3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS

Abstract

This paper investigates the static behavior of non-uniform bi-directional functionally graded (FG) circular plates embedded on gradient elastic foundations (Winkler- Pasternak type) and subjected to non-uniform asymmetric transverse and in-plane shear loads. The governing state equations are derived in terms of displacements 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 radial directions according to an exponential function. These equations are solved by means semianalytical method using state-space based differential quadrature method. Numerical results are displayed to clarify the effects of foundation stiffnesses, material heterogeneity indices, various foundation patterns, foundation grading indices, loads ratio and geometric parameters on the displacement and stress fields. The results are reported for the first time and the new results can be used as a benchmark solution for future researches

Keywords

• Functionally graded, circular Plate, Gradient elastic foundation, Elasticity, Semi-analytical method, Boundary condition

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