A MECHANICS MODEL OF A MONOLAYER GRAPHENE BASED ON THE LENOSKY INTERATOMIC POTENTIAL ENERGY

Huang Kun; Yin Yajun; Qu Benning; Wu Jiye

doi:10.6052/0459-1879-14-076

Volume 46 Issue 6

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Huang Kun, Yin Yajun, Qu Benning, Wu Jiye. A MECHANICS MODEL OF A MONOLAYER GRAPHENE BASED ON THE LENOSKY INTERATOMIC POTENTIAL ENERGY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 905-910. doi: 10.6052/0459-1879-14-076

Citation:

Huang Kun, Yin Yajun, Qu Benning, Wu Jiye. A MECHANICS MODEL OF A MONOLAYER GRAPHENE BASED ON THE LENOSKY INTERATOMIC POTENTIAL ENERGY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 905-910. doi: 10.6052/0459-1879-14-076

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A MECHANICS MODEL OF A MONOLAYER GRAPHENE BASED ON THE LENOSKY INTERATOMIC POTENTIAL ENERGY

doi: 10.6052/0459-1879-14-076

1 Department of Engineering Mechanics, Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, China
2 Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China
3 Division of Mechanics, Nanjing University of Technology, Nanjing 211816, China

Funds: The project was supported by the National Natural Science Foundation of China (11272175, 11072125).

Received Date: 2014-03-24
Rev Recd Date: 2014-05-23
Publish Date: 2014-11-18

Abstract

Abstract

In this paper, the equations of motion for a monolayer graphene are obtained by a continuum limit form of elastic energy of the Lenosky C-C covalent bond and Hamilton principle. Using the equations and Galerkin method the static bending of a rectangular monolayer graphene is investigated. It is found that the bending stiffness has a significant effect on the Mechanical Characteristics of the grapheme. The graphene may be described by a plate when the graphene size is small, but the effect of bending stiffness will quickly decrease accompanying the size increment of the graphene. When the short side dimension is greater than 10nm for a rectangular monolayer graphene, the bending stiffness may be neglected and a thin film model is a good agreement with the monolayer graphene.
- monolayer graphene,
- curvature elastic energy,
- equations of motion,
- plate,
- thin film

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