<?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-00333852</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="2026-05-26T14:44:00+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Extraction of a crack opening from a continuous approach using regularized damage models</title>
            <author role="aut">
              <persName>
                <forename type="first">Frédéric</forename>
                <surname>Dufour</surname>
              </persName>
              <email type="md5">73f0526f81fbe21f02b3d6a7f38c7247</email>
              <email type="domain">grenoble-inp.fr</email>
              <idno type="idhal" notation="string">frederic-dufour</idno>
              <idno type="idhal" notation="numeric">172453</idno>
              <idno type="halauthorid" notation="string">7617-172453</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-2086-4530</idno>
              <idno type="IDREF">https://www.idref.fr/070418217</idno>
              <affiliation ref="#struct-10921"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Gilles</forename>
                <surname>Pijaudier-Cabot</surname>
              </persName>
              <email type="md5">3aa846786e866b5ebfd0f14e725e92f7</email>
              <email type="domain">univ-pau.fr</email>
              <idno type="idhal" notation="string">gilles-pijaudier-cabot</idno>
              <idno type="idhal" notation="numeric">169868</idno>
              <idno type="halauthorid" notation="string">7618-169868</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-3464-3229</idno>
              <idno type="IDREF">https://www.idref.fr/034507477</idno>
              <orgName ref="#struct-301085"/>
              <affiliation ref="#struct-632"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Marta</forename>
                <surname>Choinska</surname>
              </persName>
              <email type="md5">ddc23ea2deaa6e60db0288f164aebbf1</email>
              <email type="domain">univ-nantes.fr</email>
              <idno type="idhal" notation="string">marta-choinska-colombel</idno>
              <idno type="idhal" notation="numeric">855012</idno>
              <idno type="halauthorid" notation="string">361246-855012</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=bGz4HVwAAAAJ</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-4799-7226</idno>
              <idno type="IDREF">https://www.idref.fr/115097058</idno>
              <affiliation ref="#struct-10921"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Antonio</forename>
                <surname>Huerta</surname>
              </persName>
              <email type="md5">e4cfbdcb495d60bcadbf0cd32306ea63</email>
              <email type="domain">upc.edu</email>
              <idno type="idhal" notation="numeric">855013</idno>
              <idno type="halauthorid" notation="string">361247-855013</idno>
              <affiliation ref="#struct-81618"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Frédéric</forename>
                <surname>Dufour</surname>
              </persName>
              <email type="md5">73f0526f81fbe21f02b3d6a7f38c7247</email>
              <email type="domain">grenoble-inp.fr</email>
            </editor>
            <funder ref="#projanr-27210"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2008-10-24 11:53:31</date>
              <date type="whenWritten">2007</date>
              <date type="whenModified">2026-04-29 17:27:31</date>
              <date type="whenReleased">2008-10-24 17:10:35</date>
              <date type="whenProduced">2008</date>
              <date type="whenEndEmbargoed">2008-10-24</date>
              <ref type="file" target="https://hal.science/hal-00333852v1/document">
                <date notBefore="2008-10-24"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-00333852v1/file/Crack-Op-Dufour-2008.pdf" id="file-333852-205836">
                <date notBefore="2008-10-24"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="130402">
                <persName>
                  <forename>Frédéric</forename>
                  <surname>Dufour</surname>
                </persName>
                <email type="md5">73f0526f81fbe21f02b3d6a7f38c7247</email>
                <email type="domain">grenoble-inp.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00333852</idno>
            <idno type="halUri">https://hal.science/hal-00333852</idno>
            <idno type="halBibtex">dufour:hal-00333852</idno>
            <idno type="halRefHtml">&lt;i&gt;Computers and Concrete, an International Journal&lt;/i&gt;, 2008, 5 (4), pp.375-388</idno>
            <idno type="halRef">Computers and Concrete, an International Journal, 2008, 5 (4), pp.375-388</idno>
            <availability status="restricted">
              <licence target="https://creativecommons.org/licenses/by-nc/4.0/">CC BY-NC 4.0 - Attribution - Non-commercial use<ref corresp="#file-333852-205836"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-NANTES">Université de Nantes</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-PAU">Université de Pau et des Pays de l'Adour - E2S UPPA</idno>
            <idno type="stamp" n="EC-NANTES">Ecole Centrale de Nantes</idno>
            <idno type="stamp" n="UNAM">l'unam - université nantes angers le mans</idno>
            <idno type="stamp" n="GEM"> Institut de Recherche en Génie Civil et Mécanique</idno>
            <idno type="stamp" n="LFCR-GEOMECA" corresp="LFCR">Equipe Géomécanique-Milieux Poreux du LFC-R (UMR5150)</idno>
            <idno type="stamp" n="LFCR" corresp="UNIV-PAU">Laboratoire des Fluides Complexes et leurs Réservoirs - IPRA</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="UPPA-OA" corresp="UNIV-PAU">uppa-oa</idno>
            <idno type="stamp" n="NANTES-UNIVERSITE">Nantes Université</idno>
            <idno type="stamp" n="UNIV-NANTES-AV2022">Université de Nantes</idno>
            <idno type="stamp" n="NU-CENTRALE">École Centrale de Nantes</idno>
            <idno type="stamp" n="UPPA-STEE" corresp="UNIV-PAU">UPPA-Collège-STEE</idno>
            <idno type="stamp" n="UPPA-COLLEGES">UPPA STEE EI SSH</idno>
            <idno type="stamp" n="IPRA" corresp="UNIV-PAU">Institut Pluridisciplinaire de Recherche Appliquée</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">Extraction of a crack opening from a continuous approach using regularized damage models</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Frédéric</forename>
                    <surname>Dufour</surname>
                  </persName>
                  <email type="md5">73f0526f81fbe21f02b3d6a7f38c7247</email>
                  <email type="domain">grenoble-inp.fr</email>
                  <idno type="idhal" notation="string">frederic-dufour</idno>
                  <idno type="idhal" notation="numeric">172453</idno>
                  <idno type="halauthorid" notation="string">7617-172453</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-2086-4530</idno>
                  <idno type="IDREF">https://www.idref.fr/070418217</idno>
                  <affiliation ref="#struct-10921"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Gilles</forename>
                    <surname>Pijaudier-Cabot</surname>
                  </persName>
                  <email type="md5">3aa846786e866b5ebfd0f14e725e92f7</email>
                  <email type="domain">univ-pau.fr</email>
                  <idno type="idhal" notation="string">gilles-pijaudier-cabot</idno>
                  <idno type="idhal" notation="numeric">169868</idno>
                  <idno type="halauthorid" notation="string">7618-169868</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-3464-3229</idno>
                  <idno type="IDREF">https://www.idref.fr/034507477</idno>
                  <orgName ref="#struct-301085"/>
                  <affiliation ref="#struct-632"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Marta</forename>
                    <surname>Choinska</surname>
                  </persName>
                  <email type="md5">ddc23ea2deaa6e60db0288f164aebbf1</email>
                  <email type="domain">univ-nantes.fr</email>
                  <idno type="idhal" notation="string">marta-choinska-colombel</idno>
                  <idno type="idhal" notation="numeric">855012</idno>
                  <idno type="halauthorid" notation="string">361246-855012</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=bGz4HVwAAAAJ</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-4799-7226</idno>
                  <idno type="IDREF">https://www.idref.fr/115097058</idno>
                  <affiliation ref="#struct-10921"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Antonio</forename>
                    <surname>Huerta</surname>
                  </persName>
                  <email type="md5">e4cfbdcb495d60bcadbf0cd32306ea63</email>
                  <email type="domain">upc.edu</email>
                  <idno type="idhal" notation="numeric">855013</idno>
                  <idno type="halauthorid" notation="string">361247-855013</idno>
                  <affiliation ref="#struct-81618"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">12055</idno>
                <idno type="issn">1598-8198</idno>
                <idno type="eissn">1598-818X</idno>
                <title level="j">Computers and Concrete, an International Journal</title>
                <imprint>
                  <publisher>Techno-press</publisher>
                  <biblScope unit="volume">5</biblScope>
                  <biblScope unit="issue">4</biblScope>
                  <biblScope unit="pp">375-388</biblScope>
                  <date type="datePub">2008</date>
                </imprint>
              </monogr>
              <relatedItem target="https://hal.science/hal-00864170v1" type="isVariantFormatOf" subtype="http://purl.org/coar/resource_type/c_c94f"/>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">crack opening</term>
                <term xml:lang="en">damage model</term>
                <term xml:lang="en">strong discontinuity</term>
                <term xml:lang="en">fracture.</term>
                <term xml:lang="en">fracture</term>
              </keywords>
              <classCode scheme="halDomain" n="spi.meca">Engineering Sciences [physics]/Mechanics [physics.med-ph]</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>Crack opening governs many transfer properties that play a pivotal role in durability analyses. Instead of trying to combine continuum and discrete models in computational analyses, it would be attractive to derive from the continuum approach an estimate of crack opening, without considering the explicit description of a discontinuous displacement field in the computational model. This is the prime objective of this contribution. The derivation is based on the comparison between two continuous variables: the distribution if the effective non local strain that controls damage and an analytical distribution of the effective non local variable that derives from a strong discontinuity analysis. Close to complete failure, these distributions should be very close to each other. Their comparison provides two quantities: the displacement jump across the crack [U] and the distance between the two profiles. This distance is an error indicator defining how close the damage distribution is from that corresponding to a crack surrounded by a fracture process zone. It may subsequently serve in continuous/discrete models in order to define the threshold below which the continuum approach is close enough to the discrete one in order to switch descriptions. The estimation of the crack opening is illustrated on a one-dimensional example and the error between the profiles issued from discontinuous and FE analyses is found to be of a few percents close to complete failure.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-10921" status="OLD">
          <idno type="IdRef">198448449</idno>
          <idno type="RNSR">200412238P</idno>
          <orgName>Institut de Recherche en Génie Civil et Mécanique</orgName>
          <orgName type="acronym">GeM</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>1, rue de la Noë BP92101 44321 Nantes cedex 3</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://gem.ec-nantes.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-97058" type="direct"/>
            <relation active="#struct-93263" type="indirect"/>
            <relation active="#struct-111023" type="direct"/>
            <relation name="UMR6183" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-632" status="OLD">
          <orgName>Thermodynamique et Energétique des fluides complexes</orgName>
          <orgName type="acronym">TEFC</orgName>
          <date type="end">2002-12-31</date>
          <desc>
            <address>
              <addrLine>Centre universitaire de recherche scientifique - BP 1155 64013 PAU CEDEX</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-301085" type="direct"/>
            <relation active="#struct-311408" type="direct"/>
            <relation name="UMR5150" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-81618" status="VALID">
          <orgName>Laboratori de Càlcul Numèric (LACAN)</orgName>
          <orgName type="acronym">LaCàN</orgName>
          <desc>
            <address>
              <addrLine>Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos de Barcelona,Universitat Politècnica de Catalunya.Jordi Girona 1, E-08034 Barcelona, Spain</addrLine>
              <country key="ES"/>
            </address>
            <ref type="url">https://www.lacan.upc.edu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-85878" type="direct"/>
          </listRelation>
        </org>
        <org type="regrouplaboratory" xml:id="struct-97058" status="OLD">
          <orgName>Université de Nantes - UFR des Sciences et des Techniques</orgName>
          <orgName type="acronym">UN UFR ST</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>2, rue de la Houssinière - BP 92208 - 44322 Nantes cedex 3</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.sciences-techniques.univ-nantes.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-93263" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-93263" status="OLD">
          <idno type="IdRef">026403447</idno>
          <idno type="ROR">https://ror.org/03gnr7b55</idno>
          <orgName>Université de Nantes</orgName>
          <orgName type="acronym">UN</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>1, quai de Tourville - BP 13522 - 44035 Nantes cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-nantes.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-111023" status="OLD">
          <idno type="IdRef">03063525X</idno>
          <idno type="ISNI">0000000122039289</idno>
          <idno type="ROR">https://ror.org/03nh7d505</idno>
          <orgName>École Centrale de Nantes</orgName>
          <orgName type="acronym">ECN</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>1 rue de la Noë - BP 92101 - 44321 Nantes cedex 3</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ec-nantes.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-301085" status="VALID">
          <idno type="IdRef">026403668</idno>
          <idno type="ISNI">000000012289818X</idno>
          <idno type="ROR">https://ror.org/01frn9647</idno>
          <idno type="Wikidata">Q572968</idno>
          <orgName>Université de Pau et des Pays de l'Adour</orgName>
          <orgName type="acronym">UPPA</orgName>
          <date type="start">1970-12-17</date>
          <desc>
            <address>
              <addrLine>Avenue de l'Université - BP 576 - 64012 Pau Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-pau.fr/fr/index.html</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-311408" status="INCOMING">
          <orgName>TOTAL SA</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-85878" status="VALID">
          <idno type="ROR">https://ror.org/03mb6wj31</idno>
          <orgName>Universitat Politècnica de Catalunya =  Université polytechnique de Catalogne = Polytechnic University of Catalunya [Barcelona]</orgName>
          <orgName type="acronym">UPC</orgName>
          <desc>
            <address>
              <addrLine>C./Jordi Girona, 1-3, 08034 Barcelona</addrLine>
              <country key="ES"/>
            </address>
            <ref type="url">https://www.upc.edu/ca</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-27210" status="VALID">
          <idno type="anr">ANR-05-BLAN-0132</idno>
          <idno type="program">Programme non thématique - Appel à projets de recherche</idno>
          <orgName>CONTIFISS</orgName>
          <desc>Fissuration et rupture continue</desc>
          <date type="start">2005</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>