Postbuckling of FGM Cylindrical Panels Resting on Elastic Foundations Subjected to Axial Compression under Heat Conduction

Abstract

A postbuckling analysis is presented for functionally graded material (FGM) cylindrical panels resting on elastic foundations subjected to axial compression under heat conduction. Two kinds of micromechanics models, namely, Voigt model and Mori-Tanaka model, are considered. The material properties of FGMs are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents and are assumed to be temperature-dependent. The formulations are based on a higher-order shear deformation theory with a von Kármán-type of kinematic nonlinearity. The panel-foundation interaction and thermal effects are also included. The nonlinear prebuckling deformations and initial geometric imperfections of the panel are both taken into account. A singular perturbation technique along with a two-step perturbation approach is employed to determine the buckling loads and postbuckling equilibrium paths. The effects of volume fraction index, temperature variation, foundation stiffness, panel curvature ratio as well as the in-plane boundary condition of straight edges on the postbuckling behavior of FGM cylindrical panels are discussed in detail.