Application of Symmetric Galerkin Boundary Element Method in Limit Analysis of Plane Problems
ZHAO Ya nan,ZHANG Xiao feng
DOI:10.11835/j.issn.1674-4764.2000.06.028
Received ,Revised May 01, 2000, Accepted , Available online July 01, 2015
Volume ,2000,Pages 112-116
- Abstract
Based on Melan's theorem, the symmetric Galerkin boundary element method (SGBEM) is used to discretize two dimensional structures and a computational formulation of structural limit analysis is established. The self equilibrium stress field is constructed by linear combination of several basic vectors, which are the stress differences between different iteration steps at the same increment using the traditional elastoplastic incremental method. Then the complex method is used to solve the nonlinear programming directly, so that the lower bound load multiplier of two dimensional structures is obtained. The validation of the present method has been confirmed by some numerical examples.