Phase-field modeling of microstructural pattern formation during directional solidification of peritectic alloys without morphological instability

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 3, 2001, Pages

  Shing Lo, Tak ^a,b   Karma, Alain ^a   Plapp, Mathis ^a,c  

^a NORTHEASTERN UNIVERSITY   (United States)

^b NEW YORK UNIVERSITY   (United States)

^c LABORATOIRE DE PHYSIQUE DE LA MATIÈRE CONDENSÉE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85035253107     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.031504     Document Type: Article

References (29)

1. W. J. Boettinger, S. R. Coriell, A. L. Greer, A. Karma, W. Kurz, M. Rappaz, and R. Trivedi, Acta Mater. 48, 43 (2000).
2. W. W. Mullins and R. F. Sekerka, J. Appl. Phys. 3, 444 (1964).
3. T. Umeda, T. Okane, and W. Kurz, Acta Mater. 44, 4209 (1996).
4. W. J. Boettinger, Metall. Trans. 5, 2023 (1974).
5. H. D. Brody and S. A. David, in Proceedings of the International Conference on Solidification and Casting (Institute of Metals, London, 1977), Vol. 1, p. 144.
6. A. P. Titchener and J. A. Spittle, Acta Metall. 23, 497 (1975).
7. A. Ostrowski and E. W. Langer in Proceedings of the International Conference on Solidification and Casting (Ref. 5), p. 139.
8. N. J. W. Barker and A. Hellawell, Met. Sci. 8, 353 (1974).
9. B. C. Fuh, Ph.D thesis, Iowa State University, Ames, IA, 1984.
10. M. Vandyoussefi, H. W. Kerr, and W. Kurz, Acta Mater. 45, 4093 (1997);M. Vandyoussefi, Ph.D. thesis, École Polytechnique Fédérale de Lausanne, Switzerland, 1997.
11. R. Trivedi, Metall. Mater. Trans. A 26A, 1 (1995).
12. A. Karma, W. J. Rappel, B. C. Fuh, and R. Trivedi, Metall. Mater. Trans. A 29A, 1457 (1998).
13. J. S. Park and R. Trivedi, J. Cryst. Growth 187, 511 (1998);R. Trivedi et al., Proceedings of the 1998 Zermatt Workshop on Solidification Microstructures, edited by M. Pappaz and R. Trivedi. (This CD may be obtained from the laboratory of physical metallurgy, EPFL, Lausanne, Switzerland.)
14. P. Mazumder, R. Trivedi, and A. Karma, inPhase Transformations and Systems Driven Far From Equilibrium, edited by E. Ma et al., MRS Symposia Proceedings Vol. 481 (Materials Research Society, Pittsburgh, 1998), pp. 39–44.
15. J. S. Langer, in Directions in Condensed Matter Physics, edited by G. Grinstein and G. Mazenko (World Scientific, Singapore, 1986), pp. 164–186.
16. A. A. Wheeler, W. J. Boettinger, and G. B. McFadden, Phys. Rev. A 45, 7424 (1992).
17. J. A. Warren and W. J. Boettinger, Acta Metall. Mater. 43, 689 (1995).
18. A. Karma and W.-J. Rappel, Phys. Rev. E 57, 4323 (1998).
19. W. Losert, D. A. Stillman, H. Z. Cummins, P. Kopczyński, W.-J. Rappel, and A. Karma, Phys. Rev. E 58, 7492 (1998).
20. A. Karma, Phys. Rev. E 49, 2245 (1994).
21. K. R. Elder, F. Drolet, J. M. Kosterlitz, and M. Grant, Phys. Rev. Lett. 72, 677 (1994).
22. A. A. Wheeler, G. B. McFadden, and W. J. Boettinger, Proc. R. Soc. London, Ser. A 452, 495 (1996).
23. J. Tiaden, B. Nestler, H. J. Diepers, and I. Steinbach, Physica D 115, 73 (1998).
24. T. S. Lo, Ph.D. thesis, Northeastern University, Boston, 1999.
25. J. A. Warren and J. S. Langer, Phys. Rev. E 47, 2702 (1993).
26. J. W. Christian, The Theory of Transformations in Metals and Alloys, 1st ed. (Pergamon Press, Oxford, 1965), p. 537.
27. G. Faivre and S. Akamatsu (unpublished).
28. C. Beckermann, H.-J. Diepers, I. Steinbach, A. Karma, and X. Tong, J. Comput. Phys. 154, 468 (1999).
29. X. Tong, C. Beckermann, and A. Karma, Phys. Rev. E 61, R49 (2000).