Hyperelastic material behavior

This section defines the hyperelastic material model provided in Abaqus and introduces the mixed variational principles used in Abaqus/Standard to treat the fully incompressible case and the almost incompressible case.

The following topics are discussed:

Related Topics
In Other Guides
Hyperelastic behavior of rubberlike materials
Hyperelastic behavior in elastomeric foams


The constitutive behavior of a hyperelastic material is defined as a total stress–total strain relationship, rather than as the rate formulation discussed in the context of history-dependent materials. Therefore, the basic development of the formulation for hyperelasticity is somewhat different. Furthermore, hyperelastic materials are often incompressible or very nearly so; hence, mixed (“hybrid”) formulations can be used effectively.