COMPUTATIONAL MATERIALS ENGINEERING Episode 9 doc

... Transformation 197 0.1 0.3 0.5 0.7 0 .9 1.1 1.3 1.5 1.7 1 .9 0.0 0.2 0.4 0.6 0.8 1.0 Normalized Precipitate Radius Normalized Number Density 1.2 A 0.1 0.3 0.5 0.7 0 .9 1.1 1.3 1.5 1.7 1 .9 0.0 0.2 0.4 0.6 0.8 1.0 Normalized ... approximation, equation (6. 29) can deliver reasonable first estimates of interfacial energies even for general matrix–precipitate interfaces. 196 COMPUTATIONAL...

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... ! FUNCTION GHSERFE 2 .98 140E+02 +1225.7+124.134*T-23.5143*T*LN(T) 004 397 52*T**2-5. 892 7E-08*T**3+773 59* T**(-1); 1.81100E+03 Y -25383.581+ 299 .31255*T-46*T*LN(T)+2. 296 03E+31*T**( -9) ; 6.00000E+03 N ... ln(β m +1)·  τ −5 10 + τ −15 315 + τ −25 1500   518 1125 + 11 692 1 597 5  1 p − 1  (2.100) and for τ<1,wehave mo G m = RT ln(β m +1)  1 −  79 −1 140p + 474 497  1 p...

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... Hesselbarth ( 199 1 ) [HG91], Hesselbarth ( 199 3) [HKH93], McCarthy ( 199 4) [McC94], Pezzee ( 199 4) [PD94], Davies ( 199 5) [Dav95], Bullard ( 199 5) [BGCJ95], Liu ( 199 6) [LBP96], Davies ( 199 7) [Dav97], Kremeyer ... ( 199 5) [BGCJ95], Liu ( 199 6) [LBP96], Davies ( 199 7) [Dav97], Kremeyer ( 199 8) [Kre98], Davies ( 199 9) [DH 99] , Marx ( 199 9) [MRG 99] , Ostrovsky (2001) [OCSBY01],...

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... experiments have been carried out by Ernest Kirkendall ( 191 4–2005), an American metallurgist, between 193 9 and 194 7. In a series of three papers [KTU 39, Kir42, SK47], Kirkendall and co-workers investigated the ... in ruhenden Fl¨ussigkeiten suspendierten Teilchen. Annalen der Physik, 17:5 49, 190 5. [Fic55] A. E. Fick. ¨ Uber Diffusion, Vol. 94 , p. 59. 1855. [Gli00] M. E. Glicksman. Diff...

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... 426–430, 199 7. [TA98] T. T ¨ onhardt and G. Amberg. J. Cryst. Growth, 194 :406, 199 8. [Vis96] A. Visintin. 199 6. [WB94] J. A. Warren and W. J. Boettinger. Acta. Metall. Mater., 43:6 89, 199 4. [WBM92] ... E, 61: 399 6–4006, 2000. [Kob91] R. Kobayashi. Bull. Jpn. Soc. Ind. Appl. Math., 1:22, 199 1. [Kob93] R. Kobayashi. Physica D, 63:410, 199 3. [Kob94] R. Kobayashi. Exp. Math, 3:60, 199 4....

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... 331 H Hamiltonian, 48, 49, 66, 69, 77, 91 Heat Equation, 3 19, 320 Heat capacity, see specific heat cap. Heat flux, 15 Heat reservoir, 13 Heat transport equation, 2 39 Helmholtz Equation, 3 19 Henry’s law, ... definition, 10 Entropy functional, 222, 241 Equation Diffusion, 3 19 Heat, 3 19 Helmholtz, 3 19 Poisson, 3 19 Wave, 3 19 Equation of motion, 3 29 Equilibrium, 16, 302 Equation, 27...

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... Interfaces in Crystalline Materials. Clarendon Press, Oxford, 199 5. [Set 99] J. A. Sethian. Level Set Methods and Fast Marching Methods. Cambridge University Press, Cambridge, 199 9. [Tor02] S. Torquato. ... NJ, 2004. [HR 99] W. Han and B. D. Reddy. Plasticity—Mathematical Theory and Numerical Analysis. Springer-Verlag, Berlin, 199 9. [LC90] J. Lemaitre and J L. Chaboche. Mechanics of Soli...

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... fractions on each sublattice we have  i y s i =1 (2 .94 ) and 0 ≤ y s i ≤ 1 (2 .95 ) 34 COMPUTATIONAL MATERIALS ENGINEERING Equations (2 .94 ) and (2 .95 ) can be viewed as constraints of the thermodynamic ... y m ) k (2 .99 ) Extension of equations (2 .98 ) and (2 .99 ) to more sublattices is straightforward and will not further be discussed in this book. The reader is referred to ref...

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... faceting, nor is it shown in the migration of boundaries in general. 62 COMPUTATIONAL MATERIALS ENGINEERING FIGURE 3- 19 The effect of anisotropic boundary energy on microstructure during grain ... are stable (due to the ratios of R A and R B ) grain growth can stop due to the 70 COMPUTATIONAL MATERIALS ENGINEERING the plots; this is due to the size of the domain initially increa...

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... Phys., 27 :90 0 90 4, 195 6. [RM97] A. D. Rollett and W. W. Mullins. Scripta Mater., 36 :97 5, 199 7. [RR01] A. D. Rollett and D. Raabe. A hybrid model for mesoscopic simulation recrystallisation. Computational Materials ... Mater., 53(4) :97 7 98 9, 2005. [HB01] E. A. Holm and C. C. Battaile. JOM, 53:203, 2001. [Her 49] C. Herring. Surface Tension as a Motivation for Sintering. McGraw-Hi...

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