Lower bound limit analysis of three-dimensional elastoplastic structures by boundary element method |
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Authors: | Liu Ying-hua Zhang Xiao-feng Cen Zhang-zhi |
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Institution: | Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R.China |
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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.
Foundation items: the National Natural Science Foundation of China (19902007); the Foundation for National Excellent Doctoral Thesis (200025)
Biography: Liu Ying-hua (1968 ≈) |
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Keywords: | BEM lower bound limit analysis self-equilibrium stress field nonlinear programming complex method |
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