A new I1-based hyperelastic model for rubber elastic materials

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 phi(I-1; alpha) = (I-1(alpha) - 3(alpha))/(alpha 3(alpha-1)), where alpha 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. (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.