<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0870-8312</journal-id>
<journal-title><![CDATA[Ciência & Tecnologia dos Materiais]]></journal-title>
<abbrev-journal-title><![CDATA[C.Tecn. Mat.]]></abbrev-journal-title>
<issn>0870-8312</issn>
<publisher>
<publisher-name><![CDATA[Sociedade Portuguesa de Materiais]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0870-83122008000100006</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Simulation of delamination growth under high cycle fatigue using cohesive zone models]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Camanho]]></surname>
<given-names><![CDATA[Pedro P.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Turon]]></surname>
<given-names><![CDATA[Albert]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Costa]]></surname>
<given-names><![CDATA[Josep]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidade do Porto Faculdade de Engenharia DEMEGI - Departamento de Engenharia Mecânica e Gestão Industrial]]></institution>
<addr-line><![CDATA[Porto ]]></addr-line>
<country>Portugal</country>
</aff>
<aff id="A02">
<institution><![CDATA[,University of Girona Polytechnic School AMADE - Advanced and Materials for Structural Design]]></institution>
<addr-line><![CDATA[Girona ]]></addr-line>
<country>Spain</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>01</month>
<year>2008</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>01</month>
<year>2008</year>
</pub-date>
<volume>20</volume>
<numero>1-2</numero>
<fpage>40</fpage>
<lpage>44</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_arttext&amp;pid=S0870-83122008000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_abstract&amp;pid=S0870-83122008000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_pdf&amp;pid=S0870-83122008000100006&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[A cohesive zone model is proposed for the simulation of delamination growth in composite materials under high-cycle fatigue loading. The basis for the formulation is an interfacial constitutive law that links fracture mechanics and damage mechanics relating the evolution of the damage variable, d, with the crack growth rate, da/dN. The cohesive zone model is implemented in ABAQUS finite element code and used in the simulation of carbon-epoxy test specimens cyclically loaded in mode I, mode II and mixed-mode I and II. The accuracy of the model is assessed by comparing the predictions with experimental data.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Este artigo apresenta um modelo coesivo para simular a delaminagem de materiais compósitos sob fadiga de altos ciclos. O modelo constitutivo proposto relaciona a evolução da variável de dano, d, com a velocidade de crescimento da delaminagem, da/dN. O modelo coesivo é implementado no código de elementos finitos ABAQUS e é utilizado na simulação de provetes fabricados em carbono-epoxy carregados ciclicamente em modo I, modo II e modo misto I e II. O modelo é validado comparando as suas previsões com resultados experimentais.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Composite materials]]></kwd>
<kwd lng="en"><![CDATA[delamination]]></kwd>
<kwd lng="en"><![CDATA[fatigue]]></kwd>
<kwd lng="en"><![CDATA[cohesive models]]></kwd>
<kwd lng="pt"><![CDATA[Materiais compósitos]]></kwd>
<kwd lng="pt"><![CDATA[delaminagem]]></kwd>
<kwd lng="pt"><![CDATA[fadiga]]></kwd>
<kwd lng="pt"><![CDATA[modelos coesivos]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="CENTER"><b>Simulation of delamination growth under high cycle fatigue  using cohesive zone models</b></p>     <p align="CENTER">&nbsp;</p>     <p align="CENTER">Pedro P. Camanho<sup>*</sup>, Albert Turon<sup>**</sup> ,   Josep Costa <sup>**</sup></p>     <p align="CENTER">&nbsp;</p>     <p align="CENTER"><sup>*</sup>DEMEGI, Faculdade de Engenharia, Universidade do    Porto Rua Dr. Roberto Frias, 4200-465 Porto, Portugal <a href="mailto:pcamanho@fe.up.pt">pcamanho@fe.up.pt</a></p>     <p align="CENTER"><sup>**</sup> AMADE, Polytechnic School, University of Girona,    Campus Montilivi s/n, 17071 Girona, Spain <a href="mailto:albert.turon@udg.es">albert.turon@udg.es</a>,    <a href="mailto:josep.costa@udg.es">josep.costa@udg.es</a></p>     <p>&nbsp;</p>      <p><b>ABSTRACT: </b>A   cohesive zone model is proposed for the simulation of delamination growth in   composite materials under high-cycle fatigue loading. The basis for the   formulation is an interfacial constitutive law that links fracture mechanics   and damage mechanics relating the evolution of the damage variable, <b>d</b>, with the crack growth rate, da/dN.   The cohesive zone model is implemented in ABAQUS finite element code and used   in the simulation of carbon-epoxy test specimens cyclically loaded in mode I,   mode II and mixed-mode I and II. The accuracy of the model is assessed by   comparing the predictions with experimental data. </p>          <p><b>Keywords:</b> Composite materials; delamination; fatigue; cohesive models.</p>          <p>&nbsp;</p>          ]]></body>
<body><![CDATA[<p><b>RESUMO:</b>Este   artigo apresenta um modelo coesivo para simular a delaminagem de materiais   compósitos sob fadiga de altos ciclos. O modelo constitutivo proposto   relaciona a evolução da variável de dano, <b>d</b>, com a velocidade de crescimento da delaminagem, da/dN. O   modelo coesivo é implementado no código de elementos finitos ABAQUS e é   utilizado na simulação de provetes fabricados em carbono-epoxy carregados   ciclicamente em modo I, modo II e modo misto I e II. O modelo é validado   comparando as suas previsões com resultados experimentais.</p>         <p><b>Palavras   chave: </b>Materiais compósitos; delaminagem; fadiga; modelos coesivos.</p>       <p>&nbsp;</p>     <p>Texto completo disponível apenas em PDF.</p>     <p>Full text only available in PDF format.</p>     <p>&nbsp;</p>      <p><b>References</b></p>      <!-- ref --><p>[1] RH.H.J. Peerlings, W.A.M. Bredelmans,  R. de Borst, and M.G.D Geers, <i>International Journal of Numerical Methods in Engineering</i>, <b>9</b> (2000) 1547.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=142872&pid=S0870-8312200800010000600001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><p>[2] P. Robinson, U. Galvanetto, D. Tumino and G. Bellucci, <i>International Journal for Numerical Methods in Engineering</i>, (2007).</p>      <p>[3] V.K. Goyal and E.R. Johnson, <i>44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference</i>, (2003) Norfolk, Virginia.</p>      ]]></body>
<body><![CDATA[<p>[4] ABAQUS User's Manual, Version 6.5, Hibbitt, Karlsson &amp; Sorensen, Pawtucket, RI, 2005.</p>      <p>[5] A. Turon, P.P. Camanho, J. Costa, C.G. Dávila,  <i>Mechanics of Materials</i>,  <b>38</b> (2006) 1072.</p>      <p>[6] L.E. Asp, A. Sjgren and E.S. Greenhalgh, <i>J. Comp. Technol. Res</i>., <b>23</b> (2001) 55.</p>       ]]></body><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Peerlings]]></surname>
<given-names><![CDATA[RH.H.J.]]></given-names>
</name>
<name>
<surname><![CDATA[Bredelmans]]></surname>
<given-names><![CDATA[W.A.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Borst]]></surname>
<given-names><![CDATA[R. de]]></given-names>
</name>
<name>
<surname><![CDATA[Geers]]></surname>
<given-names><![CDATA[M.G.D]]></given-names>
</name>
</person-group>
<source><![CDATA[International Journal of Numerical Methods in Engineering]]></source>
<year>2000</year>
<volume>9</volume>
<page-range>1547</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
