The present investigation provides buckling and parametric analysis of tridirectionally functionally graded material (TDFGM) skew sandwich plates supported by elastic foundations based on Multiquadric Radial Basis Function (MQRBF) based Higher-Order Shear Deformation Theory (HSDT). Hamilton’s principle is used to derive differential equations considering transverse shear deformation and skew geometry effects. The effective material response of the TDFGM plates is analyzed using a power-law-based model with a modification for material variation in the length, breadth, and thickness directions, giving a realistic depiction of multifunctionality. Displacement fields are accurately approximated by the RBF meshfree method efficiently without meshing, which suits complex geometries. A parametric study examines the influence of skew angle, gradient indices, core-to-face thickness ratio, boundary conditions, and elastic foundation stiffness on critical buckling load and stability response. Outcomes show that larger skew angle and foundation stiffness improve plate stability, but larger gradient indices decrease it owing to material softening. The proposed MQRBF-HSDT approach exhibits high convergence, computational efficacy, and precision and is thus an effective tool in the analysis of buckling and stability of TDFGM skew sandwich plates under elastic foundations.
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