eng Science and Education Publishing American Journal of Mechanical Engineering 2328-4110 2016-01-11 4 1 11 20 10.12691/ajme-4-1-3 AJME2016413 article Fatemeh Farhatnia farhatnia@iaukhsh.ac.ir 1 Mechanical Engineering department, Islamic Azad University Khomeinishahr Branch, Isfahan, Iran 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. http://pubs.sciepub.com/ajme/4/1/3/ajme-4-1-3.pdf Mindlin rectangular plates power law FG distribution two parametric elastic foundations