A Theoretical Analysis of Static Response in FG Rectangular Thick Plates with a Four-Parameter Power-Law Distribution

Fatemeh Farhatnia^1,

¹Mechanical Engineering department, Islamic Azad University Khomeinishahr Branch, Isfahan, Iran

Cite this paper:
Fatemeh Farhatnia. A Theoretical Analysis of Static Response in FG Rectangular Thick Plates with a Four-Parameter Power-Law Distribution. American Journal of Mechanical Engineering. 2016; 4(1):11-20. doi: 10.12691/ajme-4-1-3

Abstract

In this paper, we proposed a simple mathematical procedure to solve the differential equations governing the buckling and bending analysis of FG thick rectangular plates resting on two-parametric foundation based on Mindlin assumption. All edges are set on the simply supported conditions. Young modulus of the FG plate was assumed to vary according to a simple four-parameter power law across the thickness direction. For bending analysis, the plate was subjected to two kinds of loading: sinusoidal and uniform. For bucking analysis, two kinds of in-plane loading were applied to the plate: uniaxial and biaxial. Variations of FG material variation profile, thickness ratio, and foundation parameters on buckling critical load and out-plane displacement were examined. The distribution of axial and shear stress across the thickness, when the plate is exposed to uniform transverse loading, was further studied.

Keywords:
Mindlin rectangular plates power law FG distribution two parametric elastic foundations

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