热变形低碳钢中奥氏体静态再结晶介观尺度模拟

} _! Xp T < G P] R 0 ^\ 4 9 {b g ; M nG (cellular automaton, CA) ;} " u @ p P] Xp r$ ` );}q- 1] . X 90 _W Hesselbarth H Gobel 2] *Lh CA ?F EX p P] 2 ! M nGZ P] Xp ; I D^$ e:?F P] E Xp 2;5] n E Xp 6 7] n E Xp 8] Xp r $ 9] b 2 Tv 5P FL2 , @Q2M r$ tXp k` F (2M ,y y" -_X\ P\ bRGp FO b E 2ZPl; U ( 2;8] Ef_X` e ( 10] , ECh F `T< +\Xp P Z ; h-\ H V o & x! : `FO ( " 7& U` P ZZ+ U ` o n , 6Y + *X2 p U FO `& U (BtXp *>6 { Z :? 1
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10] Dewri R, Chakraborti N. Model Simul Mater Sci Eng, 2005 13: 173 11] Doherty R D, Hughes D A, Humphreys F J, Jonas J J, Jensen D J, Kassner M E, King W E, McNelley T R, McQueen H J, Rollett A D. Mater Sci Eng, 1997 A238: 219 12] Solas D E, Tome C N, Engler O, Wenk H R. Acta Mater, 2001: 49: 3791 13] Choi S H, Cho J H. Mater Sci Eng, 2005 A405: 86 14] Hill R, Rice J R. J Int Phys Solids, 2004 20: 339 15] Radhakrishnan B, Sarma G B, Zacharia T. Acta Mater, 1998 46: 4415 16] Raabe D, Becker R C. Model Simul Mater Sci Eng, 2000 8: 445 17] Humphreys F J. Mater Sci Forum, 2004 467-470: 107 18] Song X Y, Rettenmayr M, Muller C, Exner H E. Metall Mater Trans, 2001 32A: 2199 19] Davies C H J. Scr Mater, 1997 36: 35 20] Hutchinson W B. Int Met Rev, 1984 29: 25
Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016 Correspondent: LI Dianzhong, professor, Tel: (024)23971281, E-mail: dzli@ Manuscript received 2005{11{29, in revised form 2006{03{03
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gb : } cG ; $P E Xp u @p P] 475 - `8T 9A V H r j 0 A M /r Ij 0 x n P] ; { ? `& U " Xp P] ` XO q 11] . .P l "S ^ v f1 ; \Xp P] ; U ` ) $S*T< E & ) r ! D^FO ` ( V = MP (3) ) Solas b 12] ?vg k/a : P (VPSC) P]4 fcc x - Zn `FO 2M ,y ( S * ; Xp r j 0 A M " X b Xp x n .n Monte Carlo ;} P]4 Xp Choi b 13] p1i r`j09A H r l5 D0 r JC Qb # (EBSD) ` &p(T <4y y ` 19] . 2Md p T C F ( P]4 IF ` E Xp <Z FF P: Qb D0 b2 &B `C u M;} (CPFEM) * " Z , @pT < F exp(; RT ) (4) M= 14] . Radhakrishnan b 15] ?FF P kT O `C . ;} : &B ` ` FEM `T < p(l6 4 Xp B R ; b ^b R Burgers 2P R ^iP 7 5 P] e ; `FO (/ ,y ( ? Monte Carlo ; ;\ M ^ T } P]4 fcc x - `B EXp Raabe b 16] ? 1.2 i%r/ Md M nGp1 P: C u M`;}t $ Z 6 Al ` e .?z `{ l M nG;} P] $P X B EXp | 4P] p ` -/8T*> 0 {Fe $ `q6 d @ e .? P: C u M M nG ! 1 P 20] ` &p( h ] XM`X b @Q y QQ ^ 1 m P]4} c G ` E Xp Z P] *> ; h 1.0 m, ? 182 115 l > ] % P]t I CPFEM T < ` F ( ^ B R e m \z Z ] 182 m 115 m ` t I YP] Xp `$ `} Z $P E Xp `M nG P Z ; *> r R e.? e r R e M ` : n ly CPFEM `T < p(Zu @p l 2J24 $P ^M ` }: 1 y:M ]` % LCA ^ 1 m. F `& U ( ^P] $P Xp - M 4a F M C 4 Kj 2 #" (1) ,y 2 s. ^P]Xp -8T M 4x n . ( k y 0|180 q]`>Gk5 " Xp ,`y (2) MxZXp CA P ; ?4 & U ` { F 2 (3) E 2 ?!t M XMB-` e Z& T8 r - a nP]4} c G $P E k 5 0 W" $PE k 5 2 " Xp EXp ` -/8T*> $IB4F & U (t $PE k5 1 W" XM;T +Xp E/ Xp r$<Mn . ` { E (4) Xp 5 2 $PXp *>;` r$ 1 =ULc 2u` <!| P] < S *M ` 2 4 P]`F *>T{ ^ 2 n Q * 1.1 e'#SYEVj@CMd (1) B R e Xp q k ` $P r2M 1.1.1 yz x $P q6 Y+O F ` (S* P: Cu M;}T < ^\ $hh ZT 2 ` 2 r ) V b R b ZX p(= \ CA %] ] Z ; g ; y 2 u/F p *> ; E rq Z h 2b|* ^Xp 17] . Z O 2u ! CPFEM `T<p( F F 8 r -F , A p -` b | (2) - Xp -O] " -y{ ZO -P 2"S ^ 18] r/ YFO :*8 r -F `b | FO RT c _ N = C0 (ED ; ED )exp(;Qa =kT ) (1) ` - A *RT 8KtF F XM *p T < _ ^ Xp - A C0 ^ 7 5 ED ^ F XM` 2 S * (1) E (2) T < - A $. n ; N c T < - ]*8 Y XM` - A Pnuc : ED ^ { Xp - B ` 8 rF Qa ^ X p -JC k ^ Boltzmann 7 5 T ^ t d _ (5) Pnuc = N S dt p Z r BFC r EB M w Z - x n . X p - A "S ^ ; S ^ XM I I XM 2 E `T < 0 et 21] c _ N = C0 (ED + EB ; ED )exp(;Qa =kT ) (2) ; B ?`;} e # IB4 h TFO ` 30%, 50% / 70% 1 6 E (1 ; ) (6) E = ED + ^{ -`8rF ` o 2 =1
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