A variational method for computing of active earth pressure 
under general conditions

CHEN Jian-gong; XU Xiao-he; ZHANG Hai-quan

doi:10.16285/j.rsm.2015.S2.041

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

A variational method for computing of active earth pressure under general conditions

更新时间：2026-06-25

- A variational method for computing of active earth pressure under general conditions
- Vol. 36, Issue S2, Pages: 310-314(2015)
- 作者机构：
  
  1. 重庆大学土木工程学院,重庆,400045
  2. 重庆大学山地城镇建设与新技术教育部重点实验室,重庆,400045
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2015.S2.041
  CLC： TU443
- Online First：14 June 2018，
  
  Published：2015
- 稿件说明：
移动端阅览
CHEN Jian-gong, XU Xiao-he, ZHANG Hai-quan. A variational method for computing of active earth pressure under general conditions[J]. 2015, 36(S2): 310-314.
DOI：

CHEN Jian-gong, XU Xiao-he, ZHANG Hai-quan. A variational method for computing of active earth pressure under general conditions[J]. 2015, 36(S2): 310-314. DOI： 10.16285/j.rsm.2015.S2.041.

摘要

基于库仑土压力理论的假设，主动土压力是由墙后填土在极限平衡状态下出现的滑动体产生，从墙后滑动体整体静力平衡方程出发，推导出坡面起伏且有不均匀超载、倾斜墙背、黏性填土等一般情况下的主动土压力泛函极值的等周模型。在该基础上，引入拉格朗日乘子，将主动土压力问题转化为确定含有两个函数自变量的泛函极值问题。依据泛函取极值时必须满足的欧拉方程

得到了线性的滑面函数和沿滑面线性分布的法向应力函数。结合边界条件和横截条件，主动土压力泛函极值问题进一步转化为单个未知量的一维方程问题。通过算例，土压力计算结果与库仑土压力理论解完全一致，但土压力作用点在墙体的相对位置却并非总是作用在墙高的1/3 处。通过算例进一步表明，坡面的起伏和坡面超载的不均匀性对主动土压力大小和作用点位置有显著的影响。

Abstract

On the basis of Coulomb’s concept that the active earth pressure against the back of a retaining wall is due to the thrust force exerted by a sliding wedge of soil between the back of the wall. Considering an inclined rough retaining wall under the general conditions such as curvilinear fill

cohesive soil and uneven surface load

the functional extreme-value isoperimetric model about active earth pressure is deduced based on the force equilibrium equations of the sliding mass. Then the problem of active earth pressure is transcribed as the functional extreme-value problem of two undetermined functions by means of Lagrange undetermined multiplier. According to Euler equations

linear sliding surface function and linear normal stress function are obtained. Combined with the boundary conditions and transversality conditions

the problem of active earth pressure turned to be the solution of a one-dimensional equation. The magnitude of active earth pressure calculated by variational method is the same as that of Coulomb’s theory; and the location of application point of earth pressure is not always at 1/3 height of the retaining wall by case studies. In addition

curvilinear fill and uneven surface load also have significant effect on the magnitude and the location of application point of active earth pressure.

关键词

Keywords

references

Views

215

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

A variational method for calculating the active earth pressure on a flexible retaining wall

Unified solution to active earth pressure and passive earth pressure on retaining wall considering soil arching effects

Calculation of active earth pressure for cohesive soil under action of strip surcharge

Research on active earth pressure behind retaining wall adjacent to existing basements exterior wall considering soil arching effects

Experimental study on shear characteristics of mudstone under combined action of stress-dry-wet cycles

Related Author

CHEN Jian-gong

ZHOU Ting-qiang

HU Ri-cheng

ZHANG Jian

WANG Xin-Zheng

HU Rui-lin

ZHU Jian-ming

ZHAO Qi

Related Institution

School of Civil Engineering, Chongqing University

Key Laboratory of Engineering Geomechanics, Institute of Geology and Geophysics, Chinese Academy of Sciences

Department of Civil Engineering, Nanyang Normal University

College of Architecture Engineering, North China University of Technology

Patent Examination Cooperation Jiangsu Center of the Patent Office, State Intellectual Property Office of P..C, Suzhou

AI问答

⁰