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1、InternationalJournalofFatigue25(2003)877884www.elsevier.com/locate/ijfatigueFiniteelementmodelingofmicrostructurallysmallcracksusingsinglecrystalplasticity?G.P.Potirniche,S.R.DaniewiczMississippiStateUniversity,DepartmentofMechanicalEngineering,210CarpenterBuilding,P.O.BoxME,MississippiState,MS3976
2、2,USAAbstractFiniteelementsimulationsofsmallfatiguecrackswereperformedusingcrystalplasticitytheorytodescribethedeformationbehaviornearthecracktip.Arate-independentsmallstrainformulationfromcrystalplasticitytheorywasimplemented.Constantamplitudeloadswereapplied,withaloadratioofR=0.3.Crackopeningstre
3、ssesandcracktipopeningdisplacementrangesweresimulatedasthecrackgrewinasinglegrain,aswellaswhenthecrackgrewtowardagrainboundary.Crackgrowthinsinglegrainsindicatedthatstabilizationofthecrackopeningstressesoccursrelativelyrapidly(510mmofcrackgrowth).Studiesofcrackgrowthtowardagrainboundaryrevealedthat
4、,dependingontheorientationoftheadjacentgrain,thecrackgrowthrateissigni?cantlyaffected.Iftheangleofmisorientationbetweenthetwoadjacentgrainsissmall,theneighboringgraincanincreasethegrowthratenearthegrainboundary.Ifthemisorientationangleishigh,thefatiguecrackgrowthratewillbesigni?cantlyslowedneartheg
5、rainboundary.ó2003ElsevierLtd.Allrightsreserved.Keywords:Fatiguecrackpropagation;Smallcrack;Crackclosure;Plasticity;Crystalplasticity1.Introductionthatgeneratedinanisotropicmaterial,resultingindif-ferentplasticity-inducedcrackclosurebehavior.Thein?uenceofmicrostructuralfeaturesonsmallResearchershav
6、eacknowledgedthepotentialofthefatiguecrackgrowthiscomplex.NumeroustheoreticalconstitutiverelationshipsofCPtheoryinexplainingthemodels(Barenblatt[1],ElHaddadetal.[2,3],Chanetparticularbehaviorofcracksinthemicrostructurallyal.[4],Hobson[5],McEvily[6],delosRiosetal.[7smallstage.Riceetal.[10]werethe?rs
7、ttoapplyCP9])havebeenproposedforsmallcracksthatincorporatetheorytoafracturemechanicsproblem.TheycomputedtheeffectofmicrostructuralfeaturessuchasgraincracktipplasticzonesformodeIstationaryandgrowingboundarie