Close menu


Sunderland Repository records the research produced by the University of Sunderland including practice-based research and theses.

Nonlinear Elastic Moduli of Graphene Sheet-Reinforced Polymer Composites for Automotive Applications

Elmarakbi, Ahmed, Jianhua, Wang and Azoti, Wiyao (2016) Nonlinear Elastic Moduli of Graphene Sheet-Reinforced Polymer Composites for Automotive Applications. International Journal of Solids and Structures, 81 (1). pp. 383-392. ISSN 0020-7683

Item Type: Article


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.

IJSS final.pdf - Accepted Version

Download (362kB) | Preview

More Information

Depositing User: Paula Normington


Item ID: 6246
Identification Number:
ISSN: 0020-7683
Official URL:

Users with ORCIDS

ORCID for Ahmed Elmarakbi: ORCID iD

Catalogue record

Date Deposited: 10 May 2016 08:43
Last Modified: 05 Feb 2020 16:50


Author: Ahmed Elmarakbi ORCID iD
Author: Wang Jianhua
Author: Wiyao Azoti

University Divisions

Faculty of Technology
Faculty of Technology > School of Engineering


Engineering > Automotive Engineering

Actions (login required)

View Item View Item