M相变中K_S关系模型立体图解及数学计算方法

1425219926JOurnalofShenngPolyteChnieLlniversityVol,14No.2SumN.52Jun.1992MKS()MKS.s.:;;;;/s:TGIn.5TG151.20M,.inEc1924[]J,,lMo.;lBsachsGz1930AM,Ks,,3.,(Nishiyama)GT(GrenigerTroian)[45.M,wLR[e.7.,M[s,9.,KS,[l0,.,.,KS,,IKSS,C1.1:199109041992(111),,ABCA.,,1.,(111),,,,2,(Zb)1.2(C)(111),[112,3.0.057nm,19028(e15015,)..[011,\\\\\,,112,.101,IA(21,[0l,,4.10032670032(e690).\\\\\ZA1.4,M,5.fcca0.257nm,e=0.444,a0.248nm,c=0.405nm..1.5M86,bec8,2:MK-S5.(11),19028,011(211)11111y,,,34M,NKs.(111),,12],,,M.2:,R11,KS.(1)1112110,::({1,+1,,+2=0{!!!{)))OOOOOOOOO,,,,,lu,,1=0,-3351992////////}\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\!!!!!\\\68,,,1],3,,,w],(131),,,(13D}..[112])011,(1),(31,.(2)(3).,[111:,[l0,,(1),,(ZD.111,[01,,(l):,21D,.(3)(4),[011]11(2)(211).0111(21(1).56M4,4.(4),(),1[11,,:111,(111),,1,(112),,;:[121,[1y,(111),[111,1,,,,,:}Ulu1,20}11110:uvw,=11,,3KS,Za),7.,fcc,ZaKS.,Ks.Za.,K-S:2:MK-Sl)Za.,7.2)(C)(111):2,,,83)(11,10),,94),M.8bec(6).(11),(11),(331),2I,//_iiiiiii////2,,///.../_____//////////101,(a)()ZT,(b)7fcc(b)81992(2TI)01(a)70032[TIT(c)[011(b)9KS,.:(1)Zb:,0.363nm,a~0.286nm.::~=a,,=257nma=6000+(.222a,)2=0.444nrn=1200=700322:MK-s:a]=ao=0.257nmel=(:ocos19o28=0.419HJ0.222nm:aZ=0.257nmeZ=0.419nm=0.229nm:a6001200900a700321090289008M:.248nm:3=a=0.405nrn30.234nm:=0.2570.248=0.009nrnJe=0.4190.405=0.014nmdH=0.2290.234=0.005nrn(2)Za):a70032=109028=9000.574nmH0.222nm(19028,):a]=0.257nma=600el=Cocos19o28=0.541nm1200H=0.222nm900:aZ=0.257nma=70032~0.541nm109028H2~0.229nm~900,:a=0.2570.248=0.009nmJe=0.5410.405=0.136nrn()H=0.2290.234=0.005nm,190281,c,K--S.1992KSK-s1KSKS:(111),11(011):RHO,:(o1):,11(11)(111):,}I(011).(),,():~ZH+IK+llJK1H0}11:(),=(12),,(2)-ZHIKlKlH1100:()=(1)(21:(21),}}(1)a4.1.2S(S),))(1)nU1.”l,So....leses,,...O1”1,ln,.11111,1(S)(2);Q1,.”!JQ!11,.1.1111.rl.1n,11.119Ž,1Jrl,1J.111,1,11111nU11..1A-AJ1~A12Jn111!A}111!12....Qd1103911,2:MSl.lweee.JQ9†1103(3)9z6A(2):!!IJOq,103,JQ9....llseJ!!l!111nU1111d11,1.,442006fles..eslles1.16S164.2KSM,,(S):l.....,.,...,,016S,_,1)i-l{,1..eel!IJn”11QR†nz6SUJn.lj,IQOnUn(S)-4.3(l)(121),{225},,...leeee30.,!11..,..,..,.110,O}{41{{{,}{j,LO06JL166,Ž,SKHlwetles...l11.leslQUnUnU16bSrHKL1992!2}}!24!=}{12{{}!}!=!2!}{1!16,(121),,,(522),,(2){{{0)}1!=}l}{z},}1{Q11,.011,....,..lwejr..1..11,QƒbOnU,J0”16!1.....1d0ŽUQ,1zl.es!],/SS.Z?JaI!l”HKLHKLZ...l.to,..Jl..r.l.wese(3)(o{4i!ro(S,}}14,1}!!LIJ,to06JLIJ,1.I.es..lesJl|,006Sp..weeseeweeslJeeweseileelJlesesweesl,.krse!sellselesl,,M.IEInEC.Trans.AIME1924;70:252SaehSGZ.Mtallk.1932;24:2413KurdjumoVGV.chSGZ.yslk.1930;64:3254GreningerAB,TronoAR.TAIME1949;185:5905NisyamaZ.SenceRePtsTOhOlmP.Univ,Firstser.1934;23:6386W*eCbslerMS,UemanDS.RdTA,Trans.AIM[E,1953;197:154037ActonAF,visM.Mt.1.Eng.19691970;5:198..:,1980;3289..:,1988:42810..:,1981:9911..:,1987:972:MK--S87ThreeDimensiona1DgramsAndMathematiealCaleulationofK5RelationMelInA~MTransformation(pt.ofMetalMaterialEnneering,SYPU)AractThethreedimeonaldiagramsareProvidedforexPlainingtheshearProcessof5relationinAMtransforrnation.TheindicesoferystallograPePlanesanddirectionsineaehstageofshearProcandtheireorrespondingrelationbeforeandafterAMtransformationarecaiculatedandeheCkedmathematieallywithvectorarnatrixoperationsKeywords:martensitettansforlnation;stereonlodel;ealeulation;vectormatriees/K5relation