General variational solution for seismic and static active earth pressure on rigid walls considering soil tensile strength cut-off  

作　　者：Shiguo XIAO Yuan QI Pan XIA 

机构地区：[1]Key Laboratory of High-Speed Railway Engineering,Ministry of Education,Southwest Jiaotong University,Chengdu 60031,China [2]School of Civil Engineering,Southwest Jiaotong University,Chengdu 610031,China [3]Department of Geological Engineering,Southwest Jiaotong University,Chengdu 610031,China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2023年第5期432-449,共18页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：supported by the National Natural Science Foundation of China(No.51578466);the Construction S&T Project of Department of Transportation of Sichuan Province,China(No.2020A01)。

摘　　要：According to the limit equilibrium state of soils behind rigid walls and the pseudo-static approach,a general closed-form solution to seismic and static active earth pressure on the walls,which considers shear and tension failure of the retained soil,is put forward using a variational calculus method.The application point of the active resultant force specified in the proposed method is explained with a clear physical meaning related to possible movement modes of the walls.In respect of the derived nine dependent equations reflecting the functional characteristics of the earth pressure,the proposed method can be performed easily via an implicit strategy.There are 13 basic factors related to the retained soils,walls,and external loads to be involved in the proposed method.The tension crack segment of the slip surface is obviously influenced by these parameters,apart from vertical seismic coefficient and geometric bounds of the surcharge,but the shear slip segment maintains an approximately planar shape almost uninfluenced by these parameters.Noticeably,the proposed method quantitatively reflects that the resultant of the active earth pressure is always within a limited range under different possible movements of the same wall.

关 键 词：Active earth pressure Tensile strength cut-off Variational calculus method Pseudo-static method Strip surcharge 

分 类 号：TU432[建筑科学—岩土工程] TU476.4[建筑科学—土工工程]