Solute trapping and solute drag in a phase-field model of rapid solidification

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

Volumn 58, Issue 3, 1998, Pages 3436-3450

  Ahmad, N A ^a   Wheeler, A A ^a   Boettinger, W J ^b   McFadden, G B ^b  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY ALLOYS; DIFFUSION; ENERGY DISSIPATION; INTERFACES (MATERIALS); MATHEMATICAL MODELS; NUMERICAL METHODS; PHASE COMPOSITION; THERMODYNAMIC STABILITY;

PHASE FIELD MODEL; SOLUTE DRAG; SOLUTE TRAPPING;

RAPID SOLIDIFICATION;

EID: 0032160945     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.3436     Document Type: Article

References (60)

1. M. J. Aziz, J. Appl. Phys. 53, 1158 (1982).JAPIAU
2. M. J. Aziz, Appl. Phys. Lett. 43, 552 (1983).APPLAB
3. M. J. Aziz and T. Kaplan, Acta Metall. 36, 2335 (1988).AMETAR
4. R. N. Hall, J. Phys. Chem. 57, 836 (1953).JPCHAX
5. A. A. Chernov, in Growth of Crystals, edited by A. V. Shubnikov and N. N. Sheftal) (Consultants Bureau, New York, 1962), Vol. 3, p. 35.
6. J. C. Brice, The Growth of Crystals from the Melt (North-Holland, Amsterdam, 1965), p. 65.
7. R. F. Wood, Appl. Phys. Lett. 37, 302 (1980).APPLAB
8. K. A. Jackson, in Surface Modification and Alloying by Laser, Ion and Electron Beams, edited by J. M. Poate, G. Foti, and D. C. Jacobson) (Plenum, New York, 1983), p. 51.
9. G. H. Gilmer, Mater. Res. Soc. Symp. Proc.13, 249 (1983).MRSPDH
10. J. W. Cahn and S. M. Allen, J. Phys. (Paris), Colloq. 7, C7-51 (1977).JPQCAK
11. S. M. Allen and J. W. Cahn, Acta Metall. 27, 1085 (1979).AMETAR
12. J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 28, 28 (1958).JCPSA6
13. J. C. Baker, Ph.D. thesis, MIT, 1970 (unpublished), Chap. V.
14. J. C. Baker and J. W. Cahn, Solidification (ASM, Metals Park, OH, 1971), pp. 23–58.
15. J. W. Cahn, S. R. Coriell, and W. J. Boettinger, in Laser and Electron Beam Processing of Materials, edited by C. W. White and P. S. Peercy (Academic, New York, 1980), p. 89.
16. M. Hillert and B. Sundman, Acta Metall. 24, 731 (1976).AMETAR
17. J. W. Cahn, Acta Metall. 10, 789 (1962).AMETAR
18. J. S. Langer, in Directions in Condensed Matter Physics, edited by G. Grinstein and G. Mazenko (World Scientific, Philadelphia, 1986), p. 165.
19. G. Caginalp, in Applications of Field Theory to Statistical Mechanics, edited by L. Garrido, Lecture Notes in Physics Vol. 216 (Springer-Verlag, Berlin, 1985), p. 216.
20. J. B. Collins and H. Levine, Phys. Rev. B 31, 6119 (1985).PRBMDO
21. R. Kobayashi, Physica D 63, 410 (1993).PDNPDT
22. R. Kobayashi, Experimental Math3, 60 (1994).ZZZZZZ
23. A. A. Wheeler, B. T. Murray, and R. J. Schaefer, Physica D 66, 243 (1993).PDNPDT
24. A. Karma and W. J. Rappel, Phys. Rev. E 53, R3017 (1996).PLEEE8
25. A. Karma and W. J. Rappel, Phys. Rev. Lett. 77, 4050 (1996).PRLTAO
26. S.-L. Wang and R. F. Sekerka, Phys. Rev. E 53, 3760 (1996).PLEEE8
27. S.-L. Wang and R. F. Sekerka, J. Comput. Phys. 127, 110 (1996).JCTPAH
28. J. S. Langer and R. F. Sekerka, Acta Metall. 23, 1225 (1975).AMETAR
29. A. A. Wheeler, W. J. Boettinger, and G. B. McFadden, Phys. Rev. A 45, 7424 (1992).PLRAAN
30. H. Löwen, J. Bechhoefer, and L. S. Tuckerman, Phys. Rev. A 45, 2399 (1992).PLRAAN
31. G. Caginalp and W. Xie, Phys. Rev. E 48, 1897 (1993).PLEEE8
32. T. Lin and R. C. Rogers, Comput. Mater. Sci. 4, 159 (1995).CMMSEM
33. E. Fried and M. E. Gurtin, Physica D 68, 326 (1993).PDNPDT
34. E. Fried and M. E. Gurtin, Physica D 72, 287 (1994).PDNPDT
35. M. E. Gurtin, Arch. Ration. Mech. Anal. 131, 67 (1995).AVRMAW
36. J. Warren and W. J. Boettinger, Acta Metall. Mater. 43, 689 (1995).AMATEB
37. A. A. Wheeler, G. B. McFadden, and W. J. Boettinger, Proc. R. Soc. London, Ser. A 452, 495 (1996).PRLAAZ
38. A. Karma, Phys. Rev. E 49, 2245 (1994).PLEEE8
39. K. R. Elder, Francois Drolet, J. M. Kosterlitz, and Martin Grant, Phys. Rev. Lett. 72, 677 (1994).PRLTAO
40. K. R. Elder, J. D. Gunton, and Martin Grant, Phys. Rev. E 54, 6476 (1996).PLEEE8
41. I. Steinbach, F. Pezzolla, B. Nestler, M. Sesselberg, R. Prieler, G. J. Schmitz, and J. L. L. Rezenda, Physica D 94, 135 (1996).PDNPDT
42. A. A. Wheeler, W. J. Boettinger, and G. B. McFadden, Phys. Rev. E 47, 1893 (1993).PLEEE8
43. A. A. Wheeler, N. A. Ahmad, W. J. Boettinger, R. J. Braun, G. B. McFadden, and B. T. Murray, Adv. Space Res. 16, 163 (1995).ASRSDW
44. N. A. Ahmad, Ph.D. thesis, University of Southampton, 1997 (unpublished).
45. P. M. Smith and M. J. Aziz, Acta Metall. Mater. 42, 3515 (1994).AMATEB
46. M. Conti, Phys. Rev. E 55, 701 (1997).PLEEE8
47. M. Conti, Phys. Rev. E 55, 765 (1997).PLEEE8
48. P. C. Fife and C. Charach (unpublished).
49. M. Plapp and J. F. Gouyet, Phys. Rev. E 55, 5321 (1997).PLEEE8
50. M. Conti (unpublished).
51. S. G. Kim, W. T. Kim, and T. Suzuki (unpublished).
52. T. Kaplan, M. J. Aziz, and L. J. Gray, J. Chem. Phys. 90, 1133 (1989).JCPSA6
53. W. J. Boettinger and M. J. Aziz, Acta Metall. 37, 3379 (1989).AMETAR
54. M. J. Aziz and W. J. Boettinger, Acta Metall. Mater. 42, 527 (1994).AMATEB
55. B. Jönsson and J. Ågren, J. Less-Common Metals 145, 153 (1988).JCOMAH
56. M. E. Gurtin and P. W. Voorhees, Acta Mater. 44, 235 (1996).ACMAFD
57. Z.-K. Liu, in Solid-Solid Phase Transformations, edited by W. C. Johnson, J. M. Howe, D. E. Laughlin, and W. A. Soffa (The Minerals, Metals, and Materials Society, Warrendale, PA, 1994), p. 219.
58. M. J. Aziz, Metall. Mater. Trans. A 27, 671 (1996).MMTAEB
59. E. Montroll, in Statistical Mechanics, edited by S. Rice, K. Freed, and J. Light (University of Chicago Press, Chicago, 1972).
60. S.-L. Wang, R. F. Sekerka, A. A. Wheeler, B. T. Murray, S. R. Coriell, R. J. Braun, and G. B. McFadden, Physica D 69, 189 (1993).