On the asymmetric thermal stability of FGM annular plates reinforced with graphene nanoplatelets

The semi-analytical procedure combined with the trigonometric expansion and generalized differential quadrature (TE-GDQ) technique is developed to examine the asymmetric stability of functionally graded graphene platelet reinforced nanocomposite (FG-GPLRC) annular plates subjected to thermal loading. Uniform distribution and random orientation are supposed for GPLs in all laminas. The volume fraction between plies changes according to three types of functionally graded media. The equivalent Young’s modulus of the plate is determined by Halpin–Tsai micromechanical process. Then, the governing equations are extracted utilizing the Riessner plate theory as called FSDT and von-Kármán kind of nonlinear geometrical relation. After calculating the pre-buckling path and the linearizing process, the stability relations can be derived using the adjacent equilibrium standard. Then, the TE-GDQ procedure is applied to the stability equations. Additionally, the obtained eigenvalue theme is solved; after that, the temperature variation for thermal buckling can be calculated. To illustrate the efficiency and accuracy of the exploited formulation and methods, a validation study is conducted. After validity, various parametric results are demonstrated to analyze the influence of the GPL volume fraction, type of reinforcement, and geometrical factors on the structure stability.