Buckling Analysis of Sandwich Structures with Metamaterials Core Integrated by Graphene Nanoplatelets Reinforced Polymer Composite

A study on buckling analysis of Marine sandwich panels for interior partition walls with multilayer graphene nanoplatelet (GPL)/polymer composite facesheets is presented in this paper. Three different shapes of square, honeycomb, and re-entrant cellular shape with negative poison ratio are considered for the core layer. It is assumed that facesheets be composed of a polymer matrix reinforced by graphene nanoplatelet (GPL). Halpin-Tsai's micromechanical approach is used to determine the effective Young’s modulus of the top and bottom layers and the rule of mixture for effective Poisson’s ratio and mass density. The wall sandwich plate is modeled based on a new fifth-order shear deformation theory. Hamilton principle is employed to obtain the governing differential equations of motions of plates. The accuracy of the proposed formula and results are verified and proven accurate by the high agreement with the available results in the literature. Based on our results, we indicated the effect of cell configurations of the cellular core on the critical buckling load of marine interior wall sandwich plates. Moreover, the effect of thickness, aspect ratios, graphene nanoplatelet weight fraction, and geometrical parameters on the critical buckling load by the use of Galerkin’s method is illustrated. The findings of this research may be beneficial in creating more efficient engineering applications, especially in the marine and ship industries.