Young's Modulus of Graphene Based on Variation Principle and Energy Conservation
Tensile strain in x-direction for monolayer graphene with carbon-circles is considered based on variation principle and energy conservation. The relations between the Young’s modulus in x-direction and the number of carbon-circles of graphene are obtained. The results show that the Young’s modulus of graphene in x-direction is independent of the number of carbon-circles in x-direction, but it increases with the increasing number of carbon-circles in y-direction and finally comes to the constant.
Zhong Cao, Lixian Sun, Xueqiang Cao, Yinghe He
S. H. Ban et al., "Young's Modulus of Graphene Based on Variation Principle and Energy Conservation", Advanced Materials Research, Vols. 233-235, pp. 2456-2459, 2011