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1、ActaMaterialia52(2004)4639–4650www.actamat-journals.comAnisotropicductilefracturePartII:theorya,*bbA.A.Benzerga,J.Besson,A.PineauaDepartmentofAerospaceEngineering,TexasA&MUniversity,3141TAMU,CollegeStation,TX77843-3141,USAbEcoledesMinesdeParis,CentredesMater
2、iaux,UMRCNRS7633,BP87,F91003EvryCedex,FranceReceived18December2003;receivedinrevisedform8June2004;accepted11June2004Availableonline15July2004AbstractAtheoryofanisotropicductilefractureisoutlinedandappliedtopredictfailureinalowalloysteel.Thetheoryaccountsforin
3、itialanisotropyandmicrostructureevolution(plasticanisotropy,porosity,voidshape,orientationandspacing)andissupple-mentedbyarecentmicromechanicalmodelofvoid-coalescence.Arate-dependentversionofthetheoryisemployedtosolveboundaryvalueproblems.Theapplicationtothes
4、tudiedsteelreliesonmaterialparametersinferredfromquantitativemetallog-raphymeasurements.Thequantitativepredictionofdamageaccumulationandcrackinitiationinnotchedbarsisachievedwithoutanyadjustablefactorandisdiscussedundervariousstressstatesandloadingorientation
5、s.Ó2004ActaMaterialiaInc.PublishedbyElsevierLtd.Allrightsreserved.Keywords:Alloys;Anisotropicplasticity;Fracture;Voidcoalescence;Micromechanics1.Introductionelementaryvolumeand(ii)neglectsmicrostructureevolution,namelyplasticanisotropyandvoidshape.ItInthisart
6、icleweaddresstheissueofthequantitativeisnowestablishedthatacompetinglocalizeddilationalpredictionofductilefracture.Tothatend,ananiso-mechanismofplasticity,associatedwithvoidcoales-tropictheoryispresented,whichisbasedontheme-cence,needstobeaccountedfor;see[10–
7、13].Itisalsochanicsofporousplasticmaterials.Thetheoryisestablishedthattheconceptofpressure-sensitivityneedsappliedtomodeltheanisotropicfailureofalowalloyrefinementthroughtheincorporationofvoidshapeef-mediumstrengthsteelcharacterizedinPartIofthisfects[14–17].Ea
8、rlierattemptstoincorporatevoidshapework[1].Theaimofthepredictionispreciselytobeeffectsinmicromechanicalmodels,e.g.[18],wereofanquantitative,thatismatchingexperimentswithoutfittingempiricalc
