Ogden Rubber Material Model

A versatile model that can be used for rubber polymer and biological tissues.

Ogden rubber material model. A 3 term ogden material model can describe deformations for strains up to 600. The ogden material model is a hyperelastic material model used to describe the non linear stress strain behaviour of complex materials such as rubbers and biological tissue. One common compressible representation 27 is given in equation 5 117. The ogden model is a very general hyperelasticity model with a helmholtz free energy per reference volume that is expressed in terms of the applied principal stretches.

For many materials linear elastic models do not accurately describe the observed material behaviour. A hyperelastic or green elastic material is a type of constitutive model for ideally elastic material for which the stress strain relationship derives from a strain energy density function the hyperelastic material is a special case of a cauchy elastic material. The model was developed by raymond ogden in 1972. The model relies on the fact that the material behaviour can be described by means of a strain energy density function whence the stress strain relationships can be derived.

The helmholtz free energy for the ogden model can be written in different ways. Ogden hyper elastic can be used to model rubber like materials undergoing large deformations.