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1、AbaqusImplementationofExtendedFiniteElementMethodUsingaLevelSetRepresentationforThree-DimensionalFatigueCrackGrowthandLifePredictions12134JianxuShi,DavidChopp,JimLua,N.Sukumar,andTedBelytschko1GlobalEngineeringandMaterials,Inc.OneAirportPlace,Princeton,NJ08540
2、U.S.A.2NorthwesternUniversity,Dept.ofEngineeringSciencesandAppliedMathematics2145SheridanRoad,RoomM448,Evanston,IL60208U.S.A.3UniversityofCaliforniaatDavis,Dept.ofCivil&EnvironmentalEngineeringOneShieldsAvenue,Davis,CA95616U.S.A.4NorthwesternUniversity,Dept.of
3、MechanicalEngineering2145SheridanRoad,RoomA212,Evanston,IL60208U.S.A.Abstract:Athree-dimensionalextendedfiniteelementmethod(X-FEM)coupledwithanarrowbandfastmarchingmethod(FMM)isdevelopedandimplementedintheAbaqusfiniteelementpackageforcurvilinearfatiguecrackgro
4、wthandlifepredictionanalysisofmetallicstructures.Giventhelevelsetrepresentationofarbitrarycrackgeometry,thenarrowbandFMMprovidesanefficientwaytoupdatethelevelsetvaluesofitsevolvingcrackfront.Inordertocapturetheplasticityinducedcrackclosureeffect,anelementparti
5、tionandstaterecoveryalgorithmfordynamicallyallocatedGausspointsisadoptedforefficientintegrationofhistoricalstatevariablesinthenear-tipplasticzone.Anelement-basedpenaltyapproachisalsodevelopedtomodelcrackclosureandfriction.Theproposedtechniqueallowsarbitraryins
6、ertionofinitialcracks,independentofabase3Dmodel,andallowsnon-self-similarcrackgrowthpatternwithoutconformingtotheexistingmeshorlocalremeshing.Severalvalidationexamplesarepresentedtodemonstratetheextractionofaccuratestressintensityfactorsforbothstaticandgrowing
7、cracks.FatiguelifepredictionofaflawedhelicopterliftframeundertheASTERIXspectrumloadispresentedtodemonstratetheanalysisprocedureandcapabilitiesofthemethod.Keywords:X-FEM,stressintensityfactor,crackgrowth,fatiguelifeprediction,fracturemechanicsNomenclature???,??
8、maxcrackgrowthvectorattip?,maximumcrackgrowthvector??jumpfunctiondisplacementvariablesatnode?1??,con/jump/tipstrain-displacementmatrixwithrespecttocontinuous/jump/tipdisplacements?
