Combining the logarithmic strain and the full-network model for a better understanding of the hyperelastic behavior of rubber-like materials

Suitably defined invariants of the logarithmic strain are shown to be more adequate than the usual invariants of the left Cauchy-Green tensor to define the type and intensity of a strain applied to hyperelastic rubber-like materials. Coupling these invariants with the macromolecular full-network model clarifies some features of the state of strain dependence of these materials. Finally, comparisons of the model with experimental data illustrate the efficiency of the full-network model and the dependence of the material parameters on the applied loading history.