上海交通大学学报

上海交通大学学报 ›› 2003, Vol. 37 ›› Issue (12): 1923-1926.doi: 10.16183/j.cnki.jsjtu.2003.12.026

所属专题： 王建华教授学报发文专辑

• • 上一篇    

c-O材料的三维上限分析

杨洪杰1(), 沈珠江2, 王建华1, 张宙云3   

  1. 1.上海交通大学土木工程系，上海 　200240
    2.清华大学水利水电工程系，北京 　100084
    3.山东省莱州市水利局，莱州 　261400
  • 收稿日期:2002-12-26 出版日期:2003-12-01 发布日期:2021-04-25
  • 作者简介:杨洪杰（1972-)，男，山东临沂人，博士生，主要研究方向为土力学中的极限分析．电话（Tel.): 021-54740760; E-mail: dr_yang@sjtu.edu.cn.

3D Upper Bound Limit Analysis for c-φ Materials

YANG Hong-jie1(), SHEN Zhu-jiang2, WANG Jian-hua1, ZHANG Zhou-yun3   

  1. 1.Dept. of Civil Eng. , Shanghai Jiaotong Univ. , Shanghai 200240, China
    2.Dept. of Hydraulic and Hydroelectric Eng. , Tsinghua Univ. , Beijing 100084
    3.Laizhou Water Conservancy Bureau of Shandong, Laizhou 261400
  • Received:2002-12-26 Online:2003-12-01 Published:2021-04-25

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摘要：

提出用上限法对c-O材料进行三维极限分析的原理和方法．分析过程基于非线性规划和线性有限元法，通过求解一个非线性规划问题，使外荷载消耗的功率最小，求得结构的极限荷载．算例分析表明，该方法是正确可行的．它避开了传统的有限元法中c-O材料复杂的本构关系，直接得到结构的极限荷载的上限．

关键词: 上限分析, 非线性规划, c-O材料

Abstract:

This article described a method for upper bound analysis. The whole process is based on nonlinear programming and linear finite elements. By solving a non-linear optimization problem, i. e., searching the minimum value of power dissipated by external forces, the upper bound loads can be obtained. The numerical examples suggest that this method is correct and practicable. It can obtain the upper bound limit load directly without considering the complicated stress strain relationship of c-O materials in traditional finite element method.

Key words: upper bound analysis, nonlinear programming, c-O materials

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