Buckling Analysis of a FGM Circular Plate with Actuator-Actuator Piezoelectric Layers Using First-Order Shear Deformation Plate Theory

In this paper, the thermal buckling of a thick circular plate made of functionally graded material (FGM) with actuator/actuator piezoelectric layers based on first order shear deformation plate theory under uniform and non-uniform thermal loads is studied. The clamped boundary condition are assumed. The material properties through the thickness are assumed to be power functions of the thickness. Equilibrium and stability equations are derived by using the calculus of variations method and applying Euler equations on total potential energy. Then, the analysis of the thermal buckling of the circular plate under two types of the thermal loadings are presented by solving the equations. In the following, to investigation of the several parameters effects on critical buckling temperatures, the results are displayed by tables and graphs. Finally, the results of this study are compared with results of other works. Results show that the piezoelectric layers increase the critical buckling temperatures and this increase for homogenous plate is more than FGM plate. Also, the critical buckling temperature increases by increasing plate and piezoelectric layer thickness to plate thickness ratios.