This work focuses on the comparison of the strain energy density functions for rubber-like materials based on exponential form. The Treloar experimental data had been used in the present paper. The optimal method for nonlinear parameter identification is developed. Indeed, a comparison between the Treloar data and the analytical solution is approached in order to identify a good hyperelastic parameters of the models. By processing simple tension, pure shear and equibiaxial tension curves showed the good agreement between the model and experimental data.

Keywords : Exponential forms, Rubber-like Materials, Approach-In-Stages, Identification Process, Material parameters.