Hyperelastic Energy Densities for Soft Biological Tissues: A Review

Many soft tissues are naturally made of a matrix and fibres that present some privileged directions. They are known to support large reversible deformations. The mechanical behaviour of these tissues highlights different phenomena as hysteresis, stress softening or relaxation. A hyperelastic constit...

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Bibliographic Details
Published in:Journal of elasticity 2015-08, Vol.120 (2), p.129-160
Main Authors: Chagnon, G., Rebouah, M., Favier, D.
Format: Article
Language:English
Subjects:
Anisotropy
Automotive Engineering
Classical Mechanics
Constitutive equations
Constitutive relationships
Energy density
Invariants
Mathematical models
Mechanics
Mechanics of materials
Physics
Physics and Astronomy
Softening
Strain
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Summary:Many soft tissues are naturally made of a matrix and fibres that present some privileged directions. They are known to support large reversible deformations. The mechanical behaviour of these tissues highlights different phenomena as hysteresis, stress softening or relaxation. A hyperelastic constitutive equation is typically the basis of the model that describes the behaviour of the material. The hyperelastic constitutive equation can be isotropic or anisotropic, it is generally expressed by means of strain components or strain invariants. This paper proposes a review of these constitutive equations.
ISSN:0374-3535
1573-2681
DOI:10.1007/s10659-014-9508-z