Buckling of functionally graded graphene platelets reinforced porous composite plate with defects

This paper is the first to employ the generalized differential quadrature finite element method (GDQFEM) to investigate the buckling behavior of functionally graded graphene platelets reinforced porous composite (FGGPLRPC) plate with defects, including a central crack, an elliptical hole, and an elliptical hole with two cracks. Based on the Mindlin-Reissner plate theory and Hamilton's principle, the governing equations and boundary conditions are derived. The GDQFEM is applied to the meshing, mapping, and numerical solution of the FGGPLRPC plates with defects. The results indicate that as the crack length increases, the critical buckling load gradually decreases. Furthermore, the impact of crack length on the buckling load is significantly greater than that of hole size. The study also reveals that when the defect is positioned symmetrically on the plate, the critical buckling load remains unchanged; however, when the defect is located at the exact center of the plate, the critical buckling load reaches its minimum value.