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

Abstract

This study peruses the thermally caused nonlinear instability of flat panels made up functionally graded material (FGM) with porosity and elastic edge restraint. The pores are introduced in FGM via uniform and nonuniform patterns. The temperature-dependent (T-D) characteristics of constitutive materials are captured and overall characteristics of imperfect FGM are evaluated adopting a modification of mix rule. Fundamental derivations of large-deflection instability issue are derived employing first order shear deformation theory (FSDT) incorporating imperfect geometry and interaction from two-parameter foundation. The resolutions of transverse displacement, stress function (SF) along with rotations are used to fulfil simple support conditions on boundaries and Galerkin procedure combined with an iterative process are employed to obtain critical temperatures and post-critical paths. Parametric studies explore that porosity beneficially influences the buckling withstanding and post-critical strength of thermally loaded FGM plates. In contrast, tangential constraints of edges have deteriorative effects of nonlinear instability of porous FGM plates undergoing thermal loadings.