This paper deals with the nonlinear free vibration of thick annular functionally graded material plates. The thickness is assumed to be constant. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on the first-order shear deformation plate theory and...

With the development of advanced manufacturing technologies, importance functionally graded materials is growing as they are advantageous over widely used traditional composites. In this paper, we present a novel peridynamic model for higher order functional plates various thicknesses. Moreover, formulation eliminates usage shear correction factors. Euler–Lagrange equations and Taylor’s expansi...

1. Ramu I, Mohanty SC. Modal analysis of functionally graded material plates using finite element method. Procedia Materials Science. 2014; 6:460-467.‏. Google Scholar

This paper presents the governing equations and analytical solutions of classical shear deformation theories functionally graded axisymmetric circular plates. The classical, first-order, third-order are presented, accounting for through-thickness variation two-constituent material, modified couple stress effect, von Kármán nonlinearity. Analytical bending linear theories, some which not readily...