Phase-field modeling of diffusion controlled phase ... - KTH Mechanics

I. Loginova et al. / Acta Materialia 51 (2003) 1327–13391339G mom 9180.5 9.283T9309.8 t46 t10135 600 t16Diffusional mobility in g [12]:RTMC g 4.529·10 exp 2.221·104 1995;43:689.[17] Gear CW. Numerical initial value problems in ordinary1 differential equations. Englewood Cliffs, NJ: Prentice-7 (B2)Hall, 1971.T[18] HARWELL Subroutine Library Specification, ComputerScience and Systems Division, HARWELL Laboratory,(17767u C 26436)m 2 s 1 Mobility of a/g interface [19]:(A6b)M 0.035exp 17700Tm 4 J 1 s 1 (B3)if t 1where t T/T C and T c 1043 K is theCurie temperature.References0G g Fe 237.57 132.416T24.6643TlnT0.00375752T 2(A7)[1] Hillert M. Metall. Mater. Trans. 2002;33A:2299–308.[2] Hillert M, Sundman B. Acta Met. 1977;25(11).5.89269·10 8 T 3 77358.5T 1[3] Ågren J. Acta Met. 1989;37:181.[4] Liu Z-K, Ågren J. Acta Met. 1989;37:3157.0G g FeC 0 GFe g 7720715.877T (A8) [5] Loginova I, Amberg G, Ågren J. Acta Mater. 2001;49:573.[6] Artemev A, Jin Y, Khachaturyan AG. Acta Mater.L g Cva 34671(A10)2001;49:1165.V m 710 6 m 3 mol 1(A11)[7] Ahmad NA, Wheeler AA, Boettinger WJ, McFadden GB.Phys. Rev. E 1998;58:3436–50.[8] Gustafson P. Scand. J. Metall. 1985;14:259.[9] Cahn JW, Allen SM. J. Phys. (Paris) Colloque1977;C7:C7–C51.Appendix B Kinetic parameters for Fe–C[10] Andersson J-O, Ågren J. J. Appl. Phys. 1992;72:1350.[11] Ågren J. Acta Met. 1982;30:841.Diffusional mobility in a [11]:[12] Ågren J. Scripta Met. 1986;20:1507.RTM a C 0.02·10 4 exp 10115[13] Hillert M. Phase equilibria, phase diagrams and phasetransformations—their thermodynamic basis. Cambridge,Texp0.5898 (B1)UK: Cambridge University Press, 1998.[14] Borgenstam A, Engström A,Höglund L, Ågren J. J. Phase1 2 p arctan 14.985 15309Equilibria 2000;21:269.Tm 2 s 1[15] Enomoto M. Acta Mater. 1999;47:3533.[16] Boettinger WJ, Warren JW. Acta Metall. Mater.Oxfordshire OX11 0RA, UK.[19] Hillert M. Metall. Trans. A 1975;6A:5.