The BEM applied to plate bending elastoplastic analysis using Reissner's theory

An application of the boundary element method (BEM) to plate bending elastoplastic analysis is presented. Reissner's plate bending theory, which caters to thin and thick plates, is considered.

First, the governing equations are shown, in which bending plastic strains are allowed for. Thereafter, the integral equations are presented, including those for moments and shear resultants at internal points. The numerical implementation is carried out using the integral equations discretized in quadratic boundary elements and constant internal cells. An incremental-iterative method is employed to solve the elastoplastic equations.

Numerical examples are presented at the end of the work to illustrate the applicability of the formulation.