Thermal buckling analysis of porous functionally graded nanocomposite beams reinforced by graphene platelets using Generalized differential quadrature method

Abstract

In this paper, thermal buckling of functionally graded (FG) porous nanocomposite beams subjected to a thermal gradient are studied by generalized differential quadrature method (GDQM). We consider three different types of nanofillers dispersion patterns and porosity distributions. Materials parameters vary along the thickness direction. Under Gaussian random field (GRF) scheme, the mechanical properties of closed- cell cellular solids are used. Thereby, the variation of Poisson's ratio as well as the relationship between porosity coefficient and mass density are determined. The elastic modulus of nanocomposite is obtained by applying Halpin-Tsai micromechanics model. In the course of this work, the accuracy and efficiency of the (GDQM) are validated. We studied the effects of weight fraction, dispersion pattern, geometry, and size of graphene platelets (GPLs), as well as porosity distribution, porosity coefficient, slenderness ratio and metal matrix on the thermal buckling of the nanocomposite beam. Our findings, contrary to what was expected, are somewhat surprising. According to our results, the graphene platelets (GPLs') performance is affected strongly by their geometry.