Three‐dimensional elastoplastic analysis by triple‐reciprocity boundary element method

TL;DR: In this article, the authors discuss several similar strategies for solving the problem of elas-to-plastic problems in the context of a general formulation, which includes ASSOCIATED and Non-Associated PLASTIC RELATIONS and StRAIN HARDENING as well as STRAIN SOFTENING.

Abstract: In general, internal cells are required to solve elastoplasticity problems using a conventional boundary element method (BEM). However, in this case, the merit of BEM, which is the easy method of preparation of data, is lost. The conventional multiple‐reciprocity boundary element method (MRBEM) cannot be used to solve the elastoplasticity problems because the distribution of initial strain or initial stress cannot be determined analytically. In this paper, we show that two‐dimensional elastoplasticity problems can be solved without the use of internal cells, by using the triple‐reciprocity boundary element method. An initial strain formulation is adopted and the initial strain distribution is interpolated using boundary integral equations. A new computer programme was developed and applied to several problems. Copyright © 2001 John Wiley & Sons, Ltd.

TL;DR: In this article, the distribution of initial stress is interpolated by using a boundary integral equation, and a new computer program is developed and applied to several elastoplastic problems.

TL;DR: The integrated polyharmonic functions are derived and the surface, which is obtained using these functions, is effectively smooth even if lower-order functions are used.