A hyperbolic shear and normal deformation theory for deflection and stresses of FGM sandwich plate

Abstract

In the present paper, the static analysis of functionally graded sandwich plates subjected to thermo mechanical loads is studied. In this model, the displacements vary as a hyperbolic function through the thickness of the plate and satisfy stress boundary conditions on the top and the bottom of the plate. The material properties of the sandwich plate faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of volume fraction of material constituents. The core layer is still homogeneous and made of an isotropic material. The governing equations of equilibrium for FG sandwich plates can be obtained using the virtual work principle, and the closed form solutions are obtained by using Navier technique. The accuracy of the present analysis is ascertained by comparing it with various results available in the literature. The influences played by side-to-thickness ratio, aspect ratio and volume fraction distributions are investigated.