Phase-field study of the cellular bifurcation in dilute binary alloys

Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

Volumn 38 A, Issue 7, 2007, Pages 1407-1416

  Meca, Esteban ^a   Plapp, Mathis ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; METALLOGRAPHIC MICROSTRUCTURE; MORPHOLOGY; SOLIDIFICATION; TIN ALLOYS;

CELLULAR BIFURCATION; SOLIDI FICATION;

BINARY ALLOYS;

EID: 34547428976     PISSN: 10735623     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11661-007-9166-x     Document Type: Conference Paper

References (32)

1. Rutter J.W. and Chalmers B. (1953). Can. J. Phys., 31: 15-39
2. Bower T.F., Brody H.D., and Flemings M.C. (1966). Trans. TMS-AIME, 236: 624-34
3. Burden M.H. and Hunt J.D. (1974). J. Cryst. Growth, 22: 109-16
4. Kurz W. and Fisher D.J. (1981). Acta Metall., 29:11-20
5. Karma A. and Pelcé P. (1989). Phys. Rev. A., 39: 4162-69
6. Hunt J.D. and Lu S.-Z. (1996). Metall. Mater. Trans. A, 27:611-23
7. W.J. Boettinger, J.A. Warren, C. Beckermann, and A. Karma: Annu. Rev. Mater. Res., 2002, vol. 32, pp. 163-94.
8. Karma A. and Rappel W.-J. (1998). Phys. Rev. E, 57:4323-49
9. Plapp M. and Dejmek M. (2004). Europhys. Lett., 65: 276- 82
10. Echebarria B., Folch R., Karma A., and Plapp M. (2004). Phys. Rev. E, 70: 061604
11. Folch R. and Plapp M. (2005). Phys. Rev. E, 72: 011602
12. Bi Z. and Sekerka R.F. (2002). J. Cryst. Growth, 237-39: 138-43
13. Lan C.W., Shih C.J., and Hsu W.T. (2004). J. Cryst. Growth, 264: 379-84
14. Boettinger W.J. and Warren J.A. (1999). J. Cryst. Growth, 200: 583-91
15. Wollkind D.J. and Segel L.A. (1970). Phil. Trans. R. Soc. London, 268: 351-80
16. Caroli B., Caroli C., and Roulet B. (1982). J. Phys. (France), 43:1767-80
17. Sriranganathan R., Wollkind D.J., and Oulton D.B. (1983). J. Cryst. Growth, 62: 265-83
18. Wollkind D.J., Sriranganathan R., and Oulton D.B. (1984). Physica D, 12: 215-40
19. Conti M. and Marconi U.M.B. (2000). Phys. Rev. E, 63: 011502
20. P. Kurowski, S. de Chevigné, G. Faivre, and C. Guthmann: J. Phys. (France), 1989, vol. 50, pp. 3007-19.
21. Brattkus K. (1989). J. Phys. (France), 50: 2999-3006
22. Morris L.R. and Winegard W.C. (1969). J. Cryst. Growth, 5: 361-75
23. Takahashi T., Kamio A., and Trung N.A. (1974). J. Cryst. Growth, 24/25: 477-83
24. Lehmann P., Moreau R., Camel D., and Favier J.J. (1998). J. Cryst. Growth, 187: 527-42
25. McFadden G.B., Boisvert R.F., and Coriell S.R. (1987). J. Cryst. Growth, 84: 371-88
26. Karma A. (2001). Phys. Rev. Lett., 87: 115701
27. Garandet J.P., G. Boutet, P. Lehmann, B. Drevet, D. Camel, A. Rouzaud, Favier J.J., G. Faivre, S. Coriell, J.I.D. Alexander, and B. Billia (2005). J. Cryst. Growth, 279: 195-205
28. Mullins W.W. and Sekerka R.F. (1964). J. Appl. Phys., 35: 444-51
29. Grossmann B., Elder K.R., Grant M., and Kosterlitz J.M. (1993). Phys. Rev. Lett., 71: 3323-26
30. K. Tsiveriotis and R.A. Brown: Phys. Rev. B: Condens. Matter Mater. Phys., 1993, vol. 48, pp. 13495-501; Phys. Rev. B: Condens. Matter Mater. Phys., 1994, vol. 49, pp. 12724-37.
31. Haug P. (1989). Phys. Rev. A., 40: 7253-64
32. K. Kassner, C. Misbah, H. Müer-Krumbhaar, and A. Valance. Phys. Rev. E, 1994, vol. 49, pp. 5477-94.