Instability analysis of buckling of graphene nanoribbons coated with nano-film considering shear effect

This paper presents an analytical model and a closed-form solution for predicting buckling property of graphene nanoribbon (GNR) substrates with nano-coating layer. In the analytical model, the shear deformation and the nonlocal elasticity theory are considered to obtain high order differential governing equation for internal stress and deformation under buckling load. Using the proposed analytical model, the influences of parameters such as the interface shear stiffness, buckling mode and nonlocal coefficient, on the buckling characteristics of graphene nanoribbons (GSNRs) coated with thin film were investigated in detail. The result shows the importance of the interface shear stiffness, indicating that the interface shear stiffness between the coating and substrate may affect largely on the instability of GNR substrates. The interface shear stress and the deflection of the GSNRs are largely affected by the interface shear stiffness and the position of the GSNRs. The theoretical study provides a useful reference for understanding the effect of the interface shear stiffness on the buckling stability of GNR substrates.