Thermal Buckling and Postbuckling Analysis of Plates Reinforced with Graphene Platelets Using Differential Quadrature Method

In this article, the thermal buckling and post-buckling of functionally graded plates with a matrix of isotropic polymer reinforced with graphene platelets (GPLs) have been investigated. In these multilayer plates, the thickness of all layers is the same, and by changing the weight fraction of reinforcing graphene platelets in each layer, the type of layer arrangement of nanocomposite plates changes. The plates are reinforced with three functional graded distributions: X and O and a uniform U distribution. The governing equations of the plate are obtained with the help of the first-order shear deformation theory (FSDT). The thermal buckling behavior of plates has been studied by the differential quadrature method. To find the effective Young's modulus, the Halpin-Tsai modified micromechanical model is used, and the law of mixing is used to obtain the equivalent properties of composites. The results show that the distribution of graphene platelets with an X arrangement improves the resistance of the plate against buckling. Also, the effect of parameters such as the weight fraction of graphene platelets, aspect ratio, and length-to-thickness ratio has been investigated.