An Exact Solution of Thermal Buckling for Bimorph Functionally Graded Circular Plates

In this paper, the exact solution to the thermal buckling of circular plates made of two-way functional materials under uniform thermal loading has been studied. Also, the theory and assumptions of the classical nonlinear von karman for fixed and simple conditions have been considered. Material properties are symmetric with respect to the middle plane and vary according to the power law so that the middle plane and the sides are considered pure metal and ceramic, respectively. Nonlinear equations of equilibrium are determined using energy method, and stability equations are used to obtain the critical buckling temperature by equilibrium in the vicinity method and a closed solution is obtained. Effects of various parameters, including rate of change of plate thickness to its radius, change in volume percentage of the material. The Poisson ratio on the critical buckling temperature for the two fixed and simple conditions has been studied and the results are compared with each other and with those of previous researches.