Evaluation of Tension, Bending and Twisting Rigidities of Single-Layer Graphene Sheets by an Analytical Asymptotic Homogenization Model

摘要

To develop novel materials such as graphene sheets and carbon nanotubes (CNTs) too many studies are in progress in this modem field of research [1]. The single-layer graphene sheet (SLGS) is comprised of a monolayer of carbon atoms arranged periodically and uniformly in a hexagonal honeycomb mode. The hexagonal nanostructure of SLGS with the high strength of the carbon-carbon cova-lent bond creates a strong material, two hundred times harder than steel [2].