Lower bound theory of 3-D plastic limit analysis and its application

WANG Jun-xing; WU Ya-feng; LI Ze

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Lower bound theory of 3-D plastic limit analysis and its application

更新时间：2026-06-25

- Lower bound theory of 3-D plastic limit analysis and its application
- Vol. 25, Issue 10期　刊出日, (2004)
- 作者机构：
  
  武汉大学水资源与水电工程科学国家重点实验室,湖北,武汉,430072
- 作者简介：
- 基金信息：
- DOI：
  CLC： TB115
- Online First：25 July 2014，
  
  Published：2004
- 稿件说明：
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WANG Jun-xing, WU Ya-feng, LI Ze. Lower bound theory of 3-D plastic limit analysis and its application[J]. 2004, 25(10期　刊出日).
DOI：

WANG Jun-xing, WU Ya-feng, LI Ze. Lower bound theory of 3-D plastic limit analysis and its application[J]. 2004, 25(10期　刊出日). DOI：

摘要

介绍了三维塑性极限分析下限法的基本原理。将计算区域离散为有限个三维空间单元，利用极限分析中的下限定理，借助有限元思想建立数学规划模型，并引入非线性规划的数值方法寻求问题的下限解。以均匀土质边坡的极限荷载作为算例，比较了所得数值解与经典塑性力学理论解，论证了该方法的正确性。

Abstract

This paper describes the lower bound theory of 3-D plastic limit analysis. The static stress field is established by means of 3-D finite element technique. Based on the lower bound principles of limit analysis

a mathematical model is established by means of finite element method. The lower bound solution of the model is obtained by nonlinear programming. As an example

the bearing capacity of a homogeneous slope is analyzed

and the comparison between lower bound limit analysis and classical plasticity theory illustrates the correctness of the method.

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Related Institution

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