Constitutive models of rubber elasticity: A review

A review of constitutive models for the finite deformation response of rubb ery materials is given. Several recent and classic statistical mechanics an d continuum mechanics models of incompressible rubber elasticity are discus sed and compared to experimental data. A hybrid of the Flory-Erman model fo r low stretch deformation and the Arruda-Boyce model for large stretch defo rmation is shown to give an accurate, predictive description of Treloar's c lassical data over the entire stretch range for all deformation states. The modeling of compressibility is also addressed.