Analysis Of Elastoplastic Reissner’s Plates With Multilayered Approach By The Boundary Element Method

Abstract

The boundary element method applied to Reissner’s theory for elastoplastic layered
plate bending analysis is considered. As the plate is layered, the plasticity progress can be
evaluated along the plate thickness. Considering the integral equations of the problem and a
local coordinate system, the stresses and strains at the mid surface of each layer are obtained.
Performing integrations along all layers, the bending moments and shear forces are obtained for
points situated at the mid surface of the plate. It is assumed that the plastic strains are only due
to bending. In each layer, the value of the yield stress for the mid surface is considered for all
points located along its thickness. The integral equation is discretized using the boundary
element method. An incremental-iterative algorithm for solving the system of nonlinear equations
is used. Increments in stresses and strains are calculated in each layer. Some applications were
solved and compared with other numerical and analytical results.