Advanced development of boundary element method for two-dimensional dynamic elasto-plasticity

Abstract

In this paper, the formulation and numerical implementation of two-dimensional transient dynamic elasto-plasticity by the boundary element method is presented. This formulation considers material non-linearity and is based on an initial stress approach. It is the first ever attempt to solve two-dimensional dynamic plasticity problems by the boundary element method. The boundary integral equations are cast in an incremental form and are solved using a time stepping technique. The Newton-Raphson iterative scheme is adopted in conjunction with the non-linear constitutive equation to determine the incremental initial stresses. This formulation incorporates quadratic isoparametric elements for both the boundary and volume discretizations. The accuracy and stability of the methodology are demonstrated via numerical examples. It has been implemented in a general purpose, multi-region boundary element software known as GPBEST.