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 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.