Variational calculus method for passive earth pressure on rigid retaining walls with strip surcharge on backfills
•A unified solution to passive earth pressure on rigid retaining walls with strip surcharge on backfills is established.•An implicit solution tactic for 8 equations by variational calculus is provided to compute the force easily via Matlab.•The proposed method can quantitatively exhibit effects of 1...
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| Published in | Applied Mathematical Modelling Vol. 83; pp. 526 - 551 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Elsevier Inc
01.07.2020
Elsevier BV |
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| Abstract | •A unified solution to passive earth pressure on rigid retaining walls with strip surcharge on backfills is established.•An implicit solution tactic for 8 equations by variational calculus is provided to compute the force easily via Matlab.•The proposed method can quantitatively exhibit effects of 11 basic parameters on the force and critical slip surface.•Compared with some existing methods, the proposed method can obtain lower results and is safer for practical designs.
In light of the limit equilibrium conditions of soil mass retained by rigid retaining walls with distanced strip surcharge on its top surface, a variational calculus method is provided to calculate the passive earth pressure on the wall. By establishing the functional relationship between the earth pressure and potential slip surface as well as normal stress on it under a specified action point of the resultant force of the earth pressure, a unified closed-form solution to the passive earth pressure is derived and preformed easily by an implicit solution tactic via Matlab. It can quantitatively exhibit the influences of fundamental parameters on the force and corresponding critical slip surface including the soil properties, soil-wall interface friction angle, dip angle of the wall back, dip angle of the top surface of the retained soil, strip surcharge, net distance from the wall back to the surcharge, distribution width of the surcharge, and so on. These parameters except for unit weight, cohesion of soil and strip surcharge have nonlinear influence on the value of the passive earth pressure. Analysis results of some examples indicate the passive earth pressure by the proposed method is usually less than that by traditional limit equilibrium methods, and equal to the Coulomb's solution under certain conditions. |
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| AbstractList | •A unified solution to passive earth pressure on rigid retaining walls with strip surcharge on backfills is established.•An implicit solution tactic for 8 equations by variational calculus is provided to compute the force easily via Matlab.•The proposed method can quantitatively exhibit effects of 11 basic parameters on the force and critical slip surface.•Compared with some existing methods, the proposed method can obtain lower results and is safer for practical designs.
In light of the limit equilibrium conditions of soil mass retained by rigid retaining walls with distanced strip surcharge on its top surface, a variational calculus method is provided to calculate the passive earth pressure on the wall. By establishing the functional relationship between the earth pressure and potential slip surface as well as normal stress on it under a specified action point of the resultant force of the earth pressure, a unified closed-form solution to the passive earth pressure is derived and preformed easily by an implicit solution tactic via Matlab. It can quantitatively exhibit the influences of fundamental parameters on the force and corresponding critical slip surface including the soil properties, soil-wall interface friction angle, dip angle of the wall back, dip angle of the top surface of the retained soil, strip surcharge, net distance from the wall back to the surcharge, distribution width of the surcharge, and so on. These parameters except for unit weight, cohesion of soil and strip surcharge have nonlinear influence on the value of the passive earth pressure. Analysis results of some examples indicate the passive earth pressure by the proposed method is usually less than that by traditional limit equilibrium methods, and equal to the Coulomb's solution under certain conditions. In light of the limit equilibrium conditions of soil mass retained by rigid retaining walls with distanced strip surcharge on its top surface, a variational calculus method is provided to calculate the passive earth pressure on the wall. By establishing the functional relationship between the earth pressure and potential slip surface as well as normal stress on it under a specified action point of the resultant force of the earth pressure, a unified closed-form solution to the passive earth pressure is derived and preformed easily by an implicit solution tactic via Matlab. It can quantitatively exhibit the influences of fundamental parameters on the force and corresponding critical slip surface including the soil properties, soil-wall interface friction angle, dip angle of the wall back, dip angle of the top surface of the retained soil, strip surcharge, net distance from the wall back to the surcharge, distribution width of the surcharge, and so on. These parameters except for unit weight, cohesion of soil and strip surcharge have nonlinear influence on the value of the passive earth pressure. Analysis results of some examples indicate the passive earth pressure by the proposed method is usually less than that by traditional limit equilibrium methods, and equal to the Coulomb's solution under certain conditions. |
| Author | Xiao, Shiguo Xia, Pan |
| Author_xml | – sequence: 1 givenname: Shiguo surname: Xiao fullname: Xiao, Shiguo email: xiaoshiguo@swjtu.cn organization: Key Laboratory of High-Speed Railway Engineering and Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, Southwest Jiaotong University, Chengdu, 610031, China – sequence: 2 givenname: Pan orcidid: 0000-0001-9316-9339 surname: Xia fullname: Xia, Pan organization: Department of Geological Engineering, Southwest Jiaotong University, Chengdu, 610031, China |
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| Cites_doi | 10.1680/geot.2005.55.9.699 10.1061/(ASCE)GM.1943-5622.0001518 10.1680/geot.14.P.211 10.1007/s00419-010-0478-8 10.1061/(ASCE)1090-0241(2002)128:8(651) 10.1139/t01-004 10.1680/geot.2002.52.8.617 10.1680/geng.2002.155.2.119 10.1016/j.soildyn.2017.11.011 10.1061/(ASCE)GM.1943-5622.0000285 10.1080/19386362.2017.1326683 10.1002/nag.2771 10.1007/s10706-018-0739-9 10.1061/(ASCE)GM.1943-5622.0001032 10.1680/geot.1955.5.1.7 10.1016/j.soildyn.2018.07.038 10.1061/(ASCE)0733-9410(1994)120:6(1072) 10.1016/j.jrmge.2018.03.011 10.1139/t01-103 10.1007/s10706-005-2009-x 10.1680/geot.1977.27.1.1 10.1139/t95-050 10.1139/t99-123 10.1061/(ASCE)GM.1943-5622.0000786 10.1139/cgj-2017-0087 10.1016/j.soildyn.2018.01.021 10.1061/(ASCE)1090-0241(1998)124:1(95) 10.1680/geot.1999.49.3.319 10.1061/AJGEB6.0000864 10.1061/(ASCE)1090-0241(2001)127:3(248) 10.1061/(ASCE)GM.1943-5622.0000385 10.1061/(ASCE)0733-9410(1994)120:8(1307) 10.1680/geot.1978.28.4.395 10.1680/geot.2007.57.3.319 10.1061/(ASCE)GM.1943-5622.0001326 10.1680/geot.1975.25.4.671 10.1007/s10706-007-9141-8 10.1061/(ASCE)0733-9399(1997)123:5(524) 10.1016/j.compgeo.2019.01.021 10.1061/(ASCE)GM.1943-5622.0000736 10.1080/17486025.2013.808380 10.1098/rstl.1857.0003 10.1016/j.soildyn.2017.06.011 10.1002/nag.2543 10.1007/s10706-010-9382-9 |
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| Keywords | Passive earth pressure Retaining walls Strip surcharge Limit equilibrium Variational calculus method |
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| References | Motta (bib0051) 1994; 120 Garber, Baker (bib0040) 1979; 105 Ghosh (bib0009) 2007; 25 Chowdhury (bib0031) 2019; 13 Rankine (bib0003) 1857; 147 Revillo, Castillo (bib0041) 1977; 27 Zhang, Leshchinsky, Baker (bib0042) 2016; 40 Fang, Chen, Wu (bib0033) 1994; 120 Georgiadis, Anagnostopoulos (bib0052) 1998; 124 Li, Liu (bib0048) 2007; 24 Giaquinta, Hildebrandt (bib0056) 2004; 310 Veiskarami, Chenari, Jameei (bib0032) 2019; 37 Sokolovski (bib0058) 1965 Yang (bib0027) 2011; 81 Choudhury, Nimbalkar (bib0010) 2005; 55 Farzaneh, Askari, Fatemi (bib0053) 2014; 12 Coulomb (bib0002) 1776 Peng, Zhu, Zhou (bib0012) 2018; 114 Ghosh, Kolathayar (bib0013) 2011; 29 doc/gads/gads tb.pdf (cited November 10, 2018). Greco (bib0054) 2006; 24 Kopáscy (bib0035) 1955 Fang, Ho, Chen (bib0034) 2002; 128 Kumar (bib0015) 2001; 38 Krabbenhoft (bib0020) 2018; 104 Chen (bib0024) 1975 Pain, Chen, Nimbalkar, Zhou (bib0004) 2017; 100 Choudhury, Katdare (bib0008) 2013; 13 Li, Liu (bib0047) 2010; 34 Giri (bib0007) 2014; 9 Liu, Xia, Liang (bib0019) 2018; 10 Kopáscy (bib0036) 1957; 1 Inc. The MathWorks, Global Optimization Toolbox: User's Guide (R2018b). Retrieved September 2018, available from Lancellotta (bib0022) 2007; 57 Sahoo, Ganesh (bib0006) 2018; 18 Zhao, Chen (bib0049) 2019; 41 Santhoshkumar, Ghosh (bib0029) 2018; 107 Soubra, Kastner (bib0043) 1992 Soubra, Macuh (bib0026) 2002; 155 Kumar, Chitikela (bib0028) 2002; 39 Patki, Dewaikar, Mandal (bib0050) 2017; 17 Hu, Yang, Wilkinson (bib0018) 2018; 55 Soubra, Kastner, Benmansour (bib0045) 1999; 49 Yang, Li (bib0025) 2018; 42 Tang, Phoon, Toh (bib0021) 2014; 14 Zienkiewicz, Humpheson, Lewis (bib0059) 1975; 25 Luan, Nogami (bib0046) 1997; 5 Bishop (bib0060) 1955; 5 Soubra, Kastner, Benmansour (bib0044) 1999; 2 Cai, Chen, Zhou, Nimbalkar, Yu (bib0005) 2017; 17 Lancellotta (bib0023) 2002; 52 Zhu, Qian (bib0016) 2000; 37 Hou, Shu (bib0055) 2019; 19 Kopáscy (bib0037) 1961; 2 Deng, Yang (bib0017) 2019; 19 Duncan, Mokwa (bib0001) 2001; 127 Cao, Liu, Xu (bib0011) 2019; 109 Morrison, Ebeling (bib0014) 1995; 32 Baker, Garber (bib0039) 1978; 28 Baker, Garber (bib0038) 1977; 2 Muraro, Madaschi, Gajo (bib0030) 2015; 65 Ghosh (10.1016/j.apm.2020.03.008_bib0013) 2011; 29 Morrison (10.1016/j.apm.2020.03.008_bib0014) 1995; 32 Hu (10.1016/j.apm.2020.03.008_bib0018) 2018; 55 Chowdhury (10.1016/j.apm.2020.03.008_bib0031) 2019; 13 Kopáscy (10.1016/j.apm.2020.03.008_bib0036) 1957; 1 Sokolovski (10.1016/j.apm.2020.03.008_bib0058) 1965 Fang (10.1016/j.apm.2020.03.008_bib0034) 2002; 128 Zhu (10.1016/j.apm.2020.03.008_bib0016) 2000; 37 Sahoo (10.1016/j.apm.2020.03.008_bib0006) 2018; 18 Liu (10.1016/j.apm.2020.03.008_bib0019) 2018; 10 Soubra (10.1016/j.apm.2020.03.008_bib0045) 1999; 49 Revillo (10.1016/j.apm.2020.03.008_bib0041) 1977; 27 Kopáscy (10.1016/j.apm.2020.03.008_bib0035) 1955 Patki (10.1016/j.apm.2020.03.008_bib0050) 2017; 17 Zhao (10.1016/j.apm.2020.03.008_bib0049) 2019; 41 Cao (10.1016/j.apm.2020.03.008_bib0011) 2019; 109 Krabbenhoft (10.1016/j.apm.2020.03.008_bib0020) 2018; 104 Coulomb (10.1016/j.apm.2020.03.008_bib0002) 1776 Choudhury (10.1016/j.apm.2020.03.008_bib0008) 2013; 13 Yang (10.1016/j.apm.2020.03.008_bib0027) 2011; 81 Bishop (10.1016/j.apm.2020.03.008_bib0060) 1955; 5 Greco (10.1016/j.apm.2020.03.008_bib0054) 2006; 24 Giaquinta (10.1016/j.apm.2020.03.008_bib0056) 2004; 310 Kopáscy (10.1016/j.apm.2020.03.008_bib0037) 1961; 2 Soubra (10.1016/j.apm.2020.03.008_bib0026) 2002; 155 Li (10.1016/j.apm.2020.03.008_bib0047) 2010; 34 Motta (10.1016/j.apm.2020.03.008_bib0051) 1994; 120 Pain (10.1016/j.apm.2020.03.008_bib0004) 2017; 100 Giri (10.1016/j.apm.2020.03.008_bib0007) 2014; 9 Lancellotta (10.1016/j.apm.2020.03.008_bib0023) 2002; 52 Zhang (10.1016/j.apm.2020.03.008_bib0042) 2016; 40 Li (10.1016/j.apm.2020.03.008_bib0048) 2007; 24 Zienkiewicz (10.1016/j.apm.2020.03.008_bib0059) 1975; 25 Chen (10.1016/j.apm.2020.03.008_bib0024) 1975 Baker (10.1016/j.apm.2020.03.008_bib0038) 1977; 2 Ghosh (10.1016/j.apm.2020.03.008_bib0009) 2007; 25 Soubra (10.1016/j.apm.2020.03.008_bib0043) 1992 Deng (10.1016/j.apm.2020.03.008_bib0017) 2019; 19 10.1016/j.apm.2020.03.008_bib0057 Kumar (10.1016/j.apm.2020.03.008_bib0015) 2001; 38 Veiskarami (10.1016/j.apm.2020.03.008_bib0032) 2019; 37 Garber (10.1016/j.apm.2020.03.008_bib0040) 1979; 105 Cai (10.1016/j.apm.2020.03.008_bib0005) 2017; 17 Muraro (10.1016/j.apm.2020.03.008_bib0030) 2015; 65 Soubra (10.1016/j.apm.2020.03.008_bib0044) 1999; 2 Peng (10.1016/j.apm.2020.03.008_bib0012) 2018; 114 Farzaneh (10.1016/j.apm.2020.03.008_bib0053) 2014; 12 Baker (10.1016/j.apm.2020.03.008_bib0039) 1978; 28 Choudhury (10.1016/j.apm.2020.03.008_bib0010) 2005; 55 Georgiadis (10.1016/j.apm.2020.03.008_bib0052) 1998; 124 Hou (10.1016/j.apm.2020.03.008_bib0055) 2019; 19 Tang (10.1016/j.apm.2020.03.008_bib0021) 2014; 14 Rankine (10.1016/j.apm.2020.03.008_bib0003) 1857; 147 Santhoshkumar (10.1016/j.apm.2020.03.008_bib0029) 2018; 107 Yang (10.1016/j.apm.2020.03.008_bib0025) 2018; 42 Duncan (10.1016/j.apm.2020.03.008_bib0001) 2001; 127 Lancellotta (10.1016/j.apm.2020.03.008_bib0022) 2007; 57 Fang (10.1016/j.apm.2020.03.008_bib0033) 1994; 120 Luan (10.1016/j.apm.2020.03.008_bib0046) 1997; 5 Kumar (10.1016/j.apm.2020.03.008_bib0028) 2002; 39 |
| References_xml | – volume: 17 year: 2017 ident: bib0050 article-title: Numerical evaluation of passive earth-pressure coefficients under the effect of surcharge loading publication-title: Int. J. Geomech. contributor: fullname: Mandal – volume: 128 start-page: 651 year: 2002 end-page: 659 ident: bib0034 article-title: Passive earth pressure with critical state concept publication-title: J. Geotech. Geoenviron. Eng. contributor: fullname: Chen – volume: 5 start-page: 524 year: 1997 end-page: 530 ident: bib0046 article-title: Variational analysis of earth pressure on a rigid earth-retaining wall publication-title: J. Eng. Mech. contributor: fullname: Nogami – start-page: 81 year: 1955 end-page: 99 ident: bib0035 article-title: Über die Bruchflächen und Bruchspannungen in den Erdbauten publication-title: Gedenkbuch Für Prof. Dr. Jáky J. contributor: fullname: Kopáscy – volume: 55 start-page: 666 year: 2018 end-page: 679 ident: bib0018 article-title: Analysis of passive earth pressure modification due to seepage flow effect publication-title: Can. Geotech. J. contributor: fullname: Wilkinson – volume: 81 start-page: 1195 year: 2011 end-page: 1202 ident: bib0027 article-title: Seismic passive pressures of earth structures by nonlinear optimization publication-title: Arch. Appl. Mech. contributor: fullname: Yang – volume: 27 start-page: 1 year: 1977 end-page: 11 ident: bib0041 article-title: The calculus of variations applied to stability of slopes publication-title: Geotechnique contributor: fullname: Castillo – start-page: 67 year: 1992 end-page: 76 ident: bib0043 article-title: Influence of seepage flow on the passive earth pressures publication-title: Proceeding of the International Conference on Retaining Structures contributor: fullname: Kastner – volume: 29 start-page: 363 year: 2011 end-page: 373 ident: bib0013 article-title: Seismic passive earth pressure behind non vertical wall with composite failure mechanism: pseudo-dynamic approach publication-title: Geotech. Geol. Eng. contributor: fullname: Kolathayar – volume: 9 start-page: 72 year: 2014 end-page: 78 ident: bib0007 article-title: Pseudo-dynamic methods for seismic passive earth pressure behind a cantilever retaining wall with inclined backfill publication-title: Geomech. Geoeng. contributor: fullname: Giri – volume: 37 start-page: 1987 year: 2019 end-page: 2005 ident: bib0032 article-title: A study on the static and seismic earth pressure problems in anisotropic granular media publication-title: Geotech. Geol. Eng. contributor: fullname: Jameei – volume: 107 start-page: 77 year: 2018 end-page: 82 ident: bib0029 article-title: Seismic passive earth pressure on an inclined cantilever retaining wall using method of stress characteristics - a new approach publication-title: Soil Dyn. Earthquake Eng. contributor: fullname: Ghosh – volume: 17 year: 2017 ident: bib0005 article-title: Estimation of passive earth pressure against rigid retaining wall considering arching effect in cohesive-frictional backfill under translation mode publication-title: Int. J. Geomech. contributor: fullname: Yu – start-page: 343 year: 1776 end-page: 382 ident: bib0002 article-title: Essai sur une application des règles de maximis & minimis à quelques problèmes de statique, relatifs à l'architecture publication-title: Mémoires de Mathématiques et de Physique Présentés à l'Académie Royale des Sciences par Divers Savants, et Lus sans ses Assemblées VII contributor: fullname: Coulomb – volume: 57 start-page: 319 year: 2007 end-page: 321 ident: bib0022 article-title: Lower-bound approach for seismic passive earth resistance publication-title: Geotechnique contributor: fullname: Lancellotta – volume: 65 start-page: 507 year: 2015 end-page: 516 ident: bib0030 article-title: Passive soil pressure on sloping ground and design of retaining structures for slope stabilisation publication-title: Géotechnique contributor: fullname: Gajo – volume: 38 start-page: 876 year: 2001 end-page: 881 ident: bib0015 article-title: Seismic passive earth pressure coefficients for sands publication-title: Can. Geotech. J. contributor: fullname: Kumar – volume: 5 start-page: 7 year: 1955 end-page: 17 ident: bib0060 article-title: The use of the slip circle in the stability analysis of slopes publication-title: Geotechnique contributor: fullname: Bishop – volume: 120 start-page: 1072 year: 1994 end-page: 1079 ident: bib0051 article-title: Generalized coulomb active-earth pressure for distanced surcharge publication-title: J. Geotech. Eng. Div. ASCE contributor: fullname: Motta – volume: 24 start-page: 615 year: 2006 end-page: 636 ident: bib0054 article-title: Lateral earth pressure due to backfill subject to a strip of surcharge publication-title: Geotech. Geol. Eng. contributor: fullname: Greco – volume: 37 start-page: 485 year: 2000 end-page: 491 ident: bib0016 article-title: Determination of passive earth pressure coefficients by the method of triangular slices publication-title: Can. Geotech. J. contributor: fullname: Qian – volume: 2 start-page: 9 year: 1977 end-page: 12 ident: bib0038 article-title: Variational analysis of the stability of slopes publication-title: Proceedings of the Ninth International Conference on Soil Mechanics and Foundations Engineering contributor: fullname: Garber – volume: 105 start-page: 1155 year: 1979 end-page: 1171 ident: bib0040 article-title: Extreme-value problems of limiting equilibrium publication-title: J. Geotech. Eng. Div. ASCE contributor: fullname: Baker – volume: 120 start-page: 1307 year: 1994 end-page: 1323 ident: bib0033 article-title: Passive earth pressures with various wall movements publication-title: J. Geotech. Geoenviron. Eng. contributor: fullname: Wu – volume: 12 start-page: 281 year: 2014 end-page: 291 ident: bib0053 article-title: Active earth pressure induced by strip loads on a backfill publication-title: Int. J. Civil Eng. contributor: fullname: Fatemi – volume: 109 start-page: 108 year: 2019 end-page: 116 ident: bib0011 article-title: Calculation of passive earth pressure using the simplified principal stress trajectory method on rigid retaining wall publication-title: Comput. Geotech. contributor: fullname: Xu – volume: 49 start-page: 319 year: 1999 end-page: 330 ident: bib0045 article-title: Passive earth pressures in the presence of hydraulic gradients publication-title: Geotechnique contributor: fullname: Benmansour – volume: 55 start-page: 699 year: 2005 end-page: 702 ident: bib0010 article-title: Seismic passive resistance by pseudo-dynamic method publication-title: Geotechnique contributor: fullname: Nimbalkar – volume: 24 start-page: 11 year: 2007 end-page: 18 ident: bib0048 article-title: Study on the passive earth pressure by variational limit equilibrium method publication-title: Eng. Mech. contributor: fullname: Liu – volume: 104 start-page: 403 year: 2018 end-page: 407 ident: bib0020 article-title: Static and seismic earth pressure coefficients for vertical walls with horizontal backfill publication-title: Soil Dyn. Earthquake Eng. contributor: fullname: Krabbenhoft – volume: 19 year: 2019 ident: bib0017 article-title: Analysis of passive earth pressure for unsaturated retaining structures publication-title: Int. J. Geomech. contributor: fullname: Yang – year: 1975 ident: bib0024 article-title: Limit Analysis and Soil Plasticity contributor: fullname: Chen – year: 1965 ident: bib0058 article-title: Statics of Granular Media contributor: fullname: Sokolovski – volume: 14 year: 2014 ident: bib0021 article-title: Lower-Bound limit analysis of seismic passive earth pressure on rigid walls publication-title: Int. J. Geomech. contributor: fullname: Toh – volume: 100 start-page: 286 year: 2017 end-page: 295 ident: bib0004 article-title: Evaluation of seismic passive earth pressure of inclined rigid retaining wall considering soil arching effect publication-title: Soil Dyn. Earthquake Eng. contributor: fullname: Zhou – volume: 34 start-page: 991 year: 2010 end-page: 1008 ident: bib0047 article-title: Study on the action of the active earth pressure by variational limit equilibrium method publication-title: Int. J. Numer. Anal. Methods Geomech. contributor: fullname: Liu – volume: 10 start-page: 1171 year: 2018 end-page: 1182 ident: bib0019 article-title: A modified logarithmic spiral method for determining passive earth pressure publication-title: J. Rock Mech. Geotech. Eng. contributor: fullname: Liang – volume: 28 start-page: 395 year: 1978 end-page: 411 ident: bib0039 article-title: Theoretical analysis of the stability of slopes publication-title: Geotechnique contributor: fullname: Garber – volume: 2 start-page: 851 year: 1999 end-page: 856 ident: bib0044 article-title: Influence of the seepage force on the passive earth pressures publication-title: Proceeding of the 12th European Conference on Soil Mechanics and Geotechnical Engineering contributor: fullname: Benmansour – volume: 41 start-page: 29 year: 2019 end-page: 35 ident: bib0049 article-title: Variational method for computation of passive earth on retaining wall publication-title: J. Civil Environ. Eng. contributor: fullname: Chen – volume: 39 start-page: 463 year: 2002 end-page: 471 ident: bib0028 article-title: Seismic passive earth pressure coefficients using the method of characteristics publication-title: Can. Geotech. J. contributor: fullname: Chitikela – volume: 40 start-page: 2514 year: 2016 end-page: 2531 ident: bib0042 article-title: Implications of variationally derived 3D failure mechanism publication-title: Int. J. Numer. Anal. Methods Geomech. contributor: fullname: Baker – volume: 127 start-page: 248 year: 2001 end-page: 257 ident: bib0001 article-title: Passive earth pressures: theories and tests publication-title: J. Geotech. Geoenviron. Eng. contributor: fullname: Mokwa – volume: 2 start-page: 641 year: 1961 end-page: 650 ident: bib0037 article-title: Distribution des contraintesala rupture, forme de la surface de glissement et hauteur théorique des talus publication-title: Proceedings of the Fifth International Conference on Soil Mechanics and Foundations Engineering contributor: fullname: Kopáscy – volume: 25 start-page: 671 year: 1975 end-page: 684 ident: bib0059 article-title: Associated and non-associated visco-plasticity and plasticity in soil mechanics publication-title: Géotechnique contributor: fullname: Lewis – volume: 124 start-page: 95 year: 1998 end-page: 98 ident: bib0052 article-title: Lateral pressure on sheet pile walls due to strip load publication-title: J. Geotech. Eng. Div. ASCE contributor: fullname: Anagnostopoulos – volume: 114 start-page: 225 year: 2018 end-page: 228 ident: bib0012 article-title: Derivation of Shukla's generalized expression of seismic passive earth pressure on retaining walls with cohesive-frictional backfill by the inclined slice element method publication-title: Soil Dyn. Earthquake Eng. contributor: fullname: Zhou – volume: 19 year: 2019 ident: bib0055 article-title: Trial wedge approach to determine lateral earth pressures publication-title: Int. J. Geomech. contributor: fullname: Shu – volume: 147 start-page: 9 year: 1857 end-page: 27 ident: bib0003 article-title: On the stability of loose earth publication-title: Phil. Trans. R. Soc. London contributor: fullname: Rankine – volume: 13 start-page: 852 year: 2013 end-page: 860 ident: bib0008 article-title: New approach to determine seismic passive resistance on retaining walls considering seismic waves publication-title: Int. J. Geomech. contributor: fullname: Katdare – volume: 13 start-page: 122 year: 2019 end-page: 138 ident: bib0031 article-title: A study on lateral earth pressure against strutted retaining wall in cohesionless soil deposit publication-title: Int. J. Geotech. Eng. contributor: fullname: Chowdhury – volume: 310 year: 2004 ident: bib0056 publication-title: Calculus of Variations I contributor: fullname: Hildebrandt – volume: 155 start-page: 119 year: 2002 end-page: 131 ident: bib0026 article-title: Active and passive earth pressure coefficients by a kinematical approach publication-title: Proc. Inst. Civil Eng. Geotech. Eng. contributor: fullname: Macuh – volume: 25 start-page: 693 year: 2007 end-page: 703 ident: bib0009 article-title: Seismic passive earth pressure behind non-vertical retaining wall using pseudo-dynamic analysis publication-title: Geotech. Geol. Eng. contributor: fullname: Ghosh – volume: 18 year: 2018 ident: bib0006 article-title: Discussion of “Estimation of passive earth pressure against rigid retaining wall considering arching effect in cohesive-frictional backfill under translation mode” by Yanyan Cai, Qingsheng Chen, Yitao Zhou, Sanjay Nimbalkar, and Jin Yu publication-title: Int. J. Geomech. contributor: fullname: Ganesh – volume: 32 start-page: 481 year: 1995 end-page: 487 ident: bib0014 article-title: Limit equilibrium computation of dynamic passive earth pressure publication-title: Can. Geotech. J. contributor: fullname: Ebeling – volume: 52 start-page: 617 year: 2002 end-page: 619 ident: bib0023 article-title: Analytical solution of passive earth pressure publication-title: Géotechnique contributor: fullname: Lancellotta – volume: 1 start-page: 339 year: 1957 end-page: 342 ident: bib0036 article-title: Three-dimensional stress distribution and slip surfaces in earth works at rupture publication-title: Proceedings of the Fourth International Conference on Soil Mechanics and Foundations Engineering contributor: fullname: Kopáscy – volume: 42 start-page: 916 year: 2018 end-page: 930 ident: bib0025 article-title: Kinematical analysis of 3D passive earth pressure with nonlinear yield criterion publication-title: Int. J. Numer. Anal. Methods Geomech. contributor: fullname: Li – volume: 55 start-page: 699 year: 2005 ident: 10.1016/j.apm.2020.03.008_bib0010 article-title: Seismic passive resistance by pseudo-dynamic method publication-title: Geotechnique doi: 10.1680/geot.2005.55.9.699 contributor: fullname: Choudhury – volume: 24 start-page: 11 year: 2007 ident: 10.1016/j.apm.2020.03.008_bib0048 article-title: Study on the passive earth pressure by variational limit equilibrium method publication-title: Eng. Mech. contributor: fullname: Li – volume: 19 year: 2019 ident: 10.1016/j.apm.2020.03.008_bib0017 article-title: Analysis of passive earth pressure for unsaturated retaining structures publication-title: Int. J. Geomech. doi: 10.1061/(ASCE)GM.1943-5622.0001518 contributor: fullname: Deng – volume: 65 start-page: 507 year: 2015 ident: 10.1016/j.apm.2020.03.008_bib0030 article-title: Passive soil pressure on sloping ground and design of retaining structures for slope stabilisation publication-title: Géotechnique doi: 10.1680/geot.14.P.211 contributor: fullname: Muraro – volume: 81 start-page: 1195 year: 2011 ident: 10.1016/j.apm.2020.03.008_bib0027 article-title: Seismic passive pressures of earth structures by nonlinear optimization publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-010-0478-8 contributor: fullname: Yang – volume: 2 start-page: 641 year: 1961 ident: 10.1016/j.apm.2020.03.008_bib0037 article-title: Distribution des contraintesala rupture, forme de la surface de glissement et hauteur théorique des talus contributor: fullname: Kopáscy – volume: 128 start-page: 651 year: 2002 ident: 10.1016/j.apm.2020.03.008_bib0034 article-title: Passive earth pressure with critical state concept publication-title: J. Geotech. Geoenviron. Eng. doi: 10.1061/(ASCE)1090-0241(2002)128:8(651) contributor: fullname: Fang – volume: 38 start-page: 876 year: 2001 ident: 10.1016/j.apm.2020.03.008_bib0015 article-title: Seismic passive earth pressure coefficients for sands publication-title: Can. Geotech. J. doi: 10.1139/t01-004 contributor: fullname: Kumar – volume: 52 start-page: 617 year: 2002 ident: 10.1016/j.apm.2020.03.008_bib0023 article-title: Analytical solution of passive earth pressure publication-title: Géotechnique doi: 10.1680/geot.2002.52.8.617 contributor: fullname: Lancellotta – volume: 155 start-page: 119 year: 2002 ident: 10.1016/j.apm.2020.03.008_bib0026 article-title: Active and passive earth pressure coefficients by a kinematical approach publication-title: Proc. Inst. Civil Eng. Geotech. Eng. doi: 10.1680/geng.2002.155.2.119 contributor: fullname: Soubra – volume: 104 start-page: 403 year: 2018 ident: 10.1016/j.apm.2020.03.008_bib0020 article-title: Static and seismic earth pressure coefficients for vertical walls with horizontal backfill publication-title: Soil Dyn. Earthquake Eng. doi: 10.1016/j.soildyn.2017.11.011 contributor: fullname: Krabbenhoft – volume: 12 start-page: 281 year: 2014 ident: 10.1016/j.apm.2020.03.008_bib0053 article-title: Active earth pressure induced by strip loads on a backfill publication-title: Int. J. Civil Eng. contributor: fullname: Farzaneh – start-page: 343 year: 1776 ident: 10.1016/j.apm.2020.03.008_bib0002 article-title: Essai sur une application des règles de maximis & minimis à quelques problèmes de statique, relatifs à l'architecture contributor: fullname: Coulomb – volume: 13 start-page: 852 year: 2013 ident: 10.1016/j.apm.2020.03.008_bib0008 article-title: New approach to determine seismic passive resistance on retaining walls considering seismic waves publication-title: Int. J. Geomech. doi: 10.1061/(ASCE)GM.1943-5622.0000285 contributor: fullname: Choudhury – volume: 1 start-page: 339 year: 1957 ident: 10.1016/j.apm.2020.03.008_bib0036 article-title: Three-dimensional stress distribution and slip surfaces in earth works at rupture contributor: fullname: Kopáscy – volume: 13 start-page: 122 year: 2019 ident: 10.1016/j.apm.2020.03.008_bib0031 article-title: A study on lateral earth pressure against strutted retaining wall in cohesionless soil deposit publication-title: Int. J. Geotech. Eng. doi: 10.1080/19386362.2017.1326683 contributor: fullname: Chowdhury – volume: 42 start-page: 916 year: 2018 ident: 10.1016/j.apm.2020.03.008_bib0025 article-title: Kinematical analysis of 3D passive earth pressure with nonlinear yield criterion publication-title: Int. J. Numer. Anal. Methods Geomech. doi: 10.1002/nag.2771 contributor: fullname: Yang – volume: 37 start-page: 1987 year: 2019 ident: 10.1016/j.apm.2020.03.008_bib0032 article-title: A study on the static and seismic earth pressure problems in anisotropic granular media publication-title: Geotech. Geol. Eng. doi: 10.1007/s10706-018-0739-9 contributor: fullname: Veiskarami – volume: 18 year: 2018 ident: 10.1016/j.apm.2020.03.008_bib0006 article-title: Discussion of “Estimation of passive earth pressure against rigid retaining wall considering arching effect in cohesive-frictional backfill under translation mode” by Yanyan Cai, Qingsheng Chen, Yitao Zhou, Sanjay Nimbalkar, and Jin Yu publication-title: Int. J. Geomech. doi: 10.1061/(ASCE)GM.1943-5622.0001032 contributor: fullname: Sahoo – year: 1965 ident: 10.1016/j.apm.2020.03.008_bib0058 contributor: fullname: Sokolovski – volume: 5 start-page: 7 year: 1955 ident: 10.1016/j.apm.2020.03.008_bib0060 article-title: The use of the slip circle in the stability analysis of slopes publication-title: Geotechnique doi: 10.1680/geot.1955.5.1.7 contributor: fullname: Bishop – volume: 114 start-page: 225 year: 2018 ident: 10.1016/j.apm.2020.03.008_bib0012 article-title: Derivation of Shukla's generalized expression of seismic passive earth pressure on retaining walls with cohesive-frictional backfill by the inclined slice element method publication-title: Soil Dyn. Earthquake Eng. doi: 10.1016/j.soildyn.2018.07.038 contributor: fullname: Peng – volume: 34 start-page: 991 year: 2010 ident: 10.1016/j.apm.2020.03.008_bib0047 article-title: Study on the action of the active earth pressure by variational limit equilibrium method publication-title: Int. J. Numer. Anal. Methods Geomech. contributor: fullname: Li – volume: 120 start-page: 1072 year: 1994 ident: 10.1016/j.apm.2020.03.008_bib0051 article-title: Generalized coulomb active-earth pressure for distanced surcharge publication-title: J. Geotech. Eng. Div. ASCE doi: 10.1061/(ASCE)0733-9410(1994)120:6(1072) contributor: fullname: Motta – volume: 10 start-page: 1171 year: 2018 ident: 10.1016/j.apm.2020.03.008_bib0019 article-title: A modified logarithmic spiral method for determining passive earth pressure publication-title: J. Rock Mech. Geotech. Eng. doi: 10.1016/j.jrmge.2018.03.011 contributor: fullname: Liu – volume: 39 start-page: 463 year: 2002 ident: 10.1016/j.apm.2020.03.008_bib0028 article-title: Seismic passive earth pressure coefficients using the method of characteristics publication-title: Can. Geotech. J. doi: 10.1139/t01-103 contributor: fullname: Kumar – volume: 24 start-page: 615 year: 2006 ident: 10.1016/j.apm.2020.03.008_bib0054 article-title: Lateral earth pressure due to backfill subject to a strip of surcharge publication-title: Geotech. Geol. Eng. doi: 10.1007/s10706-005-2009-x contributor: fullname: Greco – volume: 27 start-page: 1 year: 1977 ident: 10.1016/j.apm.2020.03.008_bib0041 article-title: The calculus of variations applied to stability of slopes publication-title: Geotechnique doi: 10.1680/geot.1977.27.1.1 contributor: fullname: Revillo – volume: 32 start-page: 481 year: 1995 ident: 10.1016/j.apm.2020.03.008_bib0014 article-title: Limit equilibrium computation of dynamic passive earth pressure publication-title: Can. Geotech. J. doi: 10.1139/t95-050 contributor: fullname: Morrison – volume: 37 start-page: 485 year: 2000 ident: 10.1016/j.apm.2020.03.008_bib0016 article-title: Determination of passive earth pressure coefficients by the method of triangular slices publication-title: Can. Geotech. J. doi: 10.1139/t99-123 contributor: fullname: Zhu – volume: 17 year: 2017 ident: 10.1016/j.apm.2020.03.008_bib0005 article-title: Estimation of passive earth pressure against rigid retaining wall considering arching effect in cohesive-frictional backfill under translation mode publication-title: Int. J. Geomech. doi: 10.1061/(ASCE)GM.1943-5622.0000786 contributor: fullname: Cai – volume: 55 start-page: 666 year: 2018 ident: 10.1016/j.apm.2020.03.008_bib0018 article-title: Analysis of passive earth pressure modification due to seepage flow effect publication-title: Can. Geotech. J. doi: 10.1139/cgj-2017-0087 contributor: fullname: Hu – volume: 107 start-page: 77 year: 2018 ident: 10.1016/j.apm.2020.03.008_bib0029 article-title: Seismic passive earth pressure on an inclined cantilever retaining wall using method of stress characteristics - a new approach publication-title: Soil Dyn. Earthquake Eng. doi: 10.1016/j.soildyn.2018.01.021 contributor: fullname: Santhoshkumar – year: 1975 ident: 10.1016/j.apm.2020.03.008_bib0024 contributor: fullname: Chen – volume: 124 start-page: 95 year: 1998 ident: 10.1016/j.apm.2020.03.008_bib0052 article-title: Lateral pressure on sheet pile walls due to strip load publication-title: J. Geotech. Eng. Div. ASCE doi: 10.1061/(ASCE)1090-0241(1998)124:1(95) contributor: fullname: Georgiadis – volume: 49 start-page: 319 year: 1999 ident: 10.1016/j.apm.2020.03.008_bib0045 article-title: Passive earth pressures in the presence of hydraulic gradients publication-title: Geotechnique doi: 10.1680/geot.1999.49.3.319 contributor: fullname: Soubra – volume: 105 start-page: 1155 year: 1979 ident: 10.1016/j.apm.2020.03.008_bib0040 article-title: Extreme-value problems of limiting equilibrium publication-title: J. Geotech. Eng. Div. ASCE doi: 10.1061/AJGEB6.0000864 contributor: fullname: Garber – start-page: 81 year: 1955 ident: 10.1016/j.apm.2020.03.008_bib0035 article-title: Über die Bruchflächen und Bruchspannungen in den Erdbauten contributor: fullname: Kopáscy – volume: 127 start-page: 248 year: 2001 ident: 10.1016/j.apm.2020.03.008_bib0001 article-title: Passive earth pressures: theories and tests publication-title: J. Geotech. Geoenviron. Eng. doi: 10.1061/(ASCE)1090-0241(2001)127:3(248) contributor: fullname: Duncan – volume: 14 year: 2014 ident: 10.1016/j.apm.2020.03.008_bib0021 article-title: Lower-Bound limit analysis of seismic passive earth pressure on rigid walls publication-title: Int. J. Geomech. doi: 10.1061/(ASCE)GM.1943-5622.0000385 contributor: fullname: Tang – volume: 120 start-page: 1307 year: 1994 ident: 10.1016/j.apm.2020.03.008_bib0033 article-title: Passive earth pressures with various wall movements publication-title: J. Geotech. Geoenviron. Eng. doi: 10.1061/(ASCE)0733-9410(1994)120:8(1307) contributor: fullname: Fang – volume: 2 start-page: 851 year: 1999 ident: 10.1016/j.apm.2020.03.008_bib0044 article-title: Influence of the seepage force on the passive earth pressures contributor: fullname: Soubra – volume: 310 year: 2004 ident: 10.1016/j.apm.2020.03.008_bib0056 contributor: fullname: Giaquinta – volume: 28 start-page: 395 year: 1978 ident: 10.1016/j.apm.2020.03.008_bib0039 article-title: Theoretical analysis of the stability of slopes publication-title: Geotechnique doi: 10.1680/geot.1978.28.4.395 contributor: fullname: Baker – volume: 57 start-page: 319 year: 2007 ident: 10.1016/j.apm.2020.03.008_bib0022 article-title: Lower-bound approach for seismic passive earth resistance publication-title: Geotechnique doi: 10.1680/geot.2007.57.3.319 contributor: fullname: Lancellotta – volume: 2 start-page: 9 year: 1977 ident: 10.1016/j.apm.2020.03.008_bib0038 article-title: Variational analysis of the stability of slopes contributor: fullname: Baker – volume: 19 year: 2019 ident: 10.1016/j.apm.2020.03.008_bib0055 article-title: Trial wedge approach to determine lateral earth pressures publication-title: Int. J. Geomech. doi: 10.1061/(ASCE)GM.1943-5622.0001326 contributor: fullname: Hou – volume: 25 start-page: 671 year: 1975 ident: 10.1016/j.apm.2020.03.008_bib0059 article-title: Associated and non-associated visco-plasticity and plasticity in soil mechanics publication-title: Géotechnique doi: 10.1680/geot.1975.25.4.671 contributor: fullname: Zienkiewicz – volume: 25 start-page: 693 year: 2007 ident: 10.1016/j.apm.2020.03.008_bib0009 article-title: Seismic passive earth pressure behind non-vertical retaining wall using pseudo-dynamic analysis publication-title: Geotech. Geol. Eng. doi: 10.1007/s10706-007-9141-8 contributor: fullname: Ghosh – volume: 5 start-page: 524 year: 1997 ident: 10.1016/j.apm.2020.03.008_bib0046 article-title: Variational analysis of earth pressure on a rigid earth-retaining wall publication-title: J. Eng. Mech. doi: 10.1061/(ASCE)0733-9399(1997)123:5(524) contributor: fullname: Luan – volume: 109 start-page: 108 year: 2019 ident: 10.1016/j.apm.2020.03.008_bib0011 article-title: Calculation of passive earth pressure using the simplified principal stress trajectory method on rigid retaining wall publication-title: Comput. Geotech. doi: 10.1016/j.compgeo.2019.01.021 contributor: fullname: Cao – volume: 17 year: 2017 ident: 10.1016/j.apm.2020.03.008_bib0050 article-title: Numerical evaluation of passive earth-pressure coefficients under the effect of surcharge loading publication-title: Int. J. Geomech. doi: 10.1061/(ASCE)GM.1943-5622.0000736 contributor: fullname: Patki – ident: 10.1016/j.apm.2020.03.008_bib0057 – volume: 9 start-page: 72 year: 2014 ident: 10.1016/j.apm.2020.03.008_bib0007 article-title: Pseudo-dynamic methods for seismic passive earth pressure behind a cantilever retaining wall with inclined backfill publication-title: Geomech. Geoeng. doi: 10.1080/17486025.2013.808380 contributor: fullname: Giri – volume: 147 start-page: 9 year: 1857 ident: 10.1016/j.apm.2020.03.008_bib0003 article-title: On the stability of loose earth publication-title: Phil. Trans. R. Soc. London doi: 10.1098/rstl.1857.0003 contributor: fullname: Rankine – volume: 100 start-page: 286 year: 2017 ident: 10.1016/j.apm.2020.03.008_bib0004 article-title: Evaluation of seismic passive earth pressure of inclined rigid retaining wall considering soil arching effect publication-title: Soil Dyn. Earthquake Eng. doi: 10.1016/j.soildyn.2017.06.011 contributor: fullname: Pain – start-page: 67 year: 1992 ident: 10.1016/j.apm.2020.03.008_bib0043 article-title: Influence of seepage flow on the passive earth pressures contributor: fullname: Soubra – volume: 40 start-page: 2514 year: 2016 ident: 10.1016/j.apm.2020.03.008_bib0042 article-title: Implications of variationally derived 3D failure mechanism publication-title: Int. J. Numer. Anal. Methods Geomech. doi: 10.1002/nag.2543 contributor: fullname: Zhang – volume: 41 start-page: 29 year: 2019 ident: 10.1016/j.apm.2020.03.008_bib0049 article-title: Variational method for computation of passive earth on retaining wall publication-title: J. Civil Environ. Eng. contributor: fullname: Zhao – volume: 29 start-page: 363 year: 2011 ident: 10.1016/j.apm.2020.03.008_bib0013 article-title: Seismic passive earth pressure behind non vertical wall with composite failure mechanism: pseudo-dynamic approach publication-title: Geotech. Geol. Eng. doi: 10.1007/s10706-010-9382-9 contributor: fullname: Ghosh |
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| Snippet | •A unified solution to passive earth pressure on rigid retaining walls with strip surcharge on backfills is established.•An implicit solution tactic for 8... In light of the limit equilibrium conditions of soil mass retained by rigid retaining walls with distanced strip surcharge on its top surface, a variational... |
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| SubjectTerms | Calculus of variations Earth pressure Equilibrium conditions Equilibrium methods Interfacial friction angle Limit equilibrium Mathematical analysis Parameters Passive earth pressure Passive pressure Retaining walls Slip Soil conditions Soil properties Soils Strip Strip surcharge Surcharges Variational calculus method |
| Title | Variational calculus method for passive earth pressure on rigid retaining walls with strip surcharge on backfills |
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