Zhou, L, Wang, S, Li, L and Fu, Y (2018) An evaluation of the Gent and Gent-Gent material models using inflation of a plane membrane. International Journal of Mechanical Sciences. ISSN 0020-7403

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Abstract

The Gent material model is the simplest extension of the neo-Hookean material model that can describe the finite extensibility of the polymeric chains comprising the elastomer network. However, it is known that its fitting to experimental results of uniaxial tension is not satisfactory for moderate values of stretch, and the Gent-Gent model was proposed to remedy this deficiency. In this paper we provide further evidence on the good performance of the Gent-Gent model by using it to study the inflation of a circular plane membrane. For this problem, the deformation near the pole is equibiaxial and the associated nominal tension is a monotonic function of the stretch, but the pressure as a function of the stretch has both a maximum and a minimum. The Gent and Gent-Gent models are first fitted to our own experimental data for the nominal tension, and then used to predict variation of the pressure with respect to the stretch. By comparison with the experimental data, it is shown that the Gent-Gent model gives much better predictions than the Gent model.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Elsevier at http://doi.org/10.1016/j.ijmecsci.2018.07.035 - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: nonlinear elasticity, constitutive model, bulging, Gent model, membrane
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 01 Aug 2018 15:33
Last Modified: 01 Aug 2018 15:34
URI: http://eprints.keele.ac.uk/id/eprint/5190

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