ABSTRACT
The results of the theoretical investigations of the mechanical properties of graphene structures are presented in this work. We have investigated the mechanical properties of one-layer and bilayer graphene sheets by using the molecular dynamics method and quantum-chemical tight-binding method. To evaluate the mechanical properties of graphene, we applied a compression load and deection load to graphene sheet. As a result of the investigations, it was found that graphene became wave-like with the increase in the compression value. The number of half-waves generated on the graphene surface, depends on the size of the graphene sheet. It was established that the conguration of the graphene structure with a single half-wave is stable for all nanoribbons, independently of the intermediate half-wave amount, and is reachable at the individually found values of compression. The stress eld of deformed graphene was calculated by using the developed method. This method is based on the quantum model of the nite graphene nanoribbon and the empirical calculation method of the single atom energy. As a result of comparison of the strength characteristics for graphene structures it was revealed that bilayer graphene is able to withstand a greater load than its one-layer counterpart owing to the hardening effect of the second layer.
