Buckling response of two-directional skew FGM plate resting on elastic foundation: A RBFMC approach

Abstract

A radial basis function-based meshless collocation (RBFMC) technique is developed for the initial buckling response of two-directional functionally graded material (TDFGM) plate. The collocation method in the strong form formulation is introduced into the framework of radial basis function (RBF) analysis as a viable replacement for the Galerkin method in the weak form formulation to lower the computing cost and increase the convergence rate. By considering the higher-order shear deformation theory (HSDT), the need for a shear correction factor is ignored. The governing differential equations of the TDFGM plate are obtained via the energy principle and discretized using RBF. The effectiveness and robustness of the introduced technique are demonstrated through several benchmark problems. It is observed that the suggested technique can yield more accurate results with a high convergence rate. Subsequently, the grading index, span-to-thickness ratio, and elastic foundation on the buckling analysis of TDFGM plates are thoroughly examined. The simulation results and benchmark solutions agree well. Copyright © 2025 Techno-Press, Ltd.