Calibrating a J2 plasticity material model using a 2D inverse finite element procedure.pdf

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1、Availableonlineatwww.sciencedirect.comInternationalJournalofSolidsandStructures45(2008)1244–1263www.elsevier.com/locate/ijsolstrCalibratingaJ2plasticitymaterialmodelusinga2Dinversefiniteelementprocedureab,*bHasanCharkas,HayderRasheed,YacoubNajjaraStructural&FractureMechanicsUnit,AREVANPInc

2、.,Lynchburg,VA24501,USAbDepartmentofCivilEngineering,KansasStateUniversity,Manhattan,KS66506,USAReceived18May2007;receivedinrevisedform13July2007Availableonline4November2007AbstractMaterialmodelsarethekeyingredientstoaccuratelycapturetheglobalmechanicalresponseofstructuralsystems.Theuseof

3、finiteelementanalysishasproventobeeffectiveinsimulatingnonlinearengineeringapplications.However,thechoiceoftheappropriatematerialmodelplaysabigroleinthevalueofthenumericalpredictions.Suchmodelsarenotexpectedtoexactlyreproduceglobalexperimentalresponseinallcases.Alternatively,themeasuredglob

4、alresponseatspecificdomainorsurfacepointscanbeusedtoguidethenonlinearanalysistosuccessivelyextractarepresentativematerialmodel.Byselectinganinitialsetofstress–straindatapoints,theload–displacementresponseatthemonitoringpointsiscomputedinaforwardincrementalanalysiswithoutiterations.Thisanal

5、ysisretainsthestressesattheintegrationpoints.Thecorrespondingstrainsarenotaccuratesincethecomputeddisplacementsarenotanticipatedtomatchthemea-sureddisplacementsatthemonitoringpoints.Therefore,acorrectiveincrementaldisplacementanalysisisperformedatthesameloadstepstoadjustfordisplacementsan

6、dstrainseverywherebymatchingthemeasureddisplacementsatthemon-itoringpoints.Thestress–strainvectorsatthemosthighlystressedintegrationpointarefoundtoestablishanimprovedmaterialmodel.Thismodelisusedwithinamulti-passincrementalnonlinearfiniteelementanalysisuntilthediscrepancybetweenthemeasured

7、andthepredictedstructuralresponseatthemonitoringpointsvanishes.TheJ2flowtheoryofplas-ticityisusedasaconstitutiveframeworktobuildthetangentelastic–plasticmatrices.Theapplicabilityoftheproposedapproachisdemonstratedbysolving2Dinversecontinuumproblems.Thecomparisonspres