An_Abaqus_implementation_of_the_extended_finite_element_method

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1、AnAbaqusimplementationoftheextendedfiniteelementmethodE.Ginera,∗,N.Sukumarb,J.E.Taranc´ona,F.J.FuenmayoraaDepartamentodeIngenier´ıaMec´anicaydeMaterialesUniversidadPolit´ecnicadeValencia,CaminodeVera,46022Valencia,Spain.bDepartmentofCivilandEnvironmentalEngineeringUniversit

2、yofCalifornia,OneShieldsAvenue,Davis,CA95616,USA.AbstractInthispaper,weintroduceanimplementationoftheextendedfiniteelementmethodforfractureproblemswithinthefiniteelementsoftwareABAQUSTM.Usersubroutine(UEL)inAbaqusisusedtoenabletheincorporationofextendedfiniteelementcapabiliti

3、es.Weprovidedetailsonthedatainputformattogetherwiththeproposeduserelementsubroutine,whichconstitutesthecoreofthefiniteelementanalysis;however,pre-processingtoolsthatarenecessaryforanX-FEMimple-mentation,butnotdirectlyrelatedtoAbaqus,arenotprovided.Inadditiontoproblemsinline

4、arelasticfracturemechanics,non-linearfrictionalcontactanalysesarealsorealized.Severalnumericalexamplesinfracturemechanicsarepresentedtodemonstratethebenefitsoftheproposedimplementation.Keywords:finiteelementanalysis;extendedfiniteelementmethod(X-FEM);stressintensityfactor;cra

5、ckmodelling;crackpropagation.∗Correspondingauthor.Tel.:+34-96-3877621;fax:+34-96-3877629.Emailaddress:eginerm@mcm.upv.es(E.Giner).PreprintsubmittedtoEngineeringFractureMechanics24October20081INTRODUCTIONInrecentyears,theextendedfiniteelementmethod(X-FEM)[1]hasemergedasapowe

6、rfulnumericalprocedurefortheanalysisofcrackproblems.Ithasbeenwidelyacknowledgedthatthemethodeasescrackgrowthmodellingun-dertheassumptionsoflinearelasticfracturemechanics(LEFM).Sincetheintroductionofthemethodaboutadecadeago,manynewextensionsandap-plicationshaveappearedinthe

7、scientificliterature,withsubstantiallymanycontributionsonX-FEMinrecentyears.Wepointthereadertoreviewarti-cles[2,3]andtoarecentmonograph[4]forgeneraloverviewsontheX-FEM.WedevelopedthepresentimplementationoftheX-FEMinthefiniteele-mentcodeAbaqus[5]forcrackpropagationsimulations

8、infrettingfatigueproblems[6].Intheseproblemscracksemanatefromtheedgeofcontactre-gionsbetw