A new $ {I}_{1}$-based hyperelastic model for rubber elastic materials

Oscar Lopez-Pamies

doi:10.1016/j.crme.2009.12.007

A new

I_{1}

-based hyperelastic model for rubber elastic materials

Oscar Lopez-Pamies ¹

¹ Department of Mechanical Engineering, State University of New York, Stony Brook, NY 11794-2300, USA

Comptes Rendus. Mécanique, Volume 338 (2010) no. 1, pp. 3-11.

Abstract

In this Note, we propose a new hyperelastic model for rubber elastic solids applicable over the entire range of deformations. The underlying stored-energy function is a linear combination of the $I_{1}$ -based strain invariants $φ (I_{1}; α) = (I_{1}^{α} - 3^{α}) / (α 3^{α - 1})$ , where α is a real number. The predictive capabilities of the model are illustrated via comparisons with experimental data available from the literature for a variety of rubbery solids. In addition, the key theoretical and practical strengths of the proposed stored-energy function are discussed.

Received: 2009-07-09
Accepted: 2009-12-04
Published online: 2009-12-23

DOI: 10.1016/j.crme.2009.12.007

Keywords: Solids and structures, Finite strain, Non-Gaussian elasticity, Polyconvexity

Author's affiliations:

Oscar Lopez-Pamies ¹

¹ Department of Mechanical Engineering, State University of New York, Stony Brook, NY 11794-2300, USA

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Oscar Lopez-Pamies. A new $ {I}_{1}$-based hyperelastic model for rubber elastic materials. Comptes Rendus. Mécanique, Volume 338 (2010) no. 1, pp. 3-11. doi : 10.1016/j.crme.2009.12.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.12.007/

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