Elastoplastic analysis of Reissner׳s plates by the boundary element method

Abstract

A new formulation for plate bending elastoplastic analysis by the Boundary Element Method (BEM) using Reissner׳s theory is presented in this work. The classical theory of plasticity is considered, with an initial strain formulation and using von Mises׳s yield criterion. The basic governing equations are first presented, in which plastic strains due to bending are included. Integral equations are presented for displacements at internal and boundary points and also for stress resultants at internal points, including the expressions for the new tensors and free terms. Numerical implementation is performed by employing quadratic boundary elements and constant triangular internal cells, both with linear geometry. An incremental–iterative process is used in order to solve the elastoplastic equations. Some numerical examples are presented at the end of the work and the corresponding results are validated by comparing them with results of other works, obtained from numerical or analytical methods.