Thermomechanical Elastic Post-Buckling of Functionally Graded Materials Plate with Random System Properties

Abstract

This paper presents the stochastic post-buckling response of elastically supported FGM plate with random system properties subjected to uniform and nonuniform temperature change with temperature-dependent and -independent material properties. The FGMs plate is supported with two parameters of Pasternak foundation with Winkler cubic nonlinearity. The basic formulation is based on higher-order shear deformation theory (HSDT) with von-Karman nonlinearity using modified C⁰ continuity. A direct iterative-based nonlinear finite element method combined with first-order perturbation technique is used to compute the second-order statistics (mean and coefficient of variation) of post-buckling response of FGM plates.

Keywords:

• Stochastic finite element method
• Post-buckling response
• FGM plates
• Elastic foundation
• Random system properties
• HSDT