Buckling Analysis of FG GPLRC Plate Using a Naturally Stabilized Nodal Integration Meshfree Method

This study presents a meshfree approach using a naturally stabilized nodal integration (NSNI) combined with a higher-order shear deformation theory (HSDT) for buckling analysis of functionally graded graphene platelets reinforced composite (FG GPLRC) plates. Various types of distributed graphene platelets (GPLs) consisting of uniform and functionally graded are considered. The Poisson’s ratio, density and Young’s modulus are calculated by using the rule of mixtures and modified Halpin–Tsai model, respectively. Discretize governing equations are deduced from the principle of virtual work and solved by a moving Kriging (MK) meshfree method to determine the buckling load factor of the FG GPLRC plates. Due to using the direct nodal integration and augmenting of stability components, the computational cost is reduced when comparing to the high-order Gauss quadrature scheme. Through numerical examples, the buckling load factor of FG GPLRC plates is affected by the geometries, boundary conditions and distributed patterns of GPLs.