Static response of functionally graded graphene platelet–reinforced composite plate with dielectric property

Abstract

This article investigates the nonlinear bending of functionally graded graphene platelet–reinforced composite plate with dielectric permittivity. Three functionally graded graphene platelet distribution patterns are considered in this study. Effective medium theory is adopted to determine tensile modulus and dielectric permittivity while rule of mixture is used to determine Poisson’s ratio of graphene platelet–reinforced composites. Governing equations for nonlinear bending of the functionally graded graphene platelet–reinforced composite plates are established based on Hamilton’s principle within the framework of first-order shear deformation plate theory and von Kármán geometrical nonlinearity. Through differential quadrature method, the governing equations are numerically solved and the nonlinear bending behaviors of the functionally graded graphene platelet–reinforced composite plates are obtained. The influences of functionally graded distribution pattern, graphene platelet volume fraction and the attributes of electrical loadings on the bending behaviors of the plates are comprehensively examined. It is demonstrated that the performances of the functionally graded graphene platelet–reinforced composite plates can be designed and actively tuned through adjusting several parameters, which will be helpful to develop graphene platelet–reinforced smart materials and structures.