Nonlinear buckling of orthotropic DLGSs coating with Zno layers using DQM

چکیده مقاله

This study aims to investigate nonlocal nonlinear instability response of a orthotropic double layer graphene sheet (DLGS) in which a coating zinc oxide (ZnO) piezoelectric material is covered upper and lower surfaces of graphene layers. Surrounding circumference is simulated as Pasternak foundation. Furthermore, magnetic and electric fields are applied to graphene sheets and ZnO layers, respectively. Moreover, a biaxial force is exerted on graphene layers. In order to model graphene sheets and ZnO layers, Mindlin plate theory or first order shear deformation theory (FSDT) is employed. Governing equations of motion are derived using Hamilton’s principle. Nonlinear Von-Karman strains are utilized to derive motion equations. The detailed parametric study is performed focusing on variables such as magnetic field strength, dimensions of plates including lengths and thicknesses of them, small scale effect and intensity of stiffness matrix. The differential quadrature (DQ) approach is applied to obtain nonlocal nonlinear buckling load. The results of this study might be useful for designing and manufacturing more stable graphene based structures in micro/nano electromechanical systems.