Numerical investigation of the Poisson's ratio of amorphous graphene sheets

Abstract

The one‐atom‐thick allotrope of graphite, C4 is called monolayer graphene and was discovered in 2004. It is well known for its fantastic electro‐mechanical properties. While transverse contraction and Poisson's ratio were previously studied only for homogeneous or crystalline two‐dimensional (2D) mono‐ and bilayer network structures under uniaxial tensile stress, we now numerically investigate these material properties for amorphous or non‐crystalline monolayer graphene. Here, we pay special attention to the influence of the network heterogeneity. We find the stress‐strain correlation in good agreement with the literature, and we find auxetic behavior, that is, negative Poisson's ratio, over a wide range within the elastic regime.