Post buckling analysis for composite plate by finite block Petrov-Galerkin method

Based on the Lagrange series interpolation, the Finite Block Petrov-Galerkin Method (FBPGM) has been developed to the non-linear analysis of Reissner plate theory with Functionally Graded Materials (FGMs). By introducing the mapping technique, a quadratic type block is mapped into a normalized domain with 8 seeds. Then the domain nodes distribution can be determined by using shape functions. The load incremental technique and displacement control scheme are adopted to solve nonlinear problems including large deformation and post buckling of plates under pressure load and in-plane compressive forces. Numerical examples are given to demonstrate the efficiency and accuracy of proposed method in comparing with the Boundary Element Method (BEM), point collocation method (PCM) and Finite Element Method (FEM).