Limit analysis of plastic critical depth of retaining wall under sliding displacement mode

LIU Jie; HUANG Da; ZHAO Fei; YANG Chao; SUN Sha

doi:10.16285/j.rsm.2017.02.016

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Limit analysis of plastic critical depth of retaining wall under sliding displacement mode

更新时间：2026-06-25

- Limit analysis of plastic critical depth of retaining wall under sliding displacement mode
- Vol. 38, Issue 2, Pages: 428-434(2017)
- 作者机构：
  
  1. 重庆大学土木工程学院,重庆,400045
  2. 河北工程大学土木工程学院,河北,邯郸,056038
  3. 中国石油天然气股份有限公司西南管道分公司,四川,成都,610041
  4. 重庆大学力学系,重庆,400045
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2017.02.016
  CLC： TU432
- Online First：05 June 2018，
  
  Published：2017
- 稿件说明：
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LIU Jie, HUANG Da, ZHAO Fei, et al. Limit analysis of plastic critical depth of retaining wall under sliding displacement mode[J]. 2017, 38(2): 428-434.
DOI：

LIU Jie, HUANG Da, ZHAO Fei, et al. Limit analysis of plastic critical depth of retaining wall under sliding displacement mode[J]. 2017, 38(2): 428-434. DOI： 10.16285/j.rsm.2017.02.016.

摘要

土压力的分布及大小与挡墙的位移模式密切相关。挡墙后的填土处于主动土压力状态时，塑性临界深度是设计时需要考虑的问题。应用极限分析上限原理，将弹性覆盖层以下且与挡墙相邻的三角形土体微元作为研究对象。推导了外力功率和内能耗散功率，得到了挡墙在平移模式下塑性临界深度的计算公式，推导过程中考虑了挡墙位移方向效应。研究结果表明：朗肯等理论计算结果是推荐方法的一个特例。塑性临界深度随挡墙位移方向与水平面之间夹角、墙-土界面黏聚力和摩擦角以及填土黏聚力和内摩擦角的增大而增大。但当挡墙位移方向水平时，塑性临界深度与墙-土界面摩擦角无关。

Abstract

The distribution and value of lateral earth pressure are closely related to the displacement mode of retaining wall. The critical depth of plastic zone behind the retaining wall should be considered during design when the backfill is in active earth pressure state. Based on the upper bound method of limit analysis

the infinitesimal backfill body under elastic overburden and adjacent wall are studied to determine the external work rate and internal energy dissipation rate. The equations are obtained to calculate the critical depth of plastic zone under sliding mode

considering the effect of displacement direction of the retaining wall. The results show that Rankine and other theories are special cases of the recommended method. The critical depth of plastic zone increases with the increase of the angle between the displacement direction of wall and the horizontal plane

and with the increase of the values of cohesion and friction angle of wall-soil interface and the values of cohesion and friction angle of backfill. However

when the wall displaces horizontally

the critical depth of plastic zone becomes constant regardless of the change of friction angle of wall-soil interface.

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