Hyperelasticity Modeling for Incompressible Passive Biological Tissues

Grégory Chagnon, Jacques Ohayon, Jean Louis Martiel, Denis Favier

Research output: Chapter in Book/Report/Conference proceedingChapter

17 Scopus citations


Soft tissues are mainly composed of organized biological media giving them an anisotropic mechanical behavior. Soft tissues also have the ability to undergo large elastic reversible deformations. Many constitutive models were developed to describe these phenomena. In this chapter, we discuss several varying models and their constitutive equations which are defined by means of strain components or strain invariants. The notion of tangent moduli will be plotted for two well-known constitutive equations, and we will illustrate how to implement explicitly a structural kinematics constraint in a constitutive law to derive the resulting Cauchy stress tensor.

Original languageEnglish (US)
Title of host publicationBiomechanics of Living Organs
Subtitle of host publicationHyperelastic Constitutive Laws for Finite Element Modeling
Number of pages28
ISBN (Electronic)9780128040607
ISBN (Print)9780128040096
StatePublished - Jan 1 2017


  • Anisotropy
  • Hyperelasticity
  • Kinematics constraint
  • Lagrange multiplier
  • Strain-energy density functions

ASJC Scopus subject areas

  • Medicine(all)


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