Stochastic perturbation-based finite element for buckling statistics of FGM plates with uncertain material properties in thermal environments

In the present study, stochastic perturbation-based finite element for buckling statistics of functionally graded plates (FGM) with uncertain material properties in thermal environments is investigated. The effective material properties of the gradient plates are assumed to be temperature-dependent and vary in the thickness direction only according to the power-law distribution of the volume fractions of the constituents. An improved structural kinematics proposed earlier by author’s is employed which accounts parabolic variations for the transverse shear strains with stress free boundary conditions at the top and bottom faces of the plate. An efficient C0 stochastic finite element based on the first-order perturbation technique (FOPT) is proposed, and the fundamental equations are obtained using variational approach. Convergence and comparison studies have been performed to describe the efficiency of the present formulation. The numerical results are highlighted with different system parameters and boundary conditions.