Post buckling analysis of Reissner plates by the boundary element method

Abstract

In this paper, non-linear analysis of Reissner plates is presented using the boundary element method. The non-linear buckling terms are treated as body forces and a non-linear boundary integral equation is derived by coupling two-dimensional elasticity and shear deformable plate bending integral equations. Domain integrals involving non-linear buckling terms are transformed to boundary integrals using the dual reciprocity method. An incremental load technique is developed to solve the non-linear equations for non-linear buckling of plates under compressive loadings. Three benchmark numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method.