The new approach to investigation of multilayer graphene mechanical properties by the finite-element method

A new approach to investigate the mechanical properties of multilayer graphene was suggested. The method is based on the idea that the van der Waals interaction between the graphene sheets can be simulated by a fictitious layer of continuum. The stress-strain state of multilayer graphene is described by stationary equations of Navier–Lame. This approach has been successfully tested on graphene deflection. The graphene layers were considered as linear-elastic material. For each part of the curve that approximates the dependence of the graphene deflection on the applied force, corresponding elastic constants of graphene layers were found.