Multicomponent alloy solidification: Phase-field modeling and simulations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 4, 2005, Pages

  Nestler, Britta ^a   Garcke, Harald ^b   Stinner, Björn ^b  

^a KARLSRUHE UNIVERSITY OF APPLIED SCIENCES   (Germany)

^b UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MICROSTRUCTURE EVOLUTION; MULTICOMPOSNENT DIFFUSION; MULTIPHASE ALLOY SYSTEM; PHASE-FIELD MODELING;

ANISOTROPY; COMPUTER SIMULATION; FREE ENERGY; GRAIN GROWTH; KINETIC THEORY; MICROSTRUCTURE; PHASE TRANSITIONS; POLYCRYSTALLINE MATERIALS; SOLIDIFICATION; TEXTURES; THERMODYNAMICS;

ALLOYS;

EID: 45849155256     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.041609     Document Type: Article

References (38)

1. I. Steinbach et al., Physica D 94, 135 (1996).
2. H. Garcke, B. Nestler, and B. Stoth, SIAM J. Appl. Math. 60, 295 (1999).
3. A. A. Wheeler, G. B. McFadden, and W. J. Boettinger, Proc. R. Soc. London, Ser. A 452, 495 (1996).
4. J. Tiaden, B. Nester, H. J. Diepers, and I. Steinbach, Physica D 115, 73 (1998).
5. Zh. Bi, and R. F. Sekerka, Physica D 261, 95 (1998).
6. R. Kobayashi, J. A. Warren, and W. C. Carter, Physica D 140, 141 (2000).
7. M. Plapp and A. Karma, Phys. Rev. Lett. 84, 1740 (2000); Phys. Rev. E 66, 061608 (2002).
8. M. Plapp and A. Karma, Phys. Rev. Lett. 84, 1740 (2000); Phys. Rev. E 66, 061608 (2002).
9. B. Nestler and A. A. Wheeler, Phys. Rev. E 57, 2602 (1998); Physica D 138, 114 (2000).
10. B. Nestler and A. A. Wheeler, Phys. Rev. E 57, 2602 (1998); Physica D 138, 114 (2000).
11. J.-H. Jeong, N. Goldenfeld, and J. A. Dantzig, Phys. Rev. E 64, 041602 (2001).
12. M. Sabouri-Ghomi, N. Provatas, and M. Grant, Phys. Rev. Lett. 86, 5084 (2001).
13. W. J. Boettinger, J. A. Warren, C. Beckermann, and A. Karma, Annu. Rev. Mater. Res. 32, 163 (2002).
14. L. Granasy, T. Borzsonyi, and T. Pusztai, Phys. Rev. Lett. 88, 206105 (2002); J. Cryst. Growth 237-239, 1813 (2002).
15. L. Granasy, T. Borzsonyi, and T. Pusztai, Phys. Rev. Lett. 88, 206105 (2002); J. Cryst. Growth 237-239, 1813 (2002).
16. M. Apel, B. Boettger, H.-J. Diepers, and I. Steinbach, J. Cryst. Growth 237-239, 154 (2002).
17. H. Kobayashi, M. Ode, S. G. Kim, W. T. Kim, and T. Suzuki, Scr. Mater. 48, 689 (2003).
18. J. C. Ramirez, C. Beckermann, A. Karma, and H.-J. Diepers, Phys. Rev. E 69, 051607 (2004).
19. G. Caginalp, Phys. Rev. A 39, 5887 (1989).
20. H. Garcke, B. Nestler, and B. Stoth, Physica D 115, 87 (1998).
21. O. Penrose and P. C. Fife, Physica D 43, 44 (1990).
22. S.-L. Wang et al., Physica D 69, 189 (1993).
23. H. Garcke, B. Nestler, and B. Stinner, SIAM J. Appl. Math. 64, 775 (2004).
24. A. Ahmad, A. A. Wheeler, W. J. Boettinger, and G. B. McFadden, Phys. Rev. E 58, 3436 (1998).
25. P. Galenko, Phys. Lett. A 287, 190 (2001).
26. A. Karma and W.-J. Rappel, Phys. Rev. E 53, R3017 (1996); 57, 4323 (1998).
27. A. Karma and W.-J. Rappel, Phys. Rev. E 53, R3017 (1996); 57, 4323 (1998).
28. R. F. Almgren, SIAM J. Appl. Math. 59, 2086 (1999).
29. S. G. Kim, W. T. Kim, and T. Suzuki, Phys. Rev. E 60, 7186 (1999).
30. G. B. McFadden, A. A. Wheeler, and D. M. Anderson, Physica D 154, 144 (2000).
31. A. Karma, Phys. Rev. Lett. 87, 115701 (2001).
32. A. A. Wheeler, W. J. Boettinger, and G. B. McFadden, Phys. Rev. A 45, 7424 (1992).
33. H. Garcke, R. Haas, and B. Stinner (unpublished).
34. R. Folch and M. Plapp, Phys. Rev. E 68, 010602 (2003).
35. S. G. Kim, W. T. Kim, T. Suzuki, and M. Ode, J. Cryst. Growth 261, 135 (2004).
36. I. Steinbach and F. Pezzolla, Physica D 134, 385 (1999).
37. C. T. Rios, S. Milenkovic, and R. Caram, Scr. Mater. 48, 1495 (2003).
38. S. Akamatsu and G. Faivre, Phys. Rev. E 61, 3757 (1999).