Assessing the effect of porosity on elastoplastic buckling behavior of functionally graded plates using meshfree Tchebychev-RPIM

Three-dimensional elastoplastic buckling characteristics of porous functionally graded (FG) plates are studied by a novel meshfree method, which exploits the Tchebychev‐radial point interpolation shape function. Tchebychev polynomials and radial basis functions are combined to achieve superior convergence and numerical accuracy in constructing the shape function. The governing equations are derived using the principle of virtual work, with the involvement of 3D full Green–Lagrange nonlinear strains. The incremental plastic deformation is modeled by the Prandtl-Reuss flow rule along the isotropic hardening von Mises criterion. The effective elastoplastic properties of the FG material (FGM) are evaluated using the Tamura–Tomota–Ozawa homogenization model. The results show excellent agreement with those available in the literature. The influence of different porosity parameters, power‐law exponents, thickness ratios, aspect ratios, porosity distributions, boundary conditions, and loading ratios on the elastoplastic buckling behavior of the porous FG plate is evaluated.