Non-linear elastic moduli of Graphene sheet-reinforced polymer composites

Elmarakbi, Ahmed, Jianhua, Wang and Azoti, Wiyao (2016) Non-linear elastic moduli of Graphene sheet-reinforced polymer composites. International Journal of Solids and Structures, 81. pp. 383-392. ISSN 0020-7683

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Abstract

The non-linear elastic moduli of the Graphene sheet-reinforced polymer composite are investigated using a combined molecular mechanics theory and continuum homogenisation tools. Under uni-axial loading, the linear and non-linear constitutive equations of the Graphene sheet are derived from a Taylor series expansion in powers of strains. Based on the modified Morse potential, the elastic moduli and Poisson's ratio are obtained for the Graphene sheet leading to the derivation of the non-linear stiffness tensor. For homogenisation purpose, the strain concentration tensor is computed by the means of the irreducible decomposition of the Eshelby's tensor for an arbitrary domain. Therefore, a mathematical expression of the averaged Eshelby's tensor for a rectangular shape is obtained for the Graphene sheet. Under the Mori-Tanaka micro-mechanics scheme, the effective non-linear behaviour is predicted for various micro-parameters such as the aspect ratio and mass fractions. Numerical results highlight the effect of such micro-parameters on the anisotropic degree of the composite.

Item Type:	Article
Uncontrolled Keywords:	Non-linear elastic moduli; Graphene sheet; Polymer composite; Eshelby’s tensor; Mori–Tanaka scheme
Subjects:	F200 Materials Science G100 Mathematics
Department:	Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User:	Paul Burns
Date Deposited:	08 Oct 2018 17:13
Last Modified:	08 Sep 2020 15:28
URI:	http://nrl.northumbria.ac.uk/id/eprint/36155

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