Initial stress formulation for elastoplastic analysis by improved multiple-reciprocity boundary element method

Abstract

Elastoplastic problems can be easily solved by the boundary element method. However, even if BEM is used, domain integrals are necessary for elastoplastic problems. The conventional multiple-reciprocity boundary element method cannot solve the elastoplastic problem, because the distribution of initial stress or initial strain cannot be given analytically. This paper shows that the elastoplastic problem can be solved without the domain integral by the improved multiple-reciprocity boundary element method. In this method, the distribution of initial stress is interpolated using a boundary integral equation. A new computer program was developed and applied to several elastoplastic problems.