In this paper, the effects of porosity distribution and piezoelectric layers on natural frequencies flutter aerodynamic pressure smart thick porous plates in supersonic airflow are studied. Based third-order shear deformation plate theory first-order piston theory, functionally graded embedded by investigated. The effective material properties, such as Young’s modulus mass density considered to...

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...

Abstract This article provides a new finite-element procedure based on Reddy’s third-order shear deformation plate theory (TSDT) to establish the motion equation of functionally graded porous (FGP) sandwich plates resting Kerr foundation (KF). Although TSDT is attractive, it cannot be exploited as expected in analysis due difficulties satisfying zero stress boundary condition. In this study, pr...

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...