Ogden Rubber Material Model

One common compressible representation 27 is given in equation 5 117.

Ogden rubber material model.

The helmholtz free energy for the ogden model can be written in different ways. 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 polymers and biological tissue. 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. A versatile model that can be used for rubber polymer and biological tissues. 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. Depending upon the number of constants or terms selected in the material drop down menu you need to enter the power coefficients alpha and the ogden material constants mu.

Ogden hyper elastic can be used to model rubber like materials undergoing large deformations. 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.