Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates

Abstract

This work concerns the critical buckling temperature of functionally graded rectangular thin plates; the properties of functionally graded material vary continuously in accordance with the power law of thickness z. Closed form solutions for the critical thermal parameter are obtained for the plate with the following boundary condition combinations: simply supported, clamped and guided edges, under uniform, linear and nonlinear temperature fields via the separation-of-variable method. Furthermore, a new method is proposed to determine the critical buckling temperature from the critical thermal parameter. The present results coincide well with those in the literature, verifying the correctness of the present method. The influences of the length-thickness ratio, length-width ratio, power law index and initial temperature on critical buckling temperature are investigated.

Thermal Buckling of Laminated Plates using Modified Mantari Function

“…Fazzolari and Carrera [11] and Fazzolari [12] carried out thermal stability and free vibration analyses of functionally graded (FG) and sandwich plates using Ritz and advanced Ritz method, taking into consideration uniform, linear and non-linear temperature rises through the-thickness layer plate. Xing and Wang [13], investigated thermal buckling for rectangular plates made from functionally graded material, under different boundary conditions using separation-of-variable method. Karami et al [14], modified 3D plate theory to disperse wave in functionally graded nanoplates in hygro thermal environment and rest on an elastic foundation, Nicholas et al [15] used genetic algorithm to maximize the critical temperature of the laminated composite plate subjected to different nonuniform thermal loads, therefore ply angle and stacking sequence are optimized.…”