马氏体相变的取向关系及变体

X1,2,1,1(1.,075024;2.,050091):,,K2SNishiyama().K2SNishiyama()2,22412.:;;:TG111.5:A:100025854(2009)0420482203,,,[1,2].,,(Zr,Li,Co)(Fe2Ni,Au2Cd,Ni2Ti,Cu2Zn,Cu2Zn2Al,Cu2Al2Ni)(ZrO2).,(),20a.1924,[36].,,;,.2050,Wechsler,,,.,,.,2.2;.KurdjumovSachs,Nishiyama,GreningerTroiano.Fe2CFe2Ni2C,{111},{225}{259}.:K2S(Kurdjumov2Saches)[6],N2W(Nishiyama2Wassermann)[7],G2T(Greninger2Troiano).Fe21.4C,,,KurdjumovSachsX,(111)A//(011)M[011]A//[111]M,K2S;1934,Fe2Ni,K2S,-70:(111)A//(101)M[121]A//[101]M;1994,GreningerTroianoFe2Ni2CK2S,,12,GT:(111)A(011)M[101]A[111]M,1.2,K2S516.1K2S1930,KurdjumovSachsFe1.4C:(111)A//(011)M[011]A//[111]M,K2S.,4{111},(111),(111),(111),(111),{111},3110,(111)3110[110],[011],[101].110,2,{111}6.3(111)6.(111)A,(110)M,X:20081112:(59771040):(1965),,,,,.33/4/20097//JOURNALOFHEBEINORMALUNIVERSITY/NaturalScienceEdition/Vol.33No.4Jul.20091Fe2C23(111)AK2S(111)A(110)M.,[110]A.[111]A,,K2S.3,(111)A,3[101]A,[101]A,2.(111)A6,4,24.,(variant)[8].K2S,24,1.3841K2S24(111)[110][110][011][011][101][101](111)[101][011][101][011][101][110](111)[011][101][101][110][110][011](111)[011][101][100][101][110][011]2(Nishiyama)[7]1934,Fe230Ni,K2S,-70:(111)A//(101)M[121]A//[101]M,,4.4,{111}A,33112A.33{110}M,110M.4,:(111)A//(101)M[121]A//[101]M,.4(111),(111),(111),(111),(101),3121,[121],[211],[112]((111)).3[101].12,12(2).4(111)A[8]212(111)[112][211][121](111)[112][112][121](111)[112][211][121](111)[112][211][121]3,3,K2SG2T.K2S,2,2,,.(490)484[15]YANGT,YANGLB,YANGCM.BreakingChaoticSwitchingUsingGeneralizedSynchronization[J].IEEETransactionsonCircuitsandSystemsI:FundamentalTheoryandApplications,1998,45(10):106221067.[16].[J].,1998,20(1):93297.GeneralizedSynchronizationofChaoticSystemwithConstantLyapunovExponentSpectrumLIChun2biao1,2,LIUBao2bin1,2(1.DepartmentofEngineeringTechniques,JiangsuInstituteofEconomicandTradeTechnology,JiangsuNanjing210007,China;2.DepartmentofElectricSourceandSystem,JiangsuResearchandDevelopmentCenterofFoodSafetyEngineeringTechnology,JiangsuNanjing210007,China)Abstract:Aconstant2Lyapunov2exponent2spectrumchaoticsystemwasproposedbyLietalwhereexistsaspeciallocalamplitudemodulationparameterchangingtheamplitudesofcertaintwosignalsgeneratedbythesys2teminlinearitywhilethedynamicalbehaviorkeepsoninvariableatthesametime.Bymeansofgeneralizedsyn2chronization,synchronizedcontrolofchaoticsystemwithconstantLyapunovexponentspectrumisstudied.Meanwhilethemethodofchaotichidingisusedtodoexperimentsofnumericalsimulation.Theresultprovestheeffectivenessofgenerizedsynchronizationofthisspectialchaoticsystem,anditsapplicationprospectispointedout.Keywords:chaoticsystemwithconstantLyapunovexponentspectrum;generalizedsynchronization;chaossecretcommunication()(484):[1].[M].:,1999:4832521.[2].[M].:,1993:1082131.[3]NISHIYAMAZ.MartensiticTransformation[M].NewYork:AcademicPress,1978:3242362.[4],.[M].:,1992:2512271.[5]BAINEC.NatureofMartensite[J].TransAime,1924,70:25228.[6]KURDJUMOVG,SACHSGUberdenMechanisMusderStahlhartung[J].PhysikZ(inGerman),1930,64:3252332.[7]NISHIYAMAZ.X2rayInvestigationoftheMechanismoftheTransformationfromFace2centeredCubicLatticetoBodyCen2teredCubic[J].SciRepTohokuUniv(FirstSer),193421935,23:6382651.[8].[M].:,1987:79281.StudyontheOrientationRelationshipsandtheVariantsoftheMartensiteWANGRui2jun1,ZHAOSu2ying2,ZHANGLi2gang1,HUJin2jiang1(1.DepartmentofMathematicsandPhysics,HebeiInstituteofArchitectureCivilEngineering,HebeiZhangjiakou075024,China;2.DepartmentofInformationEngineeringandAutomation,HebeiInsituteVocationandTechnology,HebeiShijiazhuang050091,China)Abstract:Theparentphasewouldbeappearedinthemartensitetransformation,forexample:K2Srelation2ships,Nishiyamarelationships.AllthemartensitevariantssatisfyingK2Srelationships,Nishiyamarelationshipsaregiven.Keywords:martensitetransformation;orientationsrelationships;variants()094