Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (12): 1466-1474.
刘应华, 张晓峰, 岑章志
LIU Ying-hua, ZHANG Xiao-feng, CEN Zhang-zhi
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.
中图分类号: