1. Lower bound limit analysis of three-dimensional elastoplastic structures by boundary element method.
- Author
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Liu Ying-hua, Zhang Xiao-feng, and Cen Zhang-zhi
- Subjects
- *
PLASTIC analysis (Engineering) , *BOUNDARY element methods , *ELASTOPLASTICITY , *EQUILIBRIUM , *NONLINEAR programming - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2003
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