Nonlocal Buckling Analysis of Embedded Multilayered Graphene Sheets Using the Ritz Functions

In the present paper, a nonlocal orthotropic plate model based on the Eringen’s theory is developed for buckling analysis of multilayered graphene sheets (MLGSs). The MLGS is assumed to be surrounded by a Pasternak medium. The van der Waals (vdW) interactions are considered between all layers. The weighted residual statements of equilibrium equations are performed to explicitly obtain the stiffness and buckling matrices. The Ritz functions are employed to obtain the size dependent critical buckling loads. The Ritz functions eliminate the need for mesh generation and thus large degrees of freedom arising in discretization methods such as finite element (FE). Good agreement has been found from a comparison with previous studies. The current Ritz method can be applied for buckling analysis of MLGSs with simply supported and clamped edges

کلیدواژه ها:

Nonlocal elasticity theory ، Buckling analysis ، Multilayered graphene sheet ، Pasternak elastic foundation ، Ritz functions