Model for free dendritic alloy growth under interfacial and bulk phase nonequilibrium conditions

Journal of Crystal Growth

Volumn 197, Issue 4, 1999, Pages 992-1002

  Galenko, P K ^a   Danilov, D A ^a  

^a UDMURT STATE UNIVERSITY   (Russian Federation)

Author keywords

Dendrite; Local nonequilibrium effect; Model; Non Fickian diffusion; Rapid solidification; Solute trapping; Undercooling

Indexed keywords

BINARY ALLOYS; COOLING; CRYSTAL GROWTH; DIFFUSION IN SOLIDS; MATHEMATICAL MODELS; PHASE INTERFACES; RAPID SOLIDIFICATION;

NON-FICKIAN DIFFUSION;

COPPER ALLOYS;

EID: 0033098898     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0248(98)00977-4     Document Type: Article

References (38)

1. J. Lipton, W. Kurz, R. Trivedi, Acta Metall. 35 (1987) 957.
2. W.J. Boettinger, S.R. Coriell, R. Trivedi, in: R. Mehrabian, P.A. Parrish (Eds.), Rapid Solidification Processing: Principles and Technologies IV, Claitor's, Baton Rouge, Louisiana, 1988, p. 13.
3. P.K. Galenko, Kristallografiya 38 (6) (1993) 238 [Crystallogr. Rep. 38 (1993) 836].
4. P.K. Galenko, Kristallografiya 38 (6) (1993) 238 [Crystallogr. Rep. 38 (1993) 836].
5. P. Galenko, Phys. Lett. A 190 (1994) 292.
6. P.K. Galenko, Dokl. Akad. Nauk 334 (1994) 707 [Phys. Dokl. 39 (1994) 111].
7. P.K. Galenko, Dokl. Akad. Nauk 334 (1994) 707 [Phys. Dokl. 39 (1994) 111].
8. P. Galenko, S. Sobolev, Phys. Rev. E 55 (1997) 343.
9. P.K. Galenko, M.D. Kirivilyov, in: M.M. Novak, T.G. Dewey (Eds.), Fractal Frontiers, Proc. 4th Multidisciplinary Conf. Fractals, April 7-11, 1997, Denver, CO, World Scientific, Singapore, 1997, p. 411.
10. W. Kurz, D.J. Fisher, Fundamentals of Solidification, 3rd ed., Trans Tech Publications, Aedermannsdorf, 1992.
11. D.M. Herlach, Mater. Sci. Eng. R12 (1994) 177.
12. G.P. Ivantsov, Dokl. Akad. Nauk SSSR 58 (1947) 567.
13. G. Horvay, J.W. Cahn, Acta Metall. 9 (1961) 695.
14. M.J. Aziz, J. Appl. Phys. 53 (1982) 1158.
15. W.J. Boettinger, S.R. Coriell, in: P.R. Sahm, H. Jones, C.M. Adam (Eds.), Science and Technology of the Undercooled Melt, Martinus Nijhoff, Dordrecht, 1986, p. 81.
16. J.S. Langer, H. Mueller-Krumbhaar, Acta Metall. 26 (1978) 1681.
17. R. Trivedi, W. Kurz, Int. Mater. Rev. 39 (1994) 49.
18. K. Eckler, R.F. Cochrane, D.M. Herlach, B. Feuerbacher, M. Jurisch, Phys. Rev. B 45 (1992) 5019.
19. R. Willnecker, D.M. Herlach, B. Feuerbacher, Appl. Phys. Lett. 56 (1990) 324.
20. D.M. Herlach, B. Feuerbacher, Adv. Space Res. 11 (7) (1991) 255.
21. K. Eckler, D.H. Herlach, M.J. Aziz, Acta Metall. Mater. 42 (1994) 975.
22. P.K. Galenko, D.A. Danilov, Phys. Lett. A 235 (1997) 271.
23. P.K. Galenko, V.A. Zhuravlev, Physics of Dendrites, World Scientific, Singapore, 1994.
24. D. Jou, J. Casas-Vazquez, G. Lebon, Extended Irreversible Thermodynamics, 2nd ed., Springer, Berlin, 1996.
25. J.C. Baker, J.W. Cahn, Solidification, American Society of Metals, Metals Park, OH, 1971, p. 23.
26. S.L. Sobolev, Phys. Stat. Sol. A 156 (1996) 293.
27. M.J. Aziz, T. Kaplan, Acta Metall. 36 (1988) 2335.
28. P. Galenko, Preprint, 1998.
29. R. Trivedi, W. Kurz, Acta Metall. 34 (1986) 1663.
30. A.A. Chernov, in: M. Cardona, P. Fulde, H.J. Queisser (Eds.), Modern Crystallography, vol. III, Springer Series in Solid-State Science, vol. 36, Springer, Berlin, 1984.
31. B. Wei, D.M. Herlach, B. Feuerbacher, Microgravity Q 3 (2-4) (1993) 193.
32. M. Schwarz, C.B. Arnold, M.J. Aziz, D.M. Herlach, Mater. Sci. Eng. A 226-228 (1997) 420.
33. G.A. Colligan, B.J. Bayles, Acta Metall. 10 (1962) 895.
34. T. Suzuki, S. Toyoda, T. Umeda, Y. Kimura, J. Crystal Growth 38 (1977) 123.
35. G.A. Alfintsev, O.P. Fedorov, Metallofizika 3 (4) (1981) 114.
36. V.T. Borisov, Theory of Two-Phase Zone of Metal Ingot, Metallurgia, Moscow, 1987 (in Russian).
37. S.R. Coriell, D. Turnbull, Acta Metall. 30 (1982) 2139.
38. G.P. Ivantsov, Dokl. Akad. Nauk SSSR 83 (1952) 573.