Elastoplastic Boundary Element Method Formulation for Plates with Geometrical Non-Linearity

摘要

In this paper a Boundary Element Method (BEM) formulation for elastoplastic analysis of plates with geometrical nonlinearity is presented. The boundary integral equations are derived from Kirchhoff's theory. An initial stress field and von Karman hypothesis are considered to take into account the material and geometrical nonlinearities, respectively. The von Mises criterion with linear isotropic hardening is considered to evaluate the plastic zone. Isoparametric linear elements are used to approximate the boundary unknown values while triangular internal cells with linear shape function are adopted to evaluate the domain value influences The nonlinear system of equations is solved by using an implicit scheme together with the consistent tangent operator presented along this paper. Numerical examples are presented to demonstrate the validity and the accuracy of the proposed formulation.