Thermal Buckling Analysis of a 2-Directional FGM Circular Plate Using First-Order Shear Deformation Theory

In this research, the critical buckling temperatures of a 2-Directional FGM circular plate under the two types of temperature rise are calculated based on first order shear deformation plate theory (FSDT) in the cases of clamped support edge. The equilibrium and stability equations for 2-Directional FGM circular plate are derived according to FSDT and using the energy method and Euler equations and then the stability equations are solved by series method and computer programming and the critical buckling temperatures are derived. At the end, the results are illustrated by tables and graphs and the effect of various parameters such as the volume fraction indexes on the critical buckling temperatures are studied and compared with results of some other articles. The results show that for different values of volume fraction indexes in r-direction (µ), the volume fraction index in z-direction (n) has a little effect on the critical buckling temperatures. Also when µ is positive, the critical buckling temperatures are decreased by increasing µ but when µ is negative, vice versa. Also, for FGM thickness constant, critical buckling temperature is increased by increasing the aspect ratio (h/a), while decreased by increasing volume fraction exponent.