Young's Modulus of Graphene Based on Finite Displacement Theory
Young’s modulus of monolayer graphene with carbon-circles is considered based on least-energy principle (LEP) and finite displacement theory (FDT). The relationships between the Young’s modulus and the numbers of carbon-circles of graphene are obtained. The results suggest that the Young’s modulus of graphene increases with the increasing number of carbon-circles in y-direction, but reduces with the increasing number in x-direction, and gradually comes to the constant .
Zhong Cao, Yinghe He, Lixian Sun and Xueqiang Cao
S. H. Ban et al., "Young's Modulus of Graphene Based on Finite Displacement Theory", Advanced Materials Research, Vols. 236-238, pp. 3051-3055, 2011