Effect of negative Poisson’s ratio on the post-buckling behavior of FG-GRMMC laminated plates in thermal environments

Abstract

In this paper we will investigate the impact of in-plane negative Poisson’s ratio (NPR) on the post-buckling responses of graphene-reinforced metal matrix composite (GRMMC) laminated plates under uni- and bi-axial in-plane compressive loads. The effects of temperature variation and foundation support on the post-buckling responses of GRMMC laminated plates are also taken into consideration. The graphene volume fractions in each layer of a GRMMC plate may vary along the plate thickness direction to achieve a functionally graded (FG) arrangement. The GRMMC layers have temperature-dependent material properties that can be modeled by the extended Halpin–Tsai model. Employing the Reddy’s third order shear deformation plate theory, the governing equations containing both thermal and foundation effects for the post-buckling problem of FG-GRMMC plates are formulated. The von Kármán geometrical nonlinearity is also considered. The post-buckling responses of the FG-GRMMC laminated plates are obtained by solving the governing equations using a two-step perturbation approach. The results have revealed that in-plane NPR has a substantial impact on the post-buckling responses of GRMMC laminated plates.