<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01974109</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-25T11:47:57+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Hyperelasticity Modeling for Incompressible Passive Biological Tissues</title>
            <author role="aut">
              <persName>
                <forename type="first">Grégory</forename>
                <surname>Chagnon</surname>
              </persName>
              <email type="md5">a9b1251153aa700199a810e52fbc2a91</email>
              <email type="domain">univ-grenoble-alpes.fr</email>
              <idno type="idhal" notation="string">gregory-chagnon</idno>
              <idno type="idhal" notation="numeric">14058</idno>
              <idno type="halauthorid" notation="string">7511-14058</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/M-8670-2014</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-9386-7046</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?hl=fr&amp;user=P4AIWrsAAAAJ&amp;view_op=list_works&amp;is_public_preview=1</idno>
              <idno type="IDREF">https://www.idref.fr/077696492</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/M-8670-2014</idno>
              <affiliation ref="#struct-1042068"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jacques</forename>
                <surname>Ohayon</surname>
              </persName>
              <email type="md5">28ebfdc77ae6bc6745e6acd65ed048d2</email>
              <email type="domain">imag.fr</email>
              <idno type="idhal" notation="string">jacques-ohayon</idno>
              <idno type="idhal" notation="numeric">1322167</idno>
              <idno type="halauthorid" notation="string">149795-1322167</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-6923-6850</idno>
              <idno type="IDREF">https://www.idref.fr/130341193</idno>
              <affiliation ref="#struct-1042064"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jean-Louis</forename>
                <surname>Martiel</surname>
              </persName>
              <idno type="halauthorid">195637-0</idno>
              <affiliation ref="#struct-1042064"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Denis</forename>
                <surname>Favier</surname>
              </persName>
              <email type="md5">5fbee03442f2885bb283b8f24f83317b</email>
              <email type="domain">univ-grenoble-alpes.fr</email>
              <idno type="idhal" notation="string">denis-favier</idno>
              <idno type="idhal" notation="numeric">172344</idno>
              <idno type="halauthorid" notation="string">40604-172344</idno>
              <idno type="IDREF">https://www.idref.fr/033736111</idno>
              <affiliation ref="#struct-1042068"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Grégory</forename>
                <surname>Chagnon</surname>
              </persName>
              <email type="md5">a9b1251153aa700199a810e52fbc2a91</email>
              <email type="domain">univ-grenoble-alpes.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2019-01-09 09:43:32</date>
              <date type="whenModified">2026-02-07 05:15:50</date>
              <date type="whenReleased">2019-01-17 14:37:31</date>
              <date type="whenProduced">2017</date>
              <date type="whenEndEmbargoed">2019-01-09</date>
              <ref type="file" target="https://hal.science/hal-01974109v1/document">
                <date notBefore="2019-01-09"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-01974109v1/file/ChapitreHyperFinal.pdf" id="file-1974888-1997089">
                <date notBefore="2019-01-09"/>
              </ref>
              <ref type="externalLink" target="https://hal.archives-ouvertes.fr/hal-01974109/file/ChapitreHyperFinal.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="185273">
                <persName>
                  <forename>Grégory</forename>
                  <surname>Chagnon</surname>
                </persName>
                <email type="md5">a9b1251153aa700199a810e52fbc2a91</email>
                <email type="domain">univ-grenoble-alpes.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01974109</idno>
            <idno type="halUri">https://hal.science/hal-01974109</idno>
            <idno type="halBibtex">chagnon:hal-01974109</idno>
            <idno type="halRefHtml">&lt;i&gt;Biomechanics of Living Organs&lt;/i&gt;, Elsevier, pp.3-30, 2017, &lt;a target="_blank" href="https://dx.doi.org/10.1016/B978-0-12-804009-6.00001-8"&gt;&amp;#x27E8;10.1016/B978-0-12-804009-6.00001-8&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Biomechanics of Living Organs, Elsevier, pp.3-30, 2017, &amp;#x27E8;10.1016/B978-0-12-804009-6.00001-8&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1974888-1997089"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UGA">HAL Grenoble Alpes</idno>
            <idno type="stamp" n="IMAG">IMAG</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INPG">Institut polytechnique de Grenoble</idno>
            <idno type="stamp" n="TIMC-IMAG">TIMC</idno>
            <idno type="stamp" n="TIMC-IMAG-BIOMMAT" corresp="TIMC-IMAG">BioMMAT</idno>
            <idno type="stamp" n="TIMC-IMAG-DYCTIM" corresp="TIMC-IMAG">DyCTim : Dynamique Cellulaire / Tissulaire et Microscopie fonctionnelle</idno>
            <idno type="stamp" n="UNIV-LYON">Université de Lyon</idno>
            <idno type="stamp" n="UGA-COMUE">Université Grenoble Alpes [2016-2019]</idno>
            <idno type="stamp" n="TEST-UGA">TEST-UGA</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Hyperelasticity Modeling for Incompressible Passive Biological Tissues</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Grégory</forename>
                    <surname>Chagnon</surname>
                  </persName>
                  <email type="md5">a9b1251153aa700199a810e52fbc2a91</email>
                  <email type="domain">univ-grenoble-alpes.fr</email>
                  <idno type="idhal" notation="string">gregory-chagnon</idno>
                  <idno type="idhal" notation="numeric">14058</idno>
                  <idno type="halauthorid" notation="string">7511-14058</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/M-8670-2014</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-9386-7046</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?hl=fr&amp;user=P4AIWrsAAAAJ&amp;view_op=list_works&amp;is_public_preview=1</idno>
                  <idno type="IDREF">https://www.idref.fr/077696492</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/M-8670-2014</idno>
                  <affiliation ref="#struct-1042068"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jacques</forename>
                    <surname>Ohayon</surname>
                  </persName>
                  <email type="md5">28ebfdc77ae6bc6745e6acd65ed048d2</email>
                  <email type="domain">imag.fr</email>
                  <idno type="idhal" notation="string">jacques-ohayon</idno>
                  <idno type="idhal" notation="numeric">1322167</idno>
                  <idno type="halauthorid" notation="string">149795-1322167</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-6923-6850</idno>
                  <idno type="IDREF">https://www.idref.fr/130341193</idno>
                  <affiliation ref="#struct-1042064"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean-Louis</forename>
                    <surname>Martiel</surname>
                  </persName>
                  <idno type="halauthorid">195637-0</idno>
                  <affiliation ref="#struct-1042064"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Denis</forename>
                    <surname>Favier</surname>
                  </persName>
                  <email type="md5">5fbee03442f2885bb283b8f24f83317b</email>
                  <email type="domain">univ-grenoble-alpes.fr</email>
                  <idno type="idhal" notation="string">denis-favier</idno>
                  <idno type="idhal" notation="numeric">172344</idno>
                  <idno type="halauthorid" notation="string">40604-172344</idno>
                  <idno type="IDREF">https://www.idref.fr/033736111</idno>
                  <affiliation ref="#struct-1042068"/>
                </author>
              </analytic>
              <monogr>
                <title level="m">Biomechanics of Living Organs</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="pp">3-30</biblScope>
                  <date type="datePub">2017</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/B978-0-12-804009-6.00001-8</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Hyperelasticity</term>
                <term xml:lang="en">Anisotropy</term>
                <term xml:lang="en">Kinematics constraint</term>
                <term xml:lang="en">Lagrange multiplier</term>
                <term xml:lang="en">Strain-Energy density functions</term>
              </keywords>
              <classCode scheme="halDomain" n="phys.meca.mema">Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph]</classCode>
              <classCode scheme="halTypology" n="COUV">Book sections</classCode>
              <classCode scheme="halOldTypology" n="COUV">Book sections</classCode>
              <classCode scheme="halTreeTypology" n="COUV">Book sections</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Soft tissues are mainly composed of organised 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.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-1042068" status="OLD">
          <orgName>Ingénierie Biomédicale et Mécanique des Matériaux</orgName>
          <orgName type="acronym">TIMC-IMAG-BioMMat</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Domaine de la Merci, 38706 La Tronche</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www-timc.imag.fr/biommat</ref>
          </desc>
          <listRelation>
            <relation active="#struct-1042061" type="direct"/>
            <relation active="#struct-89889" type="indirect"/>
            <relation active="#struct-301767" type="indirect"/>
            <relation name="UMR5525" active="#struct-441569" type="indirect"/>
            <relation active="#struct-445543" type="indirect"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-1042064" status="OLD">
          <orgName>Dynamiques Cellulaire et Tissulaire - Interdisciplinarité, Modélisation &amp; Microscopie</orgName>
          <orgName type="acronym">TIMC-IMAG-DyCTiM2</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Domaine de la Merci, 38706 La Tronche</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www-timc.imag.fr/dyctim2</ref>
          </desc>
          <listRelation>
            <relation active="#struct-1042061" type="direct"/>
            <relation active="#struct-89889" type="indirect"/>
            <relation active="#struct-301767" type="indirect"/>
            <relation name="UMR5525" active="#struct-441569" type="indirect"/>
            <relation active="#struct-445543" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1042061" status="OLD">
          <idno type="IdRef">14728936X</idno>
          <idno type="ISNI">0000 0004 4687 1979</idno>
          <idno type="RNSR">199511969L</idno>
          <idno type="ROR">https://ror.org/03985kf35</idno>
          <orgName>Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525</orgName>
          <orgName type="acronym">TIMC-IMAG</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Domaine de la Merci, 38706 La Tronche, France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www-timc.imag.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-89889" type="direct"/>
            <relation active="#struct-301767" type="direct"/>
            <relation name="UMR5525" active="#struct-441569" type="direct"/>
            <relation active="#struct-445543" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-89889" status="OLD">
          <idno type="IdRef">026388804</idno>
          <idno type="ROR">https://ror.org/05sbt2524</idno>
          <orgName>Institut polytechnique de Grenoble - Grenoble Institute of Technology</orgName>
          <orgName type="acronym">Grenoble INP</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>46 avenue Félix Viallet 38031 Grenoble Cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.grenoble-inp.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301767" status="VALID">
          <idno type="ROR">https://ror.org/01c7wz417</idno>
          <orgName>VetAgro Sup - Institut national d'enseignement supérieur et de recherche en alimentation, santé animale, sciences agronomiques et de l'environnement</orgName>
          <orgName type="acronym">VAS</orgName>
          <date type="start">2010-01-01</date>
          <desc>
            <address>
              <addrLine>Université de Lyon, VetAgro Sup, 69280 Marcy l'Etoile (campus vétérinaire); Université de Clermont, VetAgro Sup, 63370 Lempdes (campus agronomique)</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.vetagro-sup.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-445543" status="OLD">
          <idno type="IdRef">188399275</idno>
          <idno type="ROR">https://ror.org/02rx3b187</idno>
          <orgName>Université Grenoble Alpes [2016-2019]</orgName>
          <orgName type="acronym">UGA [2016-2019]</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>38058 Grenoble cedex</addrLine>
              <country key="FR"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>