A new BEM formulation for two- and three-dimensional elastoplasticity using particular integrals

New two- and three-dimensional BEM formulations are developed for elastoplastic stress analysis. These new procedures differ from previous work in that volume integration is not required to incorporate the nonlinear effects in the analysis. Instead, initial stress rates are introduced in the BEM system via particular integrals. The present formulation is implemented in a general-purpose multi-region system, and examples are presented to demonstrate the accuracy and versatility of the method.