Buckling analysis of thick functionally graded piezoelectric plates based on the higher-order shear and normal deformable theory

摘要

In this paper, buckling analysis of thick functionally graded piezoelectric rectangular plates is investigated based on the higher-order shear and normal deformable plate theory. Two cases consisting of closed and open-closed circuits are considered as electrical conditions. Using the principle of minimum total potential energy and utilizing the variational approach, nonlinear governing equations for buckling analysis of thick functionally graded rectangular plates are derived. Applying the adjacent equilibrium criterion, the linear form of the governing stability equations is determined. The electric potential function is assumed to be quadratic in terms of the thickness variable. Also, it is supposed that material properties of the functionally graded plates vary through the thickness according to the power law function. Finally, the Maxwell and stability equations are solved analytically for a simply supported thick plate to obtain the critical buckling loads. Consequently, the effects of loading conditions, aspect ratio, thickness and material properties on the critical buckling loads are investigated in detail.