Hyperelastic material

A hyperelastic or Green elastic material is an 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 behavior of unfilled, vulcanized elastomers often conforms closely to the hyperelastic ideal. Filled elastomers and biological tissues are also often modeled via the hyperelastic idealization.

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Hyperelastic Models

Ronald Rivlin and Melvin Mooney developed the first hyperelastic models, the Neo-Hookean and Mooney-Rivlin solids. Many other hyperelastic models have since been developed. Models can be classified as:

1) phenomenological descriptions of observed behavior

• Mooney-Rivlin
• Ogden
• Polynomial
• Yeoh

2) mechanistic models deriving from arguments about underlying structure of the material

• Arruda-Boyce
• Neo-Hookean

3) hybrids of phenomenological and mechanistic models

• Gent

References

• R.W. Ogden: Non-Linear Elastic Deformations, ISBN 0-486-69648-0