Mixed-type formulation of higher-order shear deformation theory for vibration and buckling analysis of FG-GPLRC plates using VDQFEM

In the context of variational differential quadrature finite element method (VDQFEM), the vibration and buckling of functionally graded graphene platelet reinforced composite (FG-GPLRC) plates with cutout are investigated in this study. The modified Halpin-Tsai model is used to compute the effective mechanical properties of nanocomposite plate. The mixed-type formulation of the higher-order shear deformation plate theory (HSDPT) is developed based on the Lagrange multiplier to model the mechanical behavior of FG-GPLRC plates. The variational-based differential quadrature element is developed to numerically solve the problem. Various comparative results are provided to check the validity of the proposed approach. Additionally, multiple numerical results are represented to examine the vibration and buckling behaviors of FG-GPLRC plates.