Initial strain formulation for meshless elastoplastic analysis by improved multiple-reciprocity BEM

摘要

In general, internal cells are necessary to solve elastoplastic problems using a conventional boundary element method. In that method, however, the merit of BEM, which is easy preparation of data, is lost. The conventional multiple-reciprocityboundary element method cannot solve the elastoplastic problem, because the distribution of initial strain or initial stress cannot be determined analytically. In this paper we show that two-dimensional elastoplastic problems can be solved without usinginternal cells, using the improved multiple-reciprocity boundary element method. An initial strain formulation is adopted and the distribution of initial strain is interpolated using boundary integral equations. A new computer program was developed andapplied to several problems.