Hyperelastic tension of graphene
Hyperelastic tension of graphene
In this paper, we investigate the hyperelastic tensile behaviour of single layer graphene sheets (SLGSs). A one-term incompressible Ogden-type hyperelastic model is chosen to describe the mechanical response of C-C bonds. By establishing equality between the Ogden strain-energy and the variation of the Tersoff-Brenner interatomic potential, three different geometries of SLGSs are studied under tensile loading. We compute the Young's modulus, the finite-deformation Poisson's ratio, ultimate strains, total reactions, and the variation of the potential energy per carbon atom for large strains. Numerical simulations are compared with results obtained by molecular mechanics and molecular dynamics simulations, finite elements, continuum mechanics theory, and experiments. Our predictions are validated, revealing the potential predictive capabilities of the present hyperelastic framework for the analysis of graphene in the context of infinitesimal and large deformations. The good agreement found between our calculations and the published data suggests that graphene may be described as a hyperelastic material
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Saavedra Flores, E.I.
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Ajaj, R.M.
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Adhikari, S.
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Dayyani, I.
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Friswell, M.I.
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Castro-Triguero, R.
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9 February 2015
Saavedra Flores, E.I.
51c7dfba-2289-4e4d-bfb8-17b10bb56458
Ajaj, R.M.
ff8ce68d-2ba5-449e-83da-f2be54e6d409
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
Dayyani, I.
f88bf87d-4cd1-4f94-8df9-56a1664ad948
Friswell, M.I.
e1f48951-f82e-4301-9a71-e32ce1188b00
Castro-Triguero, R.
9f69bdf5-da5b-4fa0-a6e0-d8af5970c3fa
Saavedra Flores, E.I., Ajaj, R.M., Adhikari, S., Dayyani, I., Friswell, M.I. and Castro-Triguero, R.
(2015)
Hyperelastic tension of graphene.
Applied Physics Letters, 106, .
(doi:10.1063/1.4908119).
Abstract
In this paper, we investigate the hyperelastic tensile behaviour of single layer graphene sheets (SLGSs). A one-term incompressible Ogden-type hyperelastic model is chosen to describe the mechanical response of C-C bonds. By establishing equality between the Ogden strain-energy and the variation of the Tersoff-Brenner interatomic potential, three different geometries of SLGSs are studied under tensile loading. We compute the Young's modulus, the finite-deformation Poisson's ratio, ultimate strains, total reactions, and the variation of the potential energy per carbon atom for large strains. Numerical simulations are compared with results obtained by molecular mechanics and molecular dynamics simulations, finite elements, continuum mechanics theory, and experiments. Our predictions are validated, revealing the potential predictive capabilities of the present hyperelastic framework for the analysis of graphene in the context of infinitesimal and large deformations. The good agreement found between our calculations and the published data suggests that graphene may be described as a hyperelastic material
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Accepted/In Press date: 3 February 2015
Published date: 9 February 2015
Organisations:
Aerodynamics & Flight Mechanics Group
Identifiers
Local EPrints ID: 374495
URI: http://eprints.soton.ac.uk/id/eprint/374495
ISSN: 0003-6951
PURE UUID: 9bc651f5-0106-48c6-a7ab-64723e3c4669
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Date deposited: 20 Feb 2015 08:52
Last modified: 14 Mar 2024 19:08
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Contributors
Author:
E.I. Saavedra Flores
Author:
S. Adhikari
Author:
I. Dayyani
Author:
M.I. Friswell
Author:
R. Castro-Triguero
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