Applied Mathematics and Mechanics

, Volume 24, Issue 12, pp 1466–1474 | Cite as

Lower bound limit analysis of three-dimensional elastoplastic structures by boundary element method

  • Liu Ying-hua
  • Zhang Xiao-feng
  • Cen Zhang-zhi


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.

Key words

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

Chinese Library Classification number


2000 Mathematics Subject Classification

74L10 74S15 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Liu Ying-hua
    • 1
  • Zhang Xiao-feng
    • 1
  • Cen Zhang-zhi
    • 1
  1. 1.Department of Engineering MechanicsTsinghua UniversityBeijingP.R. China

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