The effects of non-periodic microstructure and defects on the compressive strength of two-dimensional cellular solids publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(96)00065-3 – volume: 53 start-page: 597 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0236 article-title: Insight into the physics of foam densification via numerical simulation publication-title: J Mech Phys Solids doi: 10.1016/j.jmps.2004.09.003 – volume: 63 start-page: 50 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0034 article-title: Effect of entrapped gas on the dynamic compressive behaviour of cellular solids publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2015.02.034 – volume: 517 start-page: 37 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0103 article-title: Mechanical behaviour and energy absorption of closed-cell aluminium foam panels in uniaxial compression publication-title: Mater Sci Eng doi: 10.1016/j.msea.2009.03.067 – volume: 55 start-page: 501 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0181 article-title: Strain rate sensitivity and energy absorption of Zn–22Al foams publication-title: Scr Mater doi: 10.1016/j.scriptamat.2006.06.001 – volume: 61 start-page: 61 year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0148 article-title: Dynamics of metal foam deformation during Taylor cylinder-Hopkinson bar impact experiment publication-title: Compo Struct doi: 10.1016/S0263-8223(03)00039-4 – volume: 82 start-page: 59 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0249 article-title: A transport approach for analysis of shock waves in cellular materials publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2014.11.006 – volume: 29 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0011 article-title: Design of metal foam cladding subjected to close-range blast publication-title: J Perform Constr Facil doi: 10.1061/(ASCE)CF.1943-5509.0000606 – volume: 67 start-page: 1218 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0014 article-title: Triaxial compression of aluminium foams publication-title: Compos Sci Technol doi: 10.1016/j.compscitech.2006.05.005 – volume: 24 start-page: 277 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0064 article-title: High strain rate compressive behaviour of aluminium alloy foams publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(99)00153-0 – volume: 293 start-page: 157 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0143 article-title: High strain rate compression of closed-cell aluminium foams publication-title: Mater Sci Eng doi: 10.1016/S0921-5093(00)01219-3 – volume: 223 start-page: 150 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0173 article-title: Characterization of the three-dimensional structure of a metallic foam during compressive deformation publication-title: J Microsc doi: 10.1111/j.1365-2818.2006.01607.x – volume: 56 start-page: 5524 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0235 article-title: Modeling the properties of closed-cell cellular materials from tomography images using finite shell elements publication-title: Acta Mater doi: 10.1016/j.actamat.2008.07.023 – volume: 46 start-page: 3988 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0059 article-title: A numerical study on the rate sensitivity of cellular metals publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2009.07.024 – volume: 10 start-page: 5 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0268 article-title: Criteria for yielding or failure of cellular materials publication-title: J Sandwich Struct Mater doi: 10.1177/1099636207070997 – volume: 48 start-page: 1253 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0060 article-title: Isotropic constitutive models for metallic foams publication-title: J Mech Phys Solids doi: 10.1016/S0022-5096(99)00082-4 – volume: 51 start-page: 752 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0278 article-title: Large deflections of metallic sandwich and monolithic beams under locally impulsive loading publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2009.08.008 – volume: 10 start-page: 157 year: 1952 ident: 10.1016/j.ijimpeng.2017.10.006_bib0269 article-title: Soil mechanics and plastic analysis or limit design publication-title: Q Appl Math doi: 10.1090/qam/48291 – volume: 688 start-page: 27 year: 2017 ident: 10.1016/j.ijimpeng.2017.10.006_bib0021 article-title: Image-based correlation between the meso-scale structure and deformation of closed-cell foam publication-title: Mater Sci Eng doi: 10.1016/j.msea.2017.01.092 – volume: 47 start-page: 757 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0065 article-title: An experimental study on the behaviour under impact loading of metallic cellular materials publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2004.12.012 – volume: 88 start-page: 509 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0277 article-title: An analytical solution for the large deflections of a slender sandwich beam with a metallic foam core under transverse loading by a flat punch publication-title: Compos Struct doi: 10.1016/j.compstruct.2008.05.012 – volume: 53 start-page: 2638 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0237 article-title: Simulation of the densification of real open-celled foam microstructures publication-title: J Mech Phys Solids doi: 10.1016/j.jmps.2005.07.007 – volume: 100 start-page: 219 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0156 article-title: Dynamic crushing of cellular materials: a unique dynamic stress–strain state curve publication-title: Mech Mater doi: 10.1016/j.mechmat.2016.07.001 – volume: 44 start-page: 1880 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0241 article-title: Deformation behavior estimation of aluminum foam by X-ray CT image-based finite element analysis publication-title: Metall Mater Trans A doi: 10.1007/s11661-012-1532-7 – volume: 19 start-page: 439 year: 1997 ident: 10.1016/j.ijimpeng.2017.10.006_bib0047 article-title: Axial crush of metallic honeycombs publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(97)00004-3 – volume: 49 start-page: 741 year: 2003 ident: 10.1016/j.ijimpeng.2017.10.006_bib0132 article-title: Impact energy absorption in an Al foam at low velocities publication-title: Scr Mater doi: 10.1016/S1359-6462(03)00431-7 – volume: 72 start-page: 980 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0209 article-title: Closure to “discussion of ‘the resistance of clamped sandwich beams to shock loading publication-title: J Appl Mech doi: 10.1115/1.2040450 – volume: 2 start-page: 179 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0182 article-title: ALPORAS aluminum foam: production process, properties, and applications publication-title: Adv Eng Mater doi: 10.1002/(SICI)1527-2648(200004)2:4<179::AID-ADEM179>3.0.CO;2-G – volume: 341 start-page: 1219 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0297 article-title: Reversibly assembled cellular composite materials publication-title: Science doi: 10.1126/science.1240889 – volume: 55 start-page: 2652 year: 2007 ident: 10.1016/j.ijimpeng.2017.10.006_bib0013 article-title: Shock enhancement of cellular structures under impact loading: part I experiments publication-title: J Mech Phys Solids doi: 10.1016/j.jmps.2007.04.005 – volume: 10 start-page: 127 year: 1974 ident: 10.1016/j.ijimpeng.2017.10.006_bib0121 article-title: Mechanical behavior of foamed materials under dynamic compression publication-title: J Cell Plast doi: 10.1177/0021955X7401000306 – volume: 24 start-page: 907 year: 2000 ident: 10.1016/j.ijimpeng.2017.10.006_bib0194 article-title: Dynamic buckling of an imperfect elastic, visco-plastic plate publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(00)00007-5 – volume: 36 start-page: 98 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0038 article-title: The influence of cell micro-topology on the in-plane dynamic crushing of honeycombs publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2008.03.001 – volume: 49 start-page: 2763 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0172 article-title: Propagation of compaction waves in metal foams exhibiting strain hardening publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2012.03.012 – year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0219 article-title: Numerical simulation of the dynamic compression of a 6061-T6 aluminum metallic foam – volume: 598 start-page: 190 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0231 article-title: Undulation of the honeycombs׳ plateau stress under impact and the dynamic enhancement—Theoretical analysis publication-title: Mater Sci Eng doi: 10.1016/j.msea.2014.01.040 – volume: 528 start-page: 4550 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0238 article-title: Finite element analysis of the mechanical properties of cellular aluminium based on micro-computed tomography publication-title: Mater Sci Eng doi: 10.1016/j.msea.2011.02.031 – volume: 51 start-page: 1631 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0069 article-title: Dynamic crushing of aluminum foams: Part I – Experiments publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2013.11.019 – volume: 94 start-page: 66 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0083 article-title: Impact plastic crushing and design of density-graded cellular materials publication-title: Mech Mater doi: 10.1016/j.mechmat.2015.11.014 – volume: 41 start-page: 7399 year: 2004 ident: 10.1016/j.ijimpeng.2017.10.006_bib0265 article-title: Generalized continuum modeling of 2-D periodic cellular solids publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2004.06.038 – volume: 364 start-page: 15 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0078 article-title: The properties of foams and lattices publication-title: Philos Trans R Soc London. Ser A doi: 10.1098/rsta.2005.1678 – ident: 10.1016/j.ijimpeng.2017.10.006_bib0176 – volume: 18 start-page: 480 year: 2002 ident: 10.1016/j.ijimpeng.2017.10.006_bib0101 article-title: Inertia effects in uniaxial dynamic compression of a closed cell aluminium alloy foam publication-title: Mater Sci Technol doi: 10.1179/026708302225002092 – volume: 40 start-page: 921 year: 1999 ident: 10.1016/j.ijimpeng.2017.10.006_bib0130 article-title: Experimental study of energy absorption in a close-celled aluminum foam under dynamic loading publication-title: Scr Mater doi: 10.1016/S1359-6462(99)00038-X – volume: 43 start-page: 53 year: 2006 ident: 10.1016/j.ijimpeng.2017.10.006_bib0068 article-title: Deformation rate effects on failure modes of open-cell Al foams and textile cellular materials publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2005.06.101 – volume: 62 start-page: 48 year: 2013 ident: 10.1016/j.ijimpeng.2017.10.006_bib0109 article-title: Experimental investigation on dynamic constitutive behavior of aluminum foams by new inverse methods from wave propagation measurements publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2013.06.002 – volume: 46 start-page: 3929 year: 1998 ident: 10.1016/j.ijimpeng.2017.10.006_bib0032 article-title: The effects of cell face curvature and corrugations on the stiffness and strength of metallic foams publication-title: Acta Mater doi: 10.1016/S1359-6454(98)00072-X – volume: 225 start-page: 1361 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0035 article-title: Effects of statistics of cell's size and shape irregularity on mechanical properties of 2D and 3D Voronoi foams publication-title: Acta Mech doi: 10.1007/s00707-013-1054-4 – volume: 49 start-page: 2744 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0145 article-title: On the dynamic mechanical properties of open-cell metal foams – A re-assessment of the ‘simple-shock theory’ publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2012.03.026 – volume: 51 start-page: 478 year: 2014 ident: 10.1016/j.ijimpeng.2017.10.006_bib0023 article-title: On the local nature of the strain field calculation method for measuring heterogeneous deformation of cellular materials publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2013.10.019 – volume: 49 start-page: 2754 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0048 article-title: Inertia effects on the progressive crushing of aluminium honeycombs under impact loading publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2012.05.005 – volume: 25 start-page: 1231 year: 2009 ident: 10.1016/j.ijimpeng.2017.10.006_bib0214 article-title: Effect of inner gas pressure on the elastoplastic behavior of porous materials: a second-order moment micromechanics model publication-title: Int J Plast doi: 10.1016/j.ijplas.2008.10.001 – volume: 91 start-page: 64 year: 2015 ident: 10.1016/j.ijimpeng.2017.10.006_bib0258 article-title: Air-blast response of cellular material with a face plate: an analytical–numerical approach publication-title: Int J Mech Sci doi: 10.1016/j.ijmecsci.2014.03.027 – volume: 49 start-page: 189 year: 2001 ident: 10.1016/j.ijimpeng.2017.10.006_bib0227 article-title: Elastic moduli of model random three-dimensional closed-cell cellular solids publication-title: Acta Mater doi: 10.1016/S1359-6454(00)00314-1 – volume: 31 start-page: 1152 year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0147 article-title: The use of metal foam projectiles to simulate shock loading on a structure publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2004.07.012 – volume: 15 start-page: 1100 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0087 article-title: Multiscale metallic metamaterials publication-title: Nat Mater doi: 10.1038/nmat4694 – volume: 26 start-page: 689 year: 1984 ident: 10.1016/j.ijimpeng.2017.10.006_bib0058 article-title: Strain-rate and inertia effects in the collapse of two types of energy-absorbing structure publication-title: Int J Mech Sci doi: 10.1016/0020-7403(84)90021-3 – volume: 42 start-page: 163 year: 2012 ident: 10.1016/j.ijimpeng.2017.10.006_bib0234 article-title: X-ray tomography applied to the characterization of highly porous materials publication-title: Annu Rev Mater Res doi: 10.1146/annurev-matsci-070511-155106 – volume: 44 start-page: 415 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0099 article-title: Degradation of elastic modulus of progressively crushable foams in uniaxial compression publication-title: J Cell Plast doi: 10.1177/0021955X08095113 – volume: 31 start-page: 665 year: 1989 ident: 10.1016/j.ijimpeng.2017.10.006_bib0275 article-title: Failure surfaces for cellular materials under multiaxial loads—II. Comparison of models with experiment publication-title: Int J Mech Sci doi: 10.1016/S0020-7403(89)80002-5 – volume: 21 start-page: 827 year: 1998 ident: 10.1016/j.ijimpeng.2017.10.006_bib0139 article-title: Crushing behaviour of aluminium honeycombs under impact loading publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(98)00034-7 – volume: 21 start-page: 369 year: 1998 ident: 10.1016/j.ijimpeng.2017.10.006_bib0122 article-title: Constitutive modeling of polymeric foam material subjected to dynamic crash loading publication-title: Int J Impact Eng doi: 10.1016/S0734-743X(97)00087-0 – volume: 37 start-page: 467 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0230 article-title: Dynamic crushing strength of hexagonal honeycombs publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2009.12.001 – volume: 46 start-page: 1035 year: 2008 ident: 10.1016/j.ijimpeng.2017.10.006_bib0039 article-title: Mechanical response of cellular solids: role of cellular topology and microstructural irregularity publication-title: Int J Eng Sci doi: 10.1016/j.ijengsci.2008.03.012 – year: 2005 ident: 10.1016/j.ijimpeng.2017.10.006_bib0276 – volume: 96 start-page: 35 year: 2016 ident: 10.1016/j.ijimpeng.2017.10.006_bib0283 article-title: A theoretical study of low-velocity impact of geometrically asymmetric sandwich beams publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2016.05.011 – volume: 46 start-page: 3583 year: 1998 ident: 10.1016/j.ijimpeng.2017.10.006_bib0031 article-title: Compressive deformation and yielding mechanisms in cellular Al alloys determined using X-ray tomography and surface strain mapping publication-title: Acta Mater doi: 10.1016/S1359-6454(98)00025-1 – volume: 50 start-page: 1353 year: 2011 ident: 10.1016/j.ijimpeng.2017.10.006_bib0125 article-title: Numerical and experimental studies of polyurethane foam under impact loading publication-title: Comput Mater Sci doi: 10.1016/j.commatsci.2010.11.025 – volume: 92 start-page: 2285 year: 2010 ident: 10.1016/j.ijimpeng.2017.10.006_bib0281 article-title: FEM analysis of dynamic flexural behaviour of composite sandwich beams with foam core publication-title: Compos Struct doi: 10.1016/j.compstruct.2009.07.018 – volume: 27 start-page: 294 year: 1864 ident: 10.1016/j.ijimpeng.2017.10.006_bib0200 article-title: On the calculation of the equilibrium and stiffness of frames publication-title: Philos Mag doi: 10.1080/14786446408643668 |
SSID | ssj0017050 |
Score | 2.6377778 |
SecondaryResourceType | review_article |
Snippet | •Dynamic plastic properties, deformation modes, constitutive relations and shock states are described.•Experimental observations in the quasi-static,... Dynamic compressive behaviour of cellular materials is crucial to their applications in energy absorption, ballistic mitigation and blast/impact protection.... |
SourceID | proquest crossref elsevier |
SourceType | Aggregation Database Enrichment Source Index Database Publisher |
StartPage | 74 |
SubjectTerms | Cellular structure Compressive properties Deformation Deformation mechanisms Dynamic compressive behaviour Energy absorption Foam Honeycomb Impact velocity Lattice material Loading rate Material properties Mathematical models Mesoscale phenomena Modelling Multiscale analysis Shock Strain rate sensitivity Strain-rate effect Stress-strain curves Wood |
Title | Dynamic compressive behaviour of cellular materials: A review of phenomenon, mechanism and modelling |
URI | https://dx.doi.org/10.1016/j.ijimpeng.2017.10.006 https://www.proquest.com/docview/2067364230 |
Volume | 112 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELaqssCAeIpCqTwwkraJH3HYqkJVQHSBSt0iO7ZRKvpQH4z8dnx5VAUJdWCMYyfW-Xx3tr77DqEbzWwYGaE8oizzqJLS7bko8HgCbG2KGpmhKl8GvD-kTyM2qqBumQsDsMrC9uc2PbPWRUurkGZrnqatV6ec1Pm_kQ9KyjkkmlMagpY3vzYwD2CLye5ZXGcPem9lCY-b6Th1wen0HSBeYTNHef3loH6Z6sz_9I7QYRE44k4-t2NUMdMTdLBFJ3iK9H1eXh4DTjzDt34aXOThrxd4ZjFc0wPuFLs4NVe9O9zBefoKvAfAF1AyzKa3eGIgKThdTrCcapxVzIHU9TM07D28dfteUUXBS4gQK49yIhnRpk2tsIxH2sWEJEiUtFzzQHLmh0KyxElA6VCxQHDlC-O2caCE4cIn56jqfmsuEKY2IkQD65Q7tVkbKhkqEShfWc40C8IaYqXo4qSgGIdKFx9xiSUbx6XIYxA5tDuR11BrM26ek2zsHBGVKxP_UJfYeYKdY-vlUsbFhl3GwGJP3FmMtC__8ekrtO-eRI7qrqPqarE21y5oWalGppUNtNd5fO4PvgHIZO2g |
linkProvider | Elsevier |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT8MwDLZgHIAD4ine5MCRsrVp0pTbxEPjtQsg7RYlTYI6wUDb4PcTtykCJMSBa1K3lePYTvv5M8ChYS7LrdAR1Y5FqVbK77k8iXiBbG06tapCVd72ee8hvRqwwQycNrUwCKsMvr_26ZW3DiPtoM32a1m277xxpj7-DWI0Us7ZLMwhOxVrwVz38rrX__yZkHWqRq14fYQCXwqFh8flsPT56egRUV7ZcQ30-i1G_fDWVQi6WIalkDuSbv16KzBjR6uw-IVRcA3MWd1hniBUvIK4vlsSSvHfxuTFEfxSj9BT4lPV2vpOSJfUFSw4j5gvZGV4GR2RZ4t1weXkmaiRIVXTHKxeX4eHi_P7014UGilEBRViGqWcKkaN7aROOMZz49NCmhRaOW54ojiLM6FY4TWgTaZZIriOhfU7OdHCchHTDWj5x9pNIKnLKTVIPOUPbs5lWmVaJDrWjjPDkmwLWKM6WQSWcWx28SQbONlQNiqXqHIc9yrfgvan3GvNs_GnRN6sjPxmMdIHgz9ld5ullGHPTiQS2VN_HKOd7X_c-gDme_e3N_Lmsn-9Awt-RtQg711oTcdvds_nMFO9H2z0A-1q8FE |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Dynamic+compressive+behaviour+of+cellular+materials%3A+A+review+of+phenomenon%2C+mechanism+and+modelling&rft.jtitle=International+journal+of+impact+engineering&rft.au=Sun%2C+Yongle&rft.au=Li%2C+Q.M.&rft.date=2018-02-01&rft.pub=Elsevier+Ltd&rft.issn=0734-743X&rft.eissn=1879-3509&rft.volume=112&rft.spage=74&rft.epage=115&rft_id=info:doi/10.1016%2Fj.ijimpeng.2017.10.006&rft.externalDocID=S0734743X17301665 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0734-743X&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0734-743X&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0734-743X&client=summon |