<?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-01103101</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="2026-05-20T21:04:29+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">An accurate time integration scheme for arbitrary rotation motion: application to metal forming simulation</title>
            <author role="aut">
              <persName>
                <forename type="first">Koffi</forename>
                <surname>Kpodzo</surname>
              </persName>
              <idno type="halauthorid">716854-0</idno>
              <affiliation ref="#struct-1158"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Lionel</forename>
                <surname>Fourment</surname>
              </persName>
              <email type="md5">de99993e74a3a5fe28198680977f49cd</email>
              <email type="domain">mines-paristech.fr</email>
              <idno type="idhal" notation="string">lionel-fourment</idno>
              <idno type="idhal" notation="numeric">11594</idno>
              <idno type="halauthorid" notation="string">15923-11594</idno>
              <idno type="IDREF">https://www.idref.fr/079569285</idno>
              <affiliation ref="#struct-1158"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Patrice</forename>
                <surname>Lasne</surname>
              </persName>
              <idno type="halauthorid">483604-0</idno>
              <affiliation ref="#struct-123202"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Pierre</forename>
                <surname>Montmitonnet</surname>
              </persName>
              <email type="md5">65eb764a36e9fc8ef11a797062f037b3</email>
              <email type="domain">mines-paristech.fr</email>
              <idno type="idhal" notation="string">pierre-montmitonnet</idno>
              <idno type="idhal" notation="numeric">11546</idno>
              <idno type="halauthorid" notation="string">11420-11546</idno>
              <idno type="IDREF">https://www.idref.fr/08890329X</idno>
              <affiliation ref="#struct-1158"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Magalie</forename>
                <surname>Prudon</surname>
              </persName>
              <email type="md5">aa86f06f21f9137f85868e1a92bf2f0a</email>
              <email type="domain">mines-paristech.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2015-01-14 09:39:29</date>
              <date type="whenModified">2026-04-28 10:39:07</date>
              <date type="whenReleased">2015-01-14 09:39:29</date>
              <date type="whenProduced">2014-12</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="156117">
                <persName>
                  <forename>Magalie</forename>
                  <surname>Prudon</surname>
                </persName>
                <email type="md5">aa86f06f21f9137f85868e1a92bf2f0a</email>
                <email type="domain">mines-paristech.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01103101</idno>
            <idno type="halUri">https://minesparis-psl.hal.science/hal-01103101</idno>
            <idno type="halBibtex">kpodzo:hal-01103101</idno>
            <idno type="halRefHtml">&lt;i&gt;International Journal of Material Forming&lt;/i&gt;, 2014, pp.14. &lt;a target="_blank" href="https://dx.doi.org/10.1007/s12289-014-1208-5"&gt;&amp;#x27E8;10.1007/s12289-014-1208-5&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">International Journal of Material Forming, 2014, pp.14. &amp;#x27E8;10.1007/s12289-014-1208-5&amp;#x27E9;</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_CEMEF" corresp="ENSMP">Mise en forme des matériaux (CEMEF)</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_CEMEF_CMP" corresp="ENSMP_CEMEF">Numérique - Computational Mechanics and Physics (CEMEF)</idno>
            <idno type="stamp" n="ENSMP_CEMEF_CSM" corresp="ENSMP_CEMEF">Mécanique des Solides (CEMEF)</idno>
            <idno type="stamp" n="ENSMP_CEMEF_PSP" corresp="ENSMP_CEMEF">Surfaces et Procédés (CEMEF)</idno>
            <idno type="stamp" n="ENSMP-PSL" corresp="PSL">MINES ParisTech - École nationale supérieure des mines de Paris - PSL</idno>
            <idno type="stamp" n="ENSMP_CEMEF_SP" corresp="ENSMP_CEMEF">Surfaces et Polymères - S&amp;P</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">An accurate time integration scheme for arbitrary rotation motion: application to metal forming simulation</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Koffi</forename>
                    <surname>Kpodzo</surname>
                  </persName>
                  <idno type="halauthorid">716854-0</idno>
                  <affiliation ref="#struct-1158"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Lionel</forename>
                    <surname>Fourment</surname>
                  </persName>
                  <email type="md5">de99993e74a3a5fe28198680977f49cd</email>
                  <email type="domain">mines-paristech.fr</email>
                  <idno type="idhal" notation="string">lionel-fourment</idno>
                  <idno type="idhal" notation="numeric">11594</idno>
                  <idno type="halauthorid" notation="string">15923-11594</idno>
                  <idno type="IDREF">https://www.idref.fr/079569285</idno>
                  <affiliation ref="#struct-1158"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Patrice</forename>
                    <surname>Lasne</surname>
                  </persName>
                  <idno type="halauthorid">483604-0</idno>
                  <affiliation ref="#struct-123202"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Pierre</forename>
                    <surname>Montmitonnet</surname>
                  </persName>
                  <email type="md5">65eb764a36e9fc8ef11a797062f037b3</email>
                  <email type="domain">mines-paristech.fr</email>
                  <idno type="idhal" notation="string">pierre-montmitonnet</idno>
                  <idno type="idhal" notation="numeric">11546</idno>
                  <idno type="halauthorid" notation="string">11420-11546</idno>
                  <idno type="IDREF">https://www.idref.fr/08890329X</idno>
                  <affiliation ref="#struct-1158"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">114003</idno>
                <idno type="issn">1960-6206</idno>
                <idno type="eissn">1960-6214</idno>
                <title level="j">International Journal of Material Forming</title>
                <imprint>
                  <publisher>Springer Verlag</publisher>
                  <biblScope unit="pp">14</biblScope>
                  <date type="datePub">2014-12</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1007/s12289-014-1208-5</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Time integration scheme</term>
                <term xml:lang="en">Metal forming</term>
                <term xml:lang="en">Torsion test</term>
                <term xml:lang="en">Cross-wedge rolling</term>
                <term xml:lang="en">Finite elements</term>
                <term xml:lang="en">Large rotations</term>
                <term xml:lang="en">Implicit formulation</term>
                <term xml:lang="en">Velocity formulation</term>
              </keywords>
              <classCode scheme="halDomain" n="spi.mat">Engineering Sciences [physics]/Materials</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>Within the frame of implicit velocity based formulations with solid elements, usual time integration schemes often turn out unsatisfactory when the movement has large rotations, especially in metal forming applications such as ring rolling or cross-wedge rolling. These rotations generally require using a much higher order integration scheme with inherent difficulties in implementing such schemes. For pure rotation motions, it is possible to use a low order integration scheme by rewriting the motion equations in the cylindrical frame that is supported by the rotation axis. Accordingly, a first order scheme is sufficient to accurately integrate the movement but it is restricted to specific problems. In the more general case, it is possible to derive parts of the domain where rotations are predominant along with the governing rotation axis from the velocity field gradient. The motion equations are then rewritten in the resulting local cylindrical frame. Performances of this first order scheme are first evaluated and highlighted over simple analytical problems, before being applied to the finite element simulation of the torsion test, and then to more complex metal forming problems involving large rotations. The accuracy and efficiency of this scheme is so numerically demonstrated.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-1158" status="VALID">
          <idno type="IdRef">026523574</idno>
          <idno type="ISNI">0000 0001 0658 7015 </idno>
          <idno type="RNSR">199719336K</idno>
          <idno type="ROR">https://ror.org/00qm1ye08</idno>
          <orgName>Centre de Mise en Forme des Matériaux</orgName>
          <orgName type="acronym">CEMEF</orgName>
          <desc>
            <address>
              <addrLine>Rue Claude Daunesse CS 10207 06904 Sophia Antipolis cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cemef.mines-paristech.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301492" type="direct"/>
            <relation active="#struct-564132" type="indirect"/>
            <relation name="UMR7635" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-123202" status="INCOMING">
          <orgName>Transvalor</orgName>
          <desc>
            <address>
              <addrLine>Parc de Haute Technologie, Sophia-Antipolis, 694, av. du Dr. Maurice Donat, 06255 Mougins Cedex</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-459819" 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>
        <org type="institution" xml:id="struct-459819" status="VALID">
          <orgName>Transvalor S.A.</orgName>
          <desc>
            <address>
              <addrLine>E-Golf Park950 avenue RoumanilleBâtiment IrokoCS 40237 Biot06904 Sophia Antipolis cedexFrance</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.transvalor.com/fr/accueil</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>