Lower Bound Limit Analysis of Three-Dimensional Elastoplastic Structures by Boundary Element Method

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

Volume 24 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(12): 1301-1308

LIU Ying-hua, ZHANG Xiao-feng, CEN Zhang-zhi. Lower Bound Limit Analysis of Three-Dimensional Elastoplastic Structures by Boundary Element Method[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1301-1308.

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Lower Bound Limit Analysis of Three-Dimensional Elastoplastic Structures by Boundary Element Method

Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China

Received Date: 2001-11-02
Rev Recd Date: 2003-08-10
Publish Date: 2003-12-15

Abstract

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.
- BEM,
- lower bound limit analysis,
- self-equilibrium stress field,
- nonlinear programming,
- complex method

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References

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