Analytical modeling of functionally graded plates under general transverse loads

Abstract

In this paper, analytical model of functionally graded plates in the case of small deflections is investigated. The material properties of functionally graded plates (Young's modulus and Poisson's ratio) are assumed to vary continuously through the thickness of the plate, according to a power law distribution of the volume fraction of the constituents. Two types of boundary conditions for plate are presented. The fundamental equations are obtained by the aid of Von-Karman theory considering small transverse deflections. Then, the solution is obtained by minimization of the total potential energy. A comprehensible flowchart of mathematical code is presented to show how the stresses and deflections can be obtained at any point of the plate. The comparison made between results of the current study and other literature shows a good agreement.