Effect of nonlocal elasticity on vibration analysis of multi-layer graphene sheets using sandwich model

The essence of nonlocal elasticity for vibration analysis of multi-layer graphene sheets (MLGSs) is investigated in the following study. The van der Waals interactions of every two adjacent layers are considered in analysis which results in interlayer shear effect. The proposed formulation is according to sandwich model (SM). Molecular Dynamic (MD) simulation is implemented to verify our model. We present an investigation to obtain the consistent values for SM parameters to comply with MD results. Afterward, the SM is integrated with nonlocal elasticity. The new calibrated values for nonlocal parameter lead to the best conformity of nonlocal SM with MD.