Quadramode materials: Their design method and wave property
[Display omitted] •Wave characteristics of different quadramode materials according to material symmetry are systematically investigated.•A quadramode material supporting any combination of two shear stresses is proposed and validated for the first time.•An out-of-plane shear (SH) wave polarizer is...
Saved in:
| Published in | Materials & design Vol. 210; p. 110031 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
15.11.2021
Elsevier |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | [Display omitted]
•Wave characteristics of different quadramode materials according to material symmetry are systematically investigated.•A quadramode material supporting any combination of two shear stresses is proposed and validated for the first time.•An out-of-plane shear (SH) wave polarizer is constructed with the proposed quadramode material.
Extremal materials with certain vanishing eigenvalues of their elastic matrix are able to manipulate elastic wave with their extremal static property, the devices designed with such materials can work in a broad frequency band, which is highly demanded in low frequency applications. A type of extremal materials with four zero eigenvalues called quadramode (QM) materials is the subject of this investigation. Wave properties of different QM materials, particularly their capacity on shaping iso-frequency curves, are firstly examined with homogeneous models. A three-dimensional QM material is then designed using a truss lattice model. The designed lattice is validated through comparison between the homogeneous and discrete models on their prediction on iso-frequency curves and polarizations. An out-of-plane shear (SH) wave polarizer is proposed with the designed QM material, it can effectively prevent the mode conversion at interface with fluids. This unique property is further explored for waterborne sound isolation, a prototype of this polarizer is also proposed and demonstrated through numerical simulation. This study paves the way for exploring the exotic wave properties of QM extremal materials, and opens a new route to control low frequency elastic wave. |
|---|---|
| AbstractList | Extremal materials with certain vanishing eigenvalues of their elastic matrix are able to manipulate elastic wave with their extremal static property, the devices designed with such materials can work in a broad frequency band, which is highly demanded in low frequency applications. A type of extremal materials with four zero eigenvalues called quadramode (QM) materials is the subject of this investigation. Wave properties of different QM materials, particularly their capacity on shaping iso-frequency curves, are firstly examined with homogeneous models. A three-dimensional QM material is then designed using a truss lattice model. The designed lattice is validated through comparison between the homogeneous and discrete models on their prediction on iso-frequency curves and polarizations. An out-of-plane shear (SH) wave polarizer is proposed with the designed QM material, it can effectively prevent the mode conversion at interface with fluids. This unique property is further explored for waterborne sound isolation, a prototype of this polarizer is also proposed and demonstrated through numerical simulation. This study paves the way for exploring the exotic wave properties of QM extremal materials, and opens a new route to control low frequency elastic wave. [Display omitted] •Wave characteristics of different quadramode materials according to material symmetry are systematically investigated.•A quadramode material supporting any combination of two shear stresses is proposed and validated for the first time.•An out-of-plane shear (SH) wave polarizer is constructed with the proposed quadramode material. Extremal materials with certain vanishing eigenvalues of their elastic matrix are able to manipulate elastic wave with their extremal static property, the devices designed with such materials can work in a broad frequency band, which is highly demanded in low frequency applications. A type of extremal materials with four zero eigenvalues called quadramode (QM) materials is the subject of this investigation. Wave properties of different QM materials, particularly their capacity on shaping iso-frequency curves, are firstly examined with homogeneous models. A three-dimensional QM material is then designed using a truss lattice model. The designed lattice is validated through comparison between the homogeneous and discrete models on their prediction on iso-frequency curves and polarizations. An out-of-plane shear (SH) wave polarizer is proposed with the designed QM material, it can effectively prevent the mode conversion at interface with fluids. This unique property is further explored for waterborne sound isolation, a prototype of this polarizer is also proposed and demonstrated through numerical simulation. This study paves the way for exploring the exotic wave properties of QM extremal materials, and opens a new route to control low frequency elastic wave. |
| ArticleNumber | 110031 |
| Author | Wei, Yu Hu, Gengkai Liu, Xiaoning |
| Author_xml | – sequence: 1 givenname: Yu surname: Wei fullname: Wei, Yu – sequence: 2 givenname: Xiaoning surname: Liu fullname: Liu, Xiaoning – sequence: 3 givenname: Gengkai surname: Hu fullname: Hu, Gengkai email: hugeng@bit.edu.cn |
| BookMark | eNqFkNtKxDAQQIMouF7-wIf-QNdMLk2qIIh4A0EEfQ5jMtUsu82SRsW_t1p98UGfAkPOYebssM0-9cTYAfA5cGgOF_MVlkDDXHABcwDOJWywGVgjawWt2WQzLhpVgzB6m-0Mw4JzIYxUM3Z894Ih4yoFqkYJ5YjL4ai6f6aYq1EZn_pqReU5hQr7UL3hK1XrnNaUy_se2-rG37T__e6yh4vz-7Or-ub28vrs9Kb2CmypURul0ZsueMTGamq1kI_aWq-hs4TWQkeW2kZoQ8KIICUPBiQJpSRpK3fZ9eQNCRduneMK87tLGN3XIOUnh7lEvyTXSA9tq7QHbZUS0Aag1mCDIZgGOjm6jiaXz2kYMnXOx4Ilpr5kjEsH3H0mdQs3JXWfSd2UdITVL_hnmX-wkwmjMdJrpOwGH6n3FGImX8Yr4t-CD6Rlkuc |
| CitedBy_id | crossref_primary_10_1016_j_ijmecsci_2024_109684 crossref_primary_10_1016_j_matdes_2022_110657 crossref_primary_10_1038_s41467_023_36975_2 crossref_primary_10_3390_polym15071680 crossref_primary_10_1016_j_ijsolstr_2024_112648 crossref_primary_10_1016_j_jmps_2024_105842 crossref_primary_10_1007_s00339_023_06386_7 crossref_primary_10_1016_j_eml_2022_101789 crossref_primary_10_1103_PhysRevLett_134_086101 crossref_primary_10_1115_1_4056316 crossref_primary_10_1007_s10483_024_3161_6 crossref_primary_10_1002_adma_202211801 crossref_primary_10_1002_adma_202307553 |
| Cites_doi | 10.1016/0020-7683(86)90014-4 10.1016/j.jmps.2012.08.011 10.1016/S0022-5096(02)00107-2 10.1038/srep15745 10.1002/adts.201900182 10.1038/s41567-020-0795-y 10.1038/s41598-017-13322-2 10.1063/1.4838663 10.1103/PhysRevB.86.155116 10.1016/j.jmps.2019.05.002 10.1023/A:1006781224002 10.1063/1.3597651 10.1016/j.jmps.2016.11.010 10.1103/PhysRevB.95.180104 10.1098/rspa.2014.0522 10.1016/j.jmps.2021.104407 10.1063/1.4709436 10.1038/ncomms6510 10.1016/j.jmps.2019.103796 10.1038/ncomms5130 10.1080/14786446408643668 10.1038/nmat1644 10.1098/rspa.2008.0076 10.1063/5.0005408 10.1016/j.jmps.2012.08.012 10.1016/j.ijmecsci.2020.106131 10.1016/0020-7683(78)90052-5 10.1109/84.585787 10.1103/PhysRevLett.103.205503 10.1115/1.2804743 10.1103/PhysRevLett.111.024302 10.1016/j.jmps.2005.10.008 10.1016/0020-7683(93)90210-X |
| ContentType | Journal Article |
| Copyright | 2021 The Authors |
| Copyright_xml | – notice: 2021 The Authors |
| DBID | 6I. AAFTH AAYXX CITATION DOA |
| DOI | 10.1016/j.matdes.2021.110031 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef DOAJ Open Access Full Text |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1873-4197 |
| ExternalDocumentID | oai_doaj_org_article_63c19945c15844219d1e97a6add761f3 10_1016_j_matdes_2021_110031 S0264127521005864 |
| GroupedDBID | --K --M -~X .~1 0SF 1B1 1~. 4.4 457 4G. 5GY 5VS 6I. 7-5 8P~ 9JN AABNK AABXZ AACTN AAEDT AAEDW AAFTH AAIAV AAKOC AALRI AAOAW AAQFI AAXUO ABMAC ABYKQ ACDAQ ACGFS ACRLP ADBBV ADEZE AEBSH AEKER AEZYN AFKWA AFRZQ AFTJW AGHFR AGUBO AHJVU AIEXJ AIKHN AITUG AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AXJTR BCNDV BJAXD BKOJK BLXMC EBS EFJIC EO8 EO9 EP2 EP3 F5P FDB FIRID FNPLU FYGXN G-Q GBLVA GROUPED_DOAJ IHE J1W KOM M41 MO0 NCXOZ OAUVE OK1 P2P PC. Q38 ROL SDF SDG SDP SPC SSM SST SSZ T5K ~G- 0R~ 29M AAQXK AATTM AAXKI AAYWO AAYXX ABJNI ABWVN ABXDB ACRPL ACVFH ADCNI ADMUD ADNMO ADVLN AEIPS AEUPX AFJKZ AFPUW AFXIZ AGCQF AGQPQ AGRNS AHHHB AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN BNPGV CITATION EJD FEDTE FGOYB G-2 HVGLF HZ~ JJJVA MAGPM O9- P-8 P-9 R2- RIG RNS RPZ SEW SMS SSH WUQ EFKBS |
| ID | FETCH-LOGICAL-c418t-a5745ac7fdcaa685e9523b588c51f8ea881fe8e96257e272d330d713e2443e583 |
| IEDL.DBID | DOA |
| ISSN | 0264-1275 |
| IngestDate | Wed Aug 27 01:29:45 EDT 2025 Thu Apr 24 23:00:52 EDT 2025 Tue Jul 01 02:24:03 EDT 2025 Fri Feb 23 02:41:19 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Extremal material Elastic wave Microstructure design Waterborne sound isolation Quadramode |
| Language | English |
| License | This is an open access article under the CC BY-NC-ND license. |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c418t-a5745ac7fdcaa685e9523b588c51f8ea881fe8e96257e272d330d713e2443e583 |
| OpenAccessLink | https://doaj.org/article/63c19945c15844219d1e97a6add761f3 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_63c19945c15844219d1e97a6add761f3 crossref_citationtrail_10_1016_j_matdes_2021_110031 crossref_primary_10_1016_j_matdes_2021_110031 elsevier_sciencedirect_doi_10_1016_j_matdes_2021_110031 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2021-11-15 |
| PublicationDateYYYYMMDD | 2021-11-15 |
| PublicationDate_xml | – month: 11 year: 2021 text: 2021-11-15 day: 15 |
| PublicationDecade | 2020 |
| PublicationTitle | Materials & design |
| PublicationYear | 2021 |
| Publisher | Elsevier Ltd Elsevier |
| Publisher_xml | – name: Elsevier Ltd – name: Elsevier |
| References | Fang, Xi, Xu, Ambati, Srituravanich, Sun, Zhang (b0010) 2006; 5 Norris (b0070) 2008; 464 Souslov, Liu, Lubensky (b0185) 2009; 103 Grima, Evans (b0120) 2000; 19 Chen, Zheng, Liu, Bi, Sun, Xiang, Yang, Hu (b0065) 2017; 95 Achenbach (b0135) 2012 Zhang, Kang, Wang, Wu (b0165) 2020; 3 Norris (b0080) 2014; 470 Bückmann, Thiel, Kadic, Schittny, Wegener (b0100) 2014; 5 Zhu, Liu, Hu, Sun, Huang (b0020) 2014; 5 Martin, Kadic, Schittny, Bückmann, Wegener (b0175) 2012; 86 Milton (b0130) 2013; 61 Calladine (b0145) 1978; 14 Kadic, Bückmann, Stenger, Thiel, Wegener (b0055) 2012; 100 Dong, Zhao, Miao, Shen, Zhang, Zhao, Zhang, Wang, Cheng (b0090) 2021; 152 Scheibner, Souslov, Banerjee, Surówka, Irvine, Vitelli (b0040) 2020; 16 Chen, Liu, Hu (b0060) 2015; 5 Pellegrino, Calladine (b0195) 1986; 22 Zhang, Chen, Liu, Hu (b0035) 2020; 135 Guest, Hutchinson (b0180) 2003; 51 Cheng, Zhou, Hu (b0085) 2017; 7 Nassar, Chen, Huang (b0030) 2019; 129 Milton, Cherkaev (b0045) 1995; 117 Larsen, Sigmund, Bouwstra (b0115) 1997; 6 Liu, Hu, Huang, Sun (b0015) 2011; 98 J.C. Maxwell, On the calculation of the equilibrium and stiffness of frames, Philos. Mag. 27 (1864), 294–299 (Paper XXVI in Collected papers, Cambridge 1890). Fraternali, Amendola (b0110) 2017; 99 Nassar, Chen, Huang (b0025) 2018; 474 Schittny, Bückmann, Kadic, Wegener (b0170) 2013; 103 L.D. Landau, E.M. Lifshitz, J.B. Sykes, W.H. Reid, Theory of elasticity: Vol. 7 of Course of Theoretical Physics, Pergamon, Oxford, 1986, pp. xv + 35 (ISBN: 0-08-033916-6). Layman, Naify, Martin, Calvo, Orris (b0075) 2013; 111 G.W. Milton, The Theory of Composites, Cambridge University Press, Cambridge, United Kingdom, 2002, pp. xxviii + 719. (ISBN: 0-521-78125-6 (LCCNTA418.9.C6M58 2001)). Li, Luo, Zhang, Wang (b0095) 2021; 202 Lubensky, Kane, Mao, Souslov, Sun (b0150) 2015; 78 Jo, Xia, Moura, Yoon, Shin, Erturk, Youn (b0160) 2021; 192 Zheng, Park, Liu, Zhu, Hu, Kim (b0105) 2020; 116 Pellegrino (b0190) 1993; 30 Milton (b0125) 2013; 61 Hutchinson, Fleck (b0155) 2006; 54 Milton (10.1016/j.matdes.2021.110031_b0125) 2013; 61 Schittny (10.1016/j.matdes.2021.110031_b0170) 2013; 103 Guest (10.1016/j.matdes.2021.110031_b0180) 2003; 51 Norris (10.1016/j.matdes.2021.110031_b0080) 2014; 470 Dong (10.1016/j.matdes.2021.110031_b0090) 2021; 152 Fang (10.1016/j.matdes.2021.110031_b0010) 2006; 5 10.1016/j.matdes.2021.110031_b0050 Nassar (10.1016/j.matdes.2021.110031_b0030) 2019; 129 Zhang (10.1016/j.matdes.2021.110031_b0035) 2020; 135 Lubensky (10.1016/j.matdes.2021.110031_b0150) 2015; 78 Layman (10.1016/j.matdes.2021.110031_b0075) 2013; 111 Martin (10.1016/j.matdes.2021.110031_b0175) 2012; 86 Scheibner (10.1016/j.matdes.2021.110031_b0040) 2020; 16 Achenbach (10.1016/j.matdes.2021.110031_b0135) 2012 Li (10.1016/j.matdes.2021.110031_b0095) 2021; 202 Hutchinson (10.1016/j.matdes.2021.110031_b0155) 2006; 54 Milton (10.1016/j.matdes.2021.110031_b0045) 1995; 117 Chen (10.1016/j.matdes.2021.110031_b0065) 2017; 95 Cheng (10.1016/j.matdes.2021.110031_b0085) 2017; 7 Norris (10.1016/j.matdes.2021.110031_b0070) 2008; 464 Fraternali (10.1016/j.matdes.2021.110031_b0110) 2017; 99 Larsen (10.1016/j.matdes.2021.110031_b0115) 1997; 6 Nassar (10.1016/j.matdes.2021.110031_b0025) 2018; 474 Chen (10.1016/j.matdes.2021.110031_b0060) 2015; 5 10.1016/j.matdes.2021.110031_b0005 Souslov (10.1016/j.matdes.2021.110031_b0185) 2009; 103 Zhu (10.1016/j.matdes.2021.110031_b0020) 2014; 5 Pellegrino (10.1016/j.matdes.2021.110031_b0195) 1986; 22 10.1016/j.matdes.2021.110031_b0140 Bückmann (10.1016/j.matdes.2021.110031_b0100) 2014; 5 Milton (10.1016/j.matdes.2021.110031_b0130) 2013; 61 Liu (10.1016/j.matdes.2021.110031_b0015) 2011; 98 Pellegrino (10.1016/j.matdes.2021.110031_b0190) 1993; 30 Calladine (10.1016/j.matdes.2021.110031_b0145) 1978; 14 Zhang (10.1016/j.matdes.2021.110031_b0165) 2020; 3 Kadic (10.1016/j.matdes.2021.110031_b0055) 2012; 100 Jo (10.1016/j.matdes.2021.110031_b0160) 2021; 192 Grima (10.1016/j.matdes.2021.110031_b0120) 2000; 19 Zheng (10.1016/j.matdes.2021.110031_b0105) 2020; 116 |
| References_xml | – volume: 152 year: 2021 ident: b0090 article-title: Customized broadband pentamode metamaterials by topology optimization publication-title: J. Mech. Phys. Solids. – reference: G.W. Milton, The Theory of Composites, Cambridge University Press, Cambridge, United Kingdom, 2002, pp. xxviii + 719. (ISBN: 0-521-78125-6 (LCCNTA418.9.C6M58 2001)). – volume: 474 start-page: 20180523 year: 2018 ident: b0025 article-title: A degenerate polar lattice for cloaking in full two-dimensional elastodynamics and statics publication-title: Proc. R. Soc. A Math. Phys. Eng. Sci. – volume: 6 start-page: 99 year: 1997 end-page: 106 ident: b0115 article-title: Design and fabrication of compliant micro-mechanisms and structures with negative Poisson’s ratio publication-title: J. Microelectromech. Syst. – volume: 5 start-page: 15745 year: 2015 ident: b0060 article-title: Latticed pentamode acoustic cloak publication-title: Sci. Rep.-UK – volume: 111 year: 2013 ident: b0075 article-title: Highly Anisotropic Elements for Acoustic Pentamode Application publication-title: Phys. Rev. Lett. – volume: 117 start-page: 483 year: 1995 end-page: 493 ident: b0045 article-title: Which elasticity tensors are realizable? publication-title: J. Eng. Mater. Technol. ASME. – volume: 202 year: 2021 ident: b0095 article-title: Topological design of pentamode lattice metamaterials using a ground structure method publication-title: Mater. Design. – volume: 3 start-page: 1900182 year: 2020 ident: b0165 article-title: Isotropic “Quasi-Fluid” Metamaterials Designed by Topology Optimization publication-title: Adv. Theor. Simul. – reference: J.C. Maxwell, On the calculation of the equilibrium and stiffness of frames, Philos. Mag. 27 (1864), 294–299 (Paper XXVI in Collected papers, Cambridge 1890). – volume: 470 start-page: 20140522 year: 2014 ident: b0080 article-title: Mechanics of elastic networks publication-title: Proc. R. Soc. A. – volume: 16 start-page: 475 year: 2020 end-page: 480 ident: b0040 article-title: Odd elasticity publication-title: Nat. Phys. – volume: 464 start-page: 2411 year: 2008 end-page: 2434 ident: b0070 article-title: Acoustic cloaking theory publication-title: Proc. R. Soc. A. – volume: 99 start-page: 259 year: 2017 end-page: 271 ident: b0110 article-title: Mechanical modeling of innovative metamaterials alternating pentamode lattices and confinement plates publication-title: J. Mech. Phys. Solids. – volume: 14 start-page: 161 year: 1978 end-page: 172 ident: b0145 article-title: Buckminster Fuller tensegrity structures and Clerk Maxwell rules for the construction of stiff frames publication-title: Int. J. Solids. Struct. – volume: 51 start-page: 383 year: 2003 end-page: 391 ident: b0180 article-title: On the determinacy of repetitive structures publication-title: J. Mech. Phys. Solids. – volume: 129 start-page: 229 year: 2019 end-page: 243 ident: b0030 article-title: Isotropic polar solids for conformal transformation elasticity and cloaking publication-title: J. Mech. Phys. Solids. – volume: 103 year: 2009 ident: b0185 article-title: Elasticity and response in nearly isostatic periodic lattices publication-title: Phys. Rev. Lett. – volume: 5 start-page: 4130 year: 2014 ident: b0100 article-title: An elasto-mechanical unfeelability cloak made of pentamode metamaterials publication-title: Nat. Commun. – year: 2012 ident: b0135 article-title: Wave Propagation in Elastic Solid – volume: 7 start-page: 13197 year: 2017 ident: b0085 article-title: Broadband dual-anisotropic solid metamaterials publication-title: Sci. Rep.-UK – volume: 103 start-page: 231905 year: 2013 ident: b0170 article-title: Elastic measurements on macroscopic three-dimensional pentamode metamaterials publication-title: Appl. Phys. Lett. – volume: 98 year: 2011 ident: b0015 article-title: An elastic metamaterial with simultaneously negative mass density and bulk modulus publication-title: Appl. Phys. Lett. – volume: 54 start-page: 756 year: 2006 end-page: 782 ident: b0155 article-title: The structural performance of the periodic truss publication-title: J. Mech. Phys. Solids. – volume: 95 start-page: 180104(R) year: 2017 ident: b0065 article-title: Broadband solid cloak for underwater acoustics publication-title: Phys. Rev. B. – reference: L.D. Landau, E.M. Lifshitz, J.B. Sykes, W.H. Reid, Theory of elasticity: Vol. 7 of Course of Theoretical Physics, Pergamon, Oxford, 1986, pp. xv + 35 (ISBN: 0-08-033916-6). – volume: 19 start-page: 1563 year: 2000 end-page: 1565 ident: b0120 article-title: Auxetic behavior from rotating squares publication-title: J. Mater. Sci. Lett. – volume: 22 start-page: 409 year: 1986 end-page: 428 ident: b0195 article-title: Matrix analysis of statically and kinematically indeterminate frameworks publication-title: Int. J. Solids. Struct. – volume: 30 start-page: 3025 year: 1993 end-page: 3035 ident: b0190 article-title: Structural computations with the singular value decomposition of the equilibrium matrix publication-title: Int. J. Solids. Struct. – volume: 5 start-page: 5510 year: 2014 ident: b0020 article-title: Negative refraction of elastic waves at the deep-subwavelength scale in a single-phase metamaterial publication-title: Nat. Commun. – volume: 100 start-page: 191901 year: 2012 ident: b0055 article-title: On the practicability of pentamode mechanical metamaterials publication-title: Appl. Phys. Lett – volume: 61 start-page: 1543 year: 2013 end-page: 1560 ident: b0125 article-title: Complete characterization of the macroscopic deformations of periodic unimode metamaterials of rigid bars and pivots publication-title: J. Mech. Phys. Solids. – volume: 5 start-page: 452 year: 2006 end-page: 456 ident: b0010 article-title: Ultrasonic metamaterials with negative modulus publication-title: Nat. Mater. – volume: 192 year: 2021 ident: b0160 article-title: Experimentally validated broadband self-collimation of elastic waves publication-title: Int. J. Mech. Sci. – volume: 78 year: 2015 ident: b0150 article-title: Phonons and elasticity in critically coordinated lattices publication-title: Rep. Prog. Phys. – volume: 86 year: 2012 ident: b0175 article-title: Phonon band structures of three-dimensional pentamode metamaterials publication-title: Phys. Rev. B. – volume: 116 year: 2020 ident: b0105 article-title: Non-resonant metasurface for broadband elastic wave mode splitting publication-title: Appl. Phys. Lett. – volume: 135 year: 2020 ident: b0035 article-title: An asymmetric elastic metamaterial model for elastic wave cloaking publication-title: J. Mech. Phys. Solids. – volume: 61 start-page: 1561 year: 2013 end-page: 1568 ident: b0130 article-title: Adaptable nonlinear bimode metamaterials using rigid bars, pivots, and actuators publication-title: J. Mech. Phys. Solids. – volume: 22 start-page: 409 issue: 4 year: 1986 ident: 10.1016/j.matdes.2021.110031_b0195 article-title: Matrix analysis of statically and kinematically indeterminate frameworks publication-title: Int. J. Solids. Struct. doi: 10.1016/0020-7683(86)90014-4 – volume: 61 start-page: 1543 issue: 7 year: 2013 ident: 10.1016/j.matdes.2021.110031_b0125 article-title: Complete characterization of the macroscopic deformations of periodic unimode metamaterials of rigid bars and pivots publication-title: J. Mech. Phys. Solids. doi: 10.1016/j.jmps.2012.08.011 – volume: 51 start-page: 383 year: 2003 ident: 10.1016/j.matdes.2021.110031_b0180 article-title: On the determinacy of repetitive structures publication-title: J. Mech. Phys. Solids. doi: 10.1016/S0022-5096(02)00107-2 – volume: 5 start-page: 15745 year: 2015 ident: 10.1016/j.matdes.2021.110031_b0060 article-title: Latticed pentamode acoustic cloak publication-title: Sci. Rep.-UK doi: 10.1038/srep15745 – volume: 3 start-page: 1900182 year: 2020 ident: 10.1016/j.matdes.2021.110031_b0165 article-title: Isotropic “Quasi-Fluid” Metamaterials Designed by Topology Optimization publication-title: Adv. Theor. Simul. doi: 10.1002/adts.201900182 – ident: 10.1016/j.matdes.2021.110031_b0050 – volume: 474 start-page: 20180523 year: 2018 ident: 10.1016/j.matdes.2021.110031_b0025 article-title: A degenerate polar lattice for cloaking in full two-dimensional elastodynamics and statics publication-title: Proc. R. Soc. A Math. Phys. Eng. Sci. – volume: 16 start-page: 475 issue: 4 year: 2020 ident: 10.1016/j.matdes.2021.110031_b0040 article-title: Odd elasticity publication-title: Nat. Phys. doi: 10.1038/s41567-020-0795-y – volume: 7 start-page: 13197 year: 2017 ident: 10.1016/j.matdes.2021.110031_b0085 article-title: Broadband dual-anisotropic solid metamaterials publication-title: Sci. Rep.-UK doi: 10.1038/s41598-017-13322-2 – volume: 103 start-page: 231905 issue: 23 year: 2013 ident: 10.1016/j.matdes.2021.110031_b0170 article-title: Elastic measurements on macroscopic three-dimensional pentamode metamaterials publication-title: Appl. Phys. Lett. doi: 10.1063/1.4838663 – volume: 78 year: 2015 ident: 10.1016/j.matdes.2021.110031_b0150 article-title: Phonons and elasticity in critically coordinated lattices publication-title: Rep. Prog. Phys. – volume: 86 year: 2012 ident: 10.1016/j.matdes.2021.110031_b0175 article-title: Phonon band structures of three-dimensional pentamode metamaterials publication-title: Phys. Rev. B. doi: 10.1103/PhysRevB.86.155116 – volume: 129 start-page: 229 year: 2019 ident: 10.1016/j.matdes.2021.110031_b0030 article-title: Isotropic polar solids for conformal transformation elasticity and cloaking publication-title: J. Mech. Phys. Solids. doi: 10.1016/j.jmps.2019.05.002 – year: 2012 ident: 10.1016/j.matdes.2021.110031_b0135 – volume: 19 start-page: 1563 year: 2000 ident: 10.1016/j.matdes.2021.110031_b0120 article-title: Auxetic behavior from rotating squares publication-title: J. Mater. Sci. Lett. doi: 10.1023/A:1006781224002 – volume: 98 year: 2011 ident: 10.1016/j.matdes.2021.110031_b0015 article-title: An elastic metamaterial with simultaneously negative mass density and bulk modulus publication-title: Appl. Phys. Lett. doi: 10.1063/1.3597651 – volume: 99 start-page: 259 year: 2017 ident: 10.1016/j.matdes.2021.110031_b0110 article-title: Mechanical modeling of innovative metamaterials alternating pentamode lattices and confinement plates publication-title: J. Mech. Phys. Solids. doi: 10.1016/j.jmps.2016.11.010 – volume: 95 start-page: 180104(R) year: 2017 ident: 10.1016/j.matdes.2021.110031_b0065 article-title: Broadband solid cloak for underwater acoustics publication-title: Phys. Rev. B. doi: 10.1103/PhysRevB.95.180104 – volume: 470 start-page: 20140522 issue: 2172 year: 2014 ident: 10.1016/j.matdes.2021.110031_b0080 article-title: Mechanics of elastic networks publication-title: Proc. R. Soc. A. doi: 10.1098/rspa.2014.0522 – volume: 152 year: 2021 ident: 10.1016/j.matdes.2021.110031_b0090 article-title: Customized broadband pentamode metamaterials by topology optimization publication-title: J. Mech. Phys. Solids. doi: 10.1016/j.jmps.2021.104407 – volume: 100 start-page: 191901 issue: 19 year: 2012 ident: 10.1016/j.matdes.2021.110031_b0055 article-title: On the practicability of pentamode mechanical metamaterials publication-title: Appl. Phys. Lett doi: 10.1063/1.4709436 – volume: 5 start-page: 5510 year: 2014 ident: 10.1016/j.matdes.2021.110031_b0020 article-title: Negative refraction of elastic waves at the deep-subwavelength scale in a single-phase metamaterial publication-title: Nat. Commun. doi: 10.1038/ncomms6510 – volume: 135 year: 2020 ident: 10.1016/j.matdes.2021.110031_b0035 article-title: An asymmetric elastic metamaterial model for elastic wave cloaking publication-title: J. Mech. Phys. Solids. doi: 10.1016/j.jmps.2019.103796 – volume: 5 start-page: 4130 year: 2014 ident: 10.1016/j.matdes.2021.110031_b0100 article-title: An elasto-mechanical unfeelability cloak made of pentamode metamaterials publication-title: Nat. Commun. doi: 10.1038/ncomms5130 – ident: 10.1016/j.matdes.2021.110031_b0140 doi: 10.1080/14786446408643668 – volume: 5 start-page: 452 year: 2006 ident: 10.1016/j.matdes.2021.110031_b0010 article-title: Ultrasonic metamaterials with negative modulus publication-title: Nat. Mater. doi: 10.1038/nmat1644 – volume: 464 start-page: 2411 year: 2008 ident: 10.1016/j.matdes.2021.110031_b0070 article-title: Acoustic cloaking theory publication-title: Proc. R. Soc. A. doi: 10.1098/rspa.2008.0076 – volume: 202 year: 2021 ident: 10.1016/j.matdes.2021.110031_b0095 article-title: Topological design of pentamode lattice metamaterials using a ground structure method publication-title: Mater. Design. – volume: 116 year: 2020 ident: 10.1016/j.matdes.2021.110031_b0105 article-title: Non-resonant metasurface for broadband elastic wave mode splitting publication-title: Appl. Phys. Lett. doi: 10.1063/5.0005408 – volume: 61 start-page: 1561 issue: 7 year: 2013 ident: 10.1016/j.matdes.2021.110031_b0130 article-title: Adaptable nonlinear bimode metamaterials using rigid bars, pivots, and actuators publication-title: J. Mech. Phys. Solids. doi: 10.1016/j.jmps.2012.08.012 – volume: 192 year: 2021 ident: 10.1016/j.matdes.2021.110031_b0160 article-title: Experimentally validated broadband self-collimation of elastic waves publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2020.106131 – volume: 14 start-page: 161 year: 1978 ident: 10.1016/j.matdes.2021.110031_b0145 article-title: Buckminster Fuller tensegrity structures and Clerk Maxwell rules for the construction of stiff frames publication-title: Int. J. Solids. Struct. doi: 10.1016/0020-7683(78)90052-5 – volume: 6 start-page: 99 year: 1997 ident: 10.1016/j.matdes.2021.110031_b0115 article-title: Design and fabrication of compliant micro-mechanisms and structures with negative Poisson’s ratio publication-title: J. Microelectromech. Syst. doi: 10.1109/84.585787 – volume: 103 year: 2009 ident: 10.1016/j.matdes.2021.110031_b0185 article-title: Elasticity and response in nearly isostatic periodic lattices publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.103.205503 – volume: 117 start-page: 483 year: 1995 ident: 10.1016/j.matdes.2021.110031_b0045 article-title: Which elasticity tensors are realizable? publication-title: J. Eng. Mater. Technol. ASME. doi: 10.1115/1.2804743 – volume: 111 year: 2013 ident: 10.1016/j.matdes.2021.110031_b0075 article-title: Highly Anisotropic Elements for Acoustic Pentamode Application publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.111.024302 – ident: 10.1016/j.matdes.2021.110031_b0005 – volume: 54 start-page: 756 year: 2006 ident: 10.1016/j.matdes.2021.110031_b0155 article-title: The structural performance of the periodic truss publication-title: J. Mech. Phys. Solids. doi: 10.1016/j.jmps.2005.10.008 – volume: 30 start-page: 3025 issue: 21 year: 1993 ident: 10.1016/j.matdes.2021.110031_b0190 article-title: Structural computations with the singular value decomposition of the equilibrium matrix publication-title: Int. J. Solids. Struct. doi: 10.1016/0020-7683(93)90210-X |
| SSID | ssj0022734 |
| Score | 2.4385095 |
| Snippet | [Display omitted]
•Wave characteristics of different quadramode materials according to material symmetry are systematically investigated.•A quadramode material... Extremal materials with certain vanishing eigenvalues of their elastic matrix are able to manipulate elastic wave with their extremal static property, the... |
| SourceID | doaj crossref elsevier |
| SourceType | Open Website Enrichment Source Index Database Publisher |
| StartPage | 110031 |
| SubjectTerms | Elastic wave Extremal material Microstructure design Quadramode Waterborne sound isolation |
| SummonAdditionalLinks | – databaseName: Elsevier SD Freedom Collection Journals [SCFCJ] dbid: AIKHN link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LSyNBEC7ceNk9iO6DjS_6sNch09PP0VMUJSoKyxrIbejprlmySAwhUfz3ds0jxMsKHqfpnm6qinp0V30F8Ev4KnWlMknksE9kSY-EWRoSiRwxj_ZP1z2Wbu_0aCyvJ2qyBeddLQylVba6v9HptbZuRwYtNQfz6XTwJ0YPkuDJY9CSKqvlJ9jOonVNe7A9vLoZ3a3jLkJwaa5aCKLPqK6Crk7zin5hQMLtzjilxKeCv7FQNZD_hqHaMD6Xu7DTeo1s2BxsD7Zw9hW-bGAJfoPT3ysXFo4627C4WyNYJ-yeHgJYqPM0WNMumrlZYM_uCdmcbuIXy5fvML68uD8fJW1nhMRLbpeJU0Yq500VvHPaKsxjPFkqa73ilUVnLa_QYh6DG4OZyYIQaYjhKEZjLlBZ8QN6s8cZ_gSmtOPaBZV7a2SZYukUVe27zBnU3GMfREeNwrew4dS94qHo8sP-FQ0NC6Jh0dCwD8l61byBzXhn_hkRej2XQK_rgcfF36LleqGFJyRj5Xn0mmRUtYFjblw8fTCaV6IPpmNT8UaG4q-m_91-_8MrD-AzfVF1IleH0FsuVngU3ZRledyK4SsqxOMi priority: 102 providerName: Elsevier |
| Title | Quadramode materials: Their design method and wave property |
| URI | https://dx.doi.org/10.1016/j.matdes.2021.110031 https://doaj.org/article/63c19945c15844219d1e97a6add761f3 |
| Volume | 210 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3PS8MwFA4yL3oQf-L8MXLwWmzapkn1NEWZigNhg91KmryCInOMTvG_972mHfPiLl5LmpTvJXzvpe99j7GL2JahKaQK0MI2SAr6SRiFLkhAAGTIf2ndY-l5mA7GyeNETlZafVFOmJcH9sBdprEl-VppBVJlgufLCciUSfFcYgRe1jqfyHltMNWEWiTa4m9XSJVPybZors7sQlfQAUl1R4Ky4MNY_CKlWrt_hZtW-OZ-l-00jiLv-w_cYxsw3WfbK_KBB-z6ZWHc3FAzG46r-b10xUd0989dnZrBfYdobqaOf5lP4DO6fJ9X34dsfH83uh0ETTOEwCZCV4GRKpHGqtJZY1ItIcMQspBaWylKDUZrUYKGDOMZBZGKXByHDiNQQP6OQer4iHWmH1M4ZlymRiB-MrNaJUUIhZFUqG8ioyAVFrosbtHIbaMUTg0r3vM2Jewt9xjmhGHuMeyyYPnWzCtlrBl_Q0Avx5LOdf0ArZ831s_XWb_LVGumvHEZvCuAU73-ufzJfyx_yrZoSqpNFPKMdar5As7RSamKHtvsPzwNhr16X_4A-xzheQ |
| linkProvider | Directory of Open Access Journals |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LTxsxEB5ROFAOqJRWDbTFh15XWa-fCyeKikKBSFWDxM3y2rNVqipEUQDx7_HsIwqXVurVa6-tmdE87JlvAL6IUOe-UiZLHA6ZrOiRsMhjJpEjlsn-6abH0vVYj27k91t1uwFnfS0MpVV2ur_V6Y227kaGHTWH8-l0-DNFD5LgyVPQkiur5SvYInSqJOZbpxeXo_Eq7iIEl_aqhSD6jOor6Jo0r-QXRiTc7oJTSnwu-AsL1QD5rxmqNeNz_gZ2O6-RnbYH24MNnL2FnTUswX04-XHv48JTZxuWdmsF65hN6CGAxSZPg7XtopmfRfboH5DN6SZ-sXx6Bzfn3yZno6zrjJAFye0y88pI5YOpY_BeW4VliicrZW1QvLboreU1WixTcGOwMEUUIo8pHMVkzAUqK97D5uxuhh-AKe259lGVwRpZ5Vh5RVX7vvAGNQ84ANFTw4UONpy6V_xxfX7Yb9fS0BENXUvDAWSrVfMWNuMf878SoVdzCfS6Gbhb_HId150WgZCMVeDJa5JJ1UaOpfHp9NFoXosBmJ5N7oUMpV9N_7r9wX-vPILt0eT6yl1djC8P4TV9oUpFrj7C5nJxj5-Sy7KsPnci-Qz-AOYR |
| 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=Quadramode+materials%3A+Their+design+method+and+wave+property&rft.jtitle=Materials+%26+design&rft.au=Yu+Wei&rft.au=Xiaoning+Liu&rft.au=Gengkai+Hu&rft.date=2021-11-15&rft.pub=Elsevier&rft.issn=0264-1275&rft.volume=210&rft.spage=110031&rft_id=info:doi/10.1016%2Fj.matdes.2021.110031&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_63c19945c15844219d1e97a6add761f3 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0264-1275&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0264-1275&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0264-1275&client=summon |