Journal of Shanghai Jiao Tong University ›› 2003, Vol. 37 ›› Issue (12): 1923-1926.doi: 10.16183/j.cnki.jsjtu.2003.12.026

Special Issue: 王建华教授学报发文专辑

Previous Articles    

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


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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