modeling microstructure evolution in engineering materials(1998) (1).pdf

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1、ADVANCbSINAPPLIEDMECHANICS,VOLUME76ModelingMicrostructureEvolutioninEngineeringMaterialsALANC.F.COCKSandSIMONP.A.GILLandJINGZHEPANI.Introduction......................................8211.MicroscopicConstitutiveLaws....................,......84A.DiffusionalProcesses.............................

2、.86B.InterfaceReactions..............................,.88C.MigrationofInterfaces..........,...................89111.ThermodynamicVariationalPrinciple.......................90IV.NumericalModels.........................,........95A.GrainBoundaryDiffusionControlledProcesses................96B.Cou

3、pledGrainBoundaryandSurfaceDiffusion.......,........101C.InterfaceReactions................................111D.CoupledGrainBoundaryDiffusionandSelf-Diffusion............114E.GrainBoundaryMigration............................116F.EffectofChangesinElasticStoredEnergyonMicrostructureEvolution..1

4、36V.Rayleigh-RitzAnalyses...............................150VI.StructureofConstitutiveLawsfortheDeformationofEngineeringMaterials.......................,........I54A.Stage1CompactionofCeramicComponents.................I56VII.ConcludingRemarks......................,..........I59References.......

5、...............................16082AlanC.F:Cocksetal.I.IntroductionInrecentyearstherehasbeenagrowinginterestinmodelingthemicroscopicprocessesthatoccurwithinamaterialwhenitisprocessedorsuffersinelasticdeformationanddamagegrowthundermechanicalloading.Duringprocessing,itisoftenimportanttocontrol

6、certainfeaturesofthemicrostructure.Asimpleexampleisthegrainsize,whichcanhaveasignificantinfluenceonarangeofmechanicalandelectricalproperties(HoneycombeandBhadeshia,1995;SpriggsandDutta,1974;Heywang,1971).Itisthereforeimportanttodevelopappropriatekineticrelationshipsthatcanpredicttheevolutionof

7、thegrainstructure.Incom-ponentsprocessedbyapowderroutethesizeandshapeoftheevolvingporositymustalsobeconsideredandtheinfluenceofthisonthegrainstructureandproper-tiesofthefinishedcomponentevaluated(DuandCocks,1992).Inalloysystemscarefulco