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Article

Prediction of Young’s Modulus of Graphene Sheets by the Finite Element Method

1Department of Applied Mechanics and Mechanical Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 042 00 Košice, Slovak Republic


American Journal of Mechanical Engineering. 2015, Vol. 3 No. 6, 225-229
DOI: 10.12691/ajme-3-6-14
Copyright © 2015 Science and Education Publishing

Cite this paper:
Pavol Lengvarský, Jozef Bocko. Prediction of Young’s Modulus of Graphene Sheets by the Finite Element Method. American Journal of Mechanical Engineering. 2015; 3(6):225-229. doi: 10.12691/ajme-3-6-14.

Correspondence to: Pavol  Lengvarský, Department of Applied Mechanics and Mechanical Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 042 00 Košice, Slovak Republic. Email: pavol.lengvarsky@tuke.sk

Abstract

Young’s moduli of graphene sheets are investigated in this paper. Graphene sheet is modelled as space frame structure by beam elements. Properties of beam elements are obtained from linkage molecular mechanics and classic continuum mechanics. Interatomic interactions in molecular mechanics are assigned to structural mechanics, and then diameter and elastic properties for beam elements are obtained. Graphene sheet is modelled with commercial finite element code and the boundary conditions are applied in two different directions. Young’s moduli of graphene sheets vary with dimensions of sheets and they are affected by direction of loading. Finally, the Poisson’s ratios are obtained from deformations of graphene sheets.

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