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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.

Contents

Hyperelastic Models

References

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