Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (12): 1466-1474.

• 论文 • 上一篇    下一篇

LOWER BOUND LIMIT ANALYSIS OF THREE-DIMENSIONAL ELASTOPLASTIC STRUCTURES BY BOUNDARY ELEMENT METHOD

刘应华, 张晓峰, 岑章志   

  1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R.China
  • 收稿日期:2001-11-02 修回日期:2003-08-10 出版日期:2003-12-18 发布日期:2003-12-18
  • 通讯作者: YANG Gui-tong,Original Member of Editorial Committee,AMM
  • 基金资助:
    the National Natural Science Foundation of China(19902007);the Foundation for National Excellent Doctoral Thesis(200025)

LOWER BOUND LIMIT ANALYSIS OF THREE-DIMENSIONAL ELASTOPLASTIC STRUCTURES BY BOUNDARY ELEMENT METHOD

LIU Ying-hua, ZHANG Xiao-feng, CEN Zhang-zhi   

  1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R.China
  • Received:2001-11-02 Revised:2003-08-10 Online:2003-12-18 Published:2003-12-18
  • Supported by:
    the National Natural Science Foundation of China(19902007);the Foundation for National Excellent Doctoral Thesis(200025)

摘要: Based on the lower bound theorem of limit analysis, a solution procedure for limit analysis of three-dimensional elastoplastic structures was established using conventional boundary element method (BEM). The elastic stress field for lower bound limit analysis was computed directly by three-dimensional boundary element method (3-D BEM). The self-equilibrium stress field was constructed by the linear combination of several self-equilibrium "basis vectors" which can be computed by elastic-plastic incremental iteration of 3-D BEM analysis. The lower bound limit analysis problem was finally reduced to a series of nonlinear programming sub-problems with relatively few optimal variables. The complex method was used to solve the nonlinear programming sub-problems. The numerical results show that the present solution procedure has good accuracy and high efficiency.

Abstract: Based on the lower bound theorem of limit analysis, a solution procedure for limit analysis of three-dimensional elastoplastic structures was established using conventional boundary element method (BEM). The elastic stress field for lower bound limit analysis was computed directly by three-dimensional boundary element method (3-D BEM). The self-equilibrium stress field was constructed by the linear combination of several self-equilibrium "basis vectors" which can be computed by elastic-plastic incremental iteration of 3-D BEM analysis. The lower bound limit analysis problem was finally reduced to a series of nonlinear programming sub-problems with relatively few optimal variables. The complex method was used to solve the nonlinear programming sub-problems. The numerical results show that the present solution procedure has good accuracy and high efficiency.

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