Hyperelasticity of Rubbery Materials with Chains' volume, Nonaffine Deformation, and Topological Constraint

Rubbery materials play a significant role in industrial field for the reason of better excellent elasticity. A hyperelastic model is proposed, into which chains' volume, nonaffine deformation, and topological constraint are introduced. After obtained the model, it is naturally transformed to investigate homogeneous deformations for isotropic and incompressible rubbery materials and verified by Treloar's experiments. The results show that the present model has ability to express the hyperelasticity of rubbery materials, and the highly predictive accuracy with only simple computation makes the novel model adequate for engineering applications.