STATIC ANALYSIS OF TWO DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATE UNDER COMBINED AXISYMMETRIC BOUNDARY CONDITIONS

Year 2012, Volume: 4 Issue: 3, 36 - 48, 01.09.2012

A. Behravan Rad

Abstract

This paper is concerned with the theoretical analysis of static behavior of the two-directional functionally graded circular plate embedded on two parameter elastic foundation (Winkler- Pasternak type) under axisymmetric transverse and shear loads by using semi-analytical method. This method gives an analytical solution in the thickness and approximate solution in the radius directions by employing the state-space based differential quadrature method. The governing state equations are derived based on 3D theory of elasticity, and assuming the material properties of the plate except the Poisson’s ratio varies continuously throughout the thickness and radius directions in the form of an exponential function. The stresses and displacements distribution are obtained by expanding the state variables and solving these state equations. The effects of foundation stiffnesses, material heterogeneity indices, loads ratio and the plate geometric parameter on the deformations and stresses distribution of the FG circular plate are investigated in numerical examples. The main foundings are: i- the mechanical behavior of the plate with the softer (metal rich) surface supported by elastic foundation differ significantly from that of the plate with the harder (ceramic rich) surface subjected to the same foundation.ii- the effecte of shear interaction on in-plain stresses is much more than the other stress components.The results are reported for the first time and are discussed in detail

Keywords

FG Circular Plate, Elastic Foundation, Elasticity, State - Space, DQ Method

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