Composite and filament models for the mechanical behaviour of elastomeric materials |
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Authors: | Dmitri Miroshnychenko WA Green |
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Institution: | a Department of Mathematical Sciences, University of Loughborough, Loughborough, Leicestershire LE11 3TU, UK b Consultant, Swithuns Gate, Ostlings Lane, Bathford, Bath BA1 7RW, UK |
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Abstract: | In this work we present a composite model, which combines the approach of Poisson's function with the filament theory and requires three material parameters. We also suggest the form for a strain-energy function that approximates the constitutive equations of the composite model. Furthermore, a simple asymptotic analysis allows us to reduce the number of material constants to only two, thus, forming a new filament model. The predictive capability of the two models to reproduce the mechanical behaviour of elastomeric materials in deformation experiments is evaluated against the extensive data of Kawabata et al. (Macromolecules 14 (1981) 154). The models give excellent agreement in not only uniaxial and equibiaxial but also non-equibiaxial extension. Although being rather more simplistic in comparison with some successful network models involving non-Gaussian chain statistics, the two models conform much more closely to the classical experimental data of Treloar (Trans. Faraday Soc. 40 (1944) 59). |
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Keywords: | Deformation Constitutive behaviour Polymeric material Polymer network Finite strain |
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