A new type of constitutive equation for nonlinear elastic bodies. Fitting with experimental data for rubber-like materials

In this article, we develop a new implicit constitutive relation, which is based on thermodynamic foundation that relates the Hencky strain to Cauchy stress, by assuming structure for Gibbs potential stress. We study tension/compression of cylinder, biaxial stretching thin plate and simple shear within context our relation. then compare predictions relation Ogden’s with experiments Treloar concerning show provide better description than model, fewer material moduli.