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Hyperelastic Energy Densities for Soft Biological Tissues: A Review

Grégory Chagnon 1 Marie Rebouah 1 Denis Favier 1 
1 TIMC-IMAG-BioMMat - Ingénierie Biomédicale et Mécanique des Matériaux
TIMC-IMAG - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
Abstract : 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.
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Submitted on : Thursday, April 5, 2018 - 5:02:08 AM
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Grégory Chagnon, Marie Rebouah, Denis Favier. Hyperelastic Energy Densities for Soft Biological Tissues: A Review. Journal of Elasticity, Springer Verlag, 2015, 120 (2), pp.129-160. ⟨10.1007/s10659-014-9508-z⟩. ⟨hal-01480510⟩



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