Fundamental equations for limit analysis of soil mass and generalized method of limit equilibrium

HUANG Chuan-zhi

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

Fundamental equations for limit analysis of soil mass and generalized method of limit equilibrium

更新时间：2026-06-25

- Fundamental equations for limit analysis of soil mass and generalized method of limit equilibrium
- Vol. 28, Issue 10, (2007)
- 作者机构：
  
  天津港湾工程研究所,天津,300222
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU432
- Online First：15 October 2013，
  
  Published：2007
- 稿件说明：
移动端阅览
HUANG Chuan-zhi. Fundamental equations for limit analysis of soil mass and generalized method of limit equilibrium[J]. 2007, 28(10).
DOI：

HUANG Chuan-zhi. Fundamental equations for limit analysis of soil mass and generalized method of limit equilibrium[J]. 2007, 28(10). DOI：

摘要

对屈服条件与屈服函数的极值条件进行了讨论，在不需要流动法则的情况下建立了速度方程。平衡方程、屈服条件与屈服函数的极值条件、速度方程就是土体极限分析的基本方程。这样，对荷载、速度边界条件（包括荷载与速度边界同时存在），均构成了完备的极限平衡问题。对边坡稳定问题的上、下限定理给出了严密的证明，并建立了求解极限平衡问题的广义极限平衡法，均质土的计算结果表明，圆弧滑动面的广义极限平衡法与对数螺旋面的上限解法基本一致。

Abstract

The extreme conditions of yield condition and yield function are discussed; and a velocity equation is established under the condition that no flow rule has been required. The equilibrium equation

extreme conditions of yield condition and yield function

and velocity equation are the fundamental equations for limit analysis of soil mass

which constitute a complete limit equilibrium problem of the boundary conditions for loading and velocity

including the coexistence of boundary conditions for loading and velocity. The upper and lower bound theorem of slope stabilization is rigorously proved; and a generalized method of limit equilibrium has been established to solve the problem of limit equilibrium. The calculated result of homogeneous soil indicates that the generalized method of limit equilibrium for a circular slip surface is basically identical with the upper bound solution for a logarithmic spiral surface.

关键词

Keywords

references

Views

1917

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Study of punching failure mode and safe thickness of pile foundation in karst region

Upper bound solution for bearing capacity of circular shallow foundation based on limit analysis

Numerical simulation of the bearing capacity of a foundation near slope using the upper bound finite element method

Numerical model and validation of failure mode for underground caverns in layered rock mass

Investigation on finite element upper bound solution based on rigid translatory moving element

Related Author

ZHAO Ming-hua

LEI Yong

ZHANG Rui

ZHANG Guo-xiang

FU Jiang-shan

ZHAO Ming-hua

HU Xiao

ZHANG Rui

Related Institution

Institute of Geotechnical Engineering, Hunan University

School of Civil and Architectural Engineering, Central South University

College of Resources and Environment Engineering, Guizhou University

School of Civil Engineering, Central South University

School of Civil and Hydraulic Engineering, Hefei University of Technology

AI问答

⁰