Analysis of bending deformation considering shear effect in graphene nanoribbons coated with nano-film

A theoretical model considering the interface shear deformation is developed to investigate the bending properties of graphene substrates coated with nano-film. This paper presents a closed-form solution for predicting the bending properties of graphene substrates coated with nano-film. Based on the proposed model, we investigate the effects of the interface shear stiffness and the boundary conditions on the bending properties of graphene substrates. A parameter study was carried out analyzing the mechanical behaviors of the graphene substrates. As a result, a parametric study is conducted to show the importance of interface shear transfer mechanisms. The interface shear stress and the deflection of the graphene substrates are largely affected by the interface shear stiffness, the concentrated load position and the boundary conditions of loading. Restraint against bending deflection of graphene nanoribbons coated with nanofilm under the lateral load can be easily investigated using the present theory. The theoretical investigation on the bending behavior provides a useful reference for understanding the interfaces shear deformation in graphene substrates.