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On-line Access: 2023-04-25

Received: 2022-07-10

Revision Accepted: 2022-11-28

Crosschecked: 2023-04-25

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Shiguo XIAO


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Journal of Zhejiang University SCIENCE A 2023 Vol.24 No.5 P.432-449


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

Author(s):  Shiguo XIAO, Yuan QI, Pan XIA

Affiliation(s):  Key Laboratory of High-Speed Railway Engineering, Ministry of Education, Southwest Jiaotong University, Chengdu 610031, China; more

Corresponding email(s):   xiaoshiguo@swjtu.cn

Key Words:  Active earth pressure, Tensile strength cut-off, Variational calculus method, Pseudo-static method, Strip surcharge

Shiguo XIAO, Yuan QI, Pan XIA. General variational solution for seismic and static active earth pressure on rigid walls considering soil tensile strength cut-off[J]. Journal of Zhejiang University Science A, 2023, 24(5): 432-449.

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author="Shiguo XIAO, Yuan QI, Pan XIA",
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%0 Journal Article
%T General variational solution for seismic and static active earth pressure on rigid walls considering soil tensile strength cut-off
%A Shiguo XIAO
%A Yuan QI
%A Pan XIA
%J Journal of Zhejiang University SCIENCE A
%V 24
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%P 432-449
%@ 1673-565X
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2200340

T1 - General variational solution for seismic and static active earth pressure on rigid walls considering soil tensile strength cut-off
A1 - Shiguo XIAO
A1 - Yuan QI
A1 - Pan XIA
J0 - Journal of Zhejiang University Science A
VL - 24
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SP - 432
EP - 449
%@ 1673-565X
Y1 - 2023
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A2200340

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.




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