Theoretical and Numerical Solution for the Bending and Frequency Response of Graphene Reinforced Nanocomposite Rectangular Plates

In this work, we study the vibration and bending response of functionally graded graphene platelets reinforced composite (FG-GPLRC) rectangular plates embedded on different substrates thermal conditions. The governing equations problem along with boundary conditions are determined by employing minimum total potential energy Hamilton’s principle, within a higher-order shear deformation theoretical setting. is solved both theoretically numerically means Navier-type exact solution generalized differential quadrature (GDQ) method, respectively, whose results successfully validated against finite element predictions performed in commercial COMSOL code, similar outcomes available literature. A large parametric developed to check for sensitivity foundation properties, (GPL) distribution patterns, volume fractions reinforcing phase, as well surrounding environment conditions, very interesting insights from scientific design standpoint.