Thermally induced nonlinear instability of functionally graded plates including pores and elastic edge restraint

Abstract

This study peruses the thermally induced nonlinear instability of rectangular plates made up functionally graded material (FGM) with porosity and elastic edge restraint. The pores are distributed in FGM via even and uneven patterns. The temperature-dependent (T-D) properties of constitutive materials are considered and effective properties of porous FGM are evaluated adopting a modification of mixture rule. Fundamental equations of nonlinear instability problem are derived employing first order shear deformation theory (FSDT) incorporating geometric imperfection and interactive pressure from two-parameter foundation. Analytical solutions of transverse displacement, stress function along with rotations are used to fulfil simply supported conditions on boundary edges and Galerkin procedure combined with an iterative process are employed to obtain critical temperatures and post-buckling paths. Parametric studies explore that porosity beneficially influences the buckling withstanding and post-buckling strength of thermally loaded FGM plates. In contrast, tangential constraints of edges have deteriorative effects on nonlinear instability of porous FGM plates undergoing thermal loadings.