Hyperelasticity Modeling for Incompressible Passive Biological Tissues

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

doi:10.1016/B978-0-12-804009-6.00001-8

Hyperelasticity Modeling for Incompressible Passive Biological Tissues

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

Research output: Chapter in Book/Report/Conference proceeding › Chapter

19 Scopus citations

Abstract

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 language	English (US)
Title of host publication	Biomechanics of Living Organs
Subtitle of host publication	Hyperelastic Constitutive Laws for Finite Element Modeling
Publisher	Elsevier
Pages	3-30
Number of pages	28
ISBN (Electronic)	9780128040607
ISBN (Print)	9780128040096
DOIs	https://doi.org/10.1016/B978-0-12-804009-6.00001-8
State	Published - Jan 1 2017

Keywords

Anisotropy
Hyperelasticity
Kinematics constraint
Lagrange multiplier
Strain-energy density functions

ASJC Scopus subject areas

Medicine(all)

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10.1016/B978-0-12-804009-6.00001-8

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title = "Hyperelasticity Modeling for Incompressible Passive Biological Tissues",

abstract = "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.",

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T1 - Hyperelasticity Modeling for Incompressible Passive Biological Tissues

AU - Chagnon, Grégory

AU - Ohayon, Jacques

AU - Martiel, Jean Louis

AU - Favier, Denis

PY - 2017/1/1

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N2 - 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.

AB - 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.

KW - Anisotropy

KW - Hyperelasticity

KW - Kinematics constraint

KW - Lagrange multiplier

KW - Strain-energy density functions

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BT - Biomechanics of Living Organs

PB - Elsevier

ER -

Hyperelasticity Modeling for Incompressible Passive Biological Tissues

Abstract

Keywords

ASJC Scopus subject areas

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