<?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-00368014</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="2026-05-26T06:23:08+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Micromorphic approach for gradient elasticity, viscoplasticity, and damage</title>
            <author role="aut">
              <persName>
                <forename type="first">Samuel</forename>
                <surname>Forest</surname>
              </persName>
              <email type="md5">c56ca2ab050451b688f66f2fb2fdba21</email>
              <email type="domain">mines-paristech.fr</email>
              <idno type="idhal" notation="string">samuel-forest</idno>
              <idno type="idhal" notation="numeric">10666</idno>
              <idno type="halauthorid" notation="string">856-10666</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/F-5496-2010</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-8869-3942</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=qWkK0jIAAAAJ&amp;hl=en</idno>
              <idno type="IDREF">https://www.idref.fr/06771708X</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/F-5496-2010</idno>
              <affiliation ref="#struct-1157"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Bibliothèque</forename>
                <surname>UMR7633</surname>
              </persName>
              <email type="md5">194fea384ae19a6330ed0d191a574aeb</email>
              <email type="domain">minesparis.psl.eu</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2009-03-13 11:35:04</date>
              <date type="whenModified">2025-12-01 14:06:02</date>
              <date type="whenReleased">2009-03-13 11:35:04</date>
              <date type="whenProduced">2009</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="116517">
                <persName>
                  <forename>Bibliothèque</forename>
                  <surname>UMR7633</surname>
                </persName>
                <email type="md5">194fea384ae19a6330ed0d191a574aeb</email>
                <email type="domain">minesparis.psl.eu</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00368014</idno>
            <idno type="halUri">https://hal.science/hal-00368014</idno>
            <idno type="halBibtex">forest:hal-00368014</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Engineering Mechanics - ASCE&lt;/i&gt;, 2009, 135, pp.117-131</idno>
            <idno type="halRef">Journal of Engineering Mechanics - ASCE, 2009, 135, pp.117-131</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="ENSMP" corresp="PARISTECH">MINES ParisTech</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="ENSMP_MAT" corresp="ENSMP">Matériaux (MAT)</idno>
            <idno type="stamp" n="PARISTECH">ParisTech</idno>
            <idno type="stamp" n="PSL">Université Paris sciences et lettres</idno>
            <idno type="stamp" n="ENSMP_DEP_MM" corresp="ENSMP">Département Mécanique et Matériaux</idno>
            <idno type="stamp" n="ENSMP_DR" corresp="ENSMP">ENSMP_DR</idno>
            <idno type="stamp" n="ENSMP-PSL" corresp="PSL">MINES ParisTech - École nationale supérieure des mines de Paris - PSL</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Micromorphic approach for gradient elasticity, viscoplasticity, and damage</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Samuel</forename>
                    <surname>Forest</surname>
                  </persName>
                  <email type="md5">c56ca2ab050451b688f66f2fb2fdba21</email>
                  <email type="domain">mines-paristech.fr</email>
                  <idno type="idhal" notation="string">samuel-forest</idno>
                  <idno type="idhal" notation="numeric">10666</idno>
                  <idno type="halauthorid" notation="string">856-10666</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/F-5496-2010</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-8869-3942</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=qWkK0jIAAAAJ&amp;hl=en</idno>
                  <idno type="IDREF">https://www.idref.fr/06771708X</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/F-5496-2010</idno>
                  <affiliation ref="#struct-1157"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">6073</idno>
                <idno type="issn">0733-9399</idno>
                <idno type="eissn">1943-7889</idno>
                <title level="j">Journal of Engineering Mechanics - ASCE</title>
                <imprint>
                  <publisher>American Society of Civil Engineers</publisher>
                  <biblScope unit="volume">135</biblScope>
                  <biblScope unit="pp">117-131</biblScope>
                  <date type="datePub">2009</date>
                </imprint>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Elasticity</term>
                <term xml:lang="en">Damage</term>
                <term xml:lang="en">Viscoplasticity</term>
              </keywords>
              <classCode scheme="halDomain" n="phys.cond.cm-ms">Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>A unifying thermomechanical framework is presented that reconciles several classes of gradient elastoviscoplasticity and damage models proposed in the literature during the last 40 years. It is based on the introduction of the micromorphic counterpart chiphi of a selected state or internal variable phi in a standard constitutive model. In addition to the classical balance of momentum equation, a balance of micromorphic momentum is derived that involves generalized stress tensors. The corresponding additional boundary conditions are also deduced from the procedure. The power of generalized forces is assumed to contribute to the energy balance equation. The free energy density function is then chosen to depend on a relative generalized strain, typically phi-chiphi, and the microstrain gradient [del]chiphi. When applied to the deformation gradient itself, phi[equivalent][bold F][underaccent undertilde [below] , the method yields the micromorphic theory of Eringen and Mindlin together with its extension to finite deformation elastoviscoplasticity by Forest and Sievert. If the selected variable is the cumulative plastic strain, the theory reduces to the so-called “nonlocal implicit gradient-enhanced elastoplasticity model” by Engelen, Geers, and Peerlings, provided that simplified linear relationships are adopted between generalized stresses and strains. The same holds if the micromorphic variable coincides with a microdamage variable. If the internal constraint is introduced that the micromorphic variable chiphi remains as close as possible to the macroscopic variable phi, the micromorphic model reduces to the second gradient or gradient of internal variable approach as defined by Maugin. If the selected variable is the cumulative plastic strain or the full plastic strain tensor, the constrained micromorphic theory delivers Aifantis-like strain gradient plasticity models. The advantage of the micromorphic approach is that it provides the generalized balance equation under nonisothermal conditions and offers the setting for anisotropic nonlinear constitutive relations between generalized stress and strains in contrast to most existing models. In rate-independent plasticity, it is shown that there is generally no need for a variational formulation of the yield condition.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-1157" status="VALID">
          <idno type="IdRef">149799942</idno>
          <idno type="ISNI">0000 0004 0370 1427</idno>
          <idno type="RNSR">199719335J</idno>
          <idno type="ROR">https://ror.org/01q5ge486</idno>
          <orgName>Centre des Matériaux</orgName>
          <orgName type="acronym">MAT</orgName>
          <date type="start">1997-01-01</date>
          <desc>
            <address>
              <addrLine>Centre des matériaux - Campus de l'Innovation, Mines Paris-PSL, 21, allée des Marronniers, 78000 VERSAILLES SATORY -Anciennement Centre Pierre-Marie Fourt - 10 rue Henri Desbruères 91003 ÉVRY CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.mat.minesparis.psl.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301492" type="direct"/>
            <relation active="#struct-564132" type="indirect"/>
            <relation name="UMR7633" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-301492" status="VALID">
          <idno type="IdRef">026375249</idno>
          <idno type="ROR">https://ror.org/04y8cs423</idno>
          <orgName>Mines Paris - PSL (École nationale supérieure des mines de Paris)</orgName>
          <date type="start">1783-01-01</date>
          <desc>
            <address>
              <addrLine>60, boulevard Saint-Michel 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.minesparis.psl.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-564132" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-564132" status="VALID">
          <idno type="IdRef">241597595</idno>
          <idno type="ISNI">0000 0004 1784 3645</idno>
          <idno type="ROR">https://ror.org/013cjyk83</idno>
          <orgName>Université Paris Sciences et Lettres</orgName>
          <orgName type="acronym">PSL</orgName>
          <desc>
            <address>
              <addrLine>60 rue Mazarine 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.psl.eu/</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>
      </listOrg>
    </back>
  </text>
</TEI>