New quasi-three-, and two-dimensional trigonometric-cubic monomial HSDT for thermal buckling and thermo-mechanical bending analyses of FGM symmetrical/non-symmetrical sandwich plates with hard/soft core

This paper analyses the thermal buckling and thermomechanical bending responses of sandwich plates with FGM face layers, using new quasi-three-, and two-dimensional HSDTs in a unified theoretical formulation. The theory includes both the shear strain illustrated by a new shape function and the stretching effect. The theory makes use of the Hamilton principle to derive the plate governing equations. Then, the Navier procedure solved them for the simply supported boundary conditions. The theory assumed the thermal buckling loads to be uniform, linear, and non-linear distributed through the plate's thickness, the FGM layers to be iso-tropically modelled according to a power law and the core layer to be isotropic and homogeneous. After validating the model's analytical solutions with those from the literature (to confirm the model's ac-curacy), various innovative studies extended the theory. They cover the effects of important parameter variations related to the plate dimensions, material, and the development of the proposed HSDT on the central deflection, stresses, and critical buckling temperature. The theory solutions also present the good performance of the current generalized formulation and the significant influence of the thermal effect. References in the literature can use these findings as foundational data for future research on FGM plates.