The New Approach to Investigation of Multilayer Graphene Mechanical Properties by the Finite-element Method

Saratov State University, 83, Astrahanskaya str., 410012, Saratov, Russia, oeglukhova@yandex.ru, dzero@pisem.net,kolesnikova.88@mail.ru, vshunaev@list.ruA new approach to investigate the mechanical properties of multilayer graphene was suggested. The method is based on the ideathatthevanderWaalsinteractionbetweenthegraphenesheetscanbesimulatedbyafictitiouslayerofcontinuum.Thestress-strainstate of multilayer graphene is described by stationary equations of Navier–Lame. This approach has been successfully tested ongraphene deflection. The graphene layers were considered as linear-elastic material. For each part of the curve that approximatesthe dependence of the graphene deflection on the applied force, corresponding elastic constants of graphene layers were found.Key words: multilayer graphene, finite element method, deflection, modulus of elasticity, van der Waals interactions.