Constitutive Models for Almost Incompressible Isotropic Elastic Rubber-like Materials

摘要

A simple constitutive model is proposed for slightly compressible (or almost incompressible) non-linearly elastic materials that are homogeneous and isotropic. Experimental data for simple tension suggest that there is a power-law kinematic relationship between the stretches for large classes of such materials. It is shown that a common constitutive model for these materials does not, in general, capture this effect. The most general constitutive model giving rise to such a power-law relationship is then obtained. A special case yields the well-known Blatz–Ko model for compressible rubber. The behavior in biaxial tension and pure shear is also discussed.