Stochastic analysis of two-dimensional grain growth

Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties

Volumn 81, Issue 5, 2001, Pages 1229-1239

  Pande, C S ^a   Masumura, R A ^a   Marsh, S R ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GRAIN SIZE AND SHAPE; LINEAR EQUATIONS; RANDOM PROCESSES; TOPOLOGY;

STOCHASTIC ANALYSIS;

GRAIN GROWTH;

EID: 0035353593     PISSN: 01418610     EISSN: None     Source Type: Journal    
DOI: 10.1080/01418610108214438     Document Type: Article

References (31)

1. Abbruzzese, G., Heckelmann, I., and Lücke, K., 1992, Ada metall., 40, 519.
2. Atkinson, H. V., 1988, Ada metall., 36, 469.
3. Battaile, C. C., and Holm, E. A., 1998, Grain Growth in Polycrystalline Materials III (Warrendale, Pennsylvania: Metallurgical Society of AIME), p. 119.
4. Ewing, J. A., and Rosenhain, W., 1900, Phil. Trans. R. Soc. A, 193, 353.
5. Fan, D., Geng, C., and Chen, L. Q., 1997, Acta mater., 45, 1115.
6. Fradkov, V. E., Kravchenko, A. S., and Shvindlerman, L. S., 1985, Scripta metall., 19, 1291.
7. Fradkov, V. E., Udler, D. G., and Kris, R. E., 1988, Phil. Mag. Lett., 58, 277.
8. Hillert, M., 1965, Acta metall., 13, 227.
9. FIunderi, S. K., and Ryum, N., 1980, J. Mater. Sci., 15, 1104.
10. Kurtz, S. K., and Carpay, F. M. A., 1980, J. appl. Phys., 51, 5725.
11. Lifshitz, I. M., and Slyozov, V. V., 1961, J. Phys. Chem. Solids, 19, 35.
12. Louat, N. P., 1974, Acta metall., 22, 721.
13. Marsh, S. P., and Glicksman, M. E., 1999, Solidification 1999 (Warrendale, Pennsylvania: Metallurgical Society of AIME), p. 229.
14. Mullins, W. W., 1956, J. appl. Phys., 27, 900
15. Mullins, W. W., 1998, Acta metall., 46, 6219.
16. Nayfeh, A. H., 1985, Problems in Perturbation (New York: Wiley), p. 454.
17. Palmer, M. A., Glicksman, M. E., and Rajan, K., 1998, Solidification 1998 (Warrendale, Pennsylvania: Metallurgical Society of AIME), p. 51.
18. Palmer, M. A., Fradkov, V. E., Glicksman, M. E., Rajan, K., and Nordberg, J., 1995, Metall. Mater. Trans. A, 26, 1061.
19. Pande, C. S., 1987, Acta metall., 35, 2671.
20. Pande, C. S., and Dantsker, E., 1990, Acta metall., 38, 945
21. Pande, C. S., and Dantsker, E., 1991, Acta metall., 39, 1359
22. Pande, C. S., and Dantsker, E., 1994, Acta metall., 42, 2899.
23. Pande, C. S., and Marsh, S. P., 1992, J. Metals, 44, 25.
24. Rivier, N., and Lissowski, A., 1982, J. Phys. A, 15, L143.
25. Saetre, T. O., Hunderi, O., and Ryum, N., 1989, Acta metall., 37, 1381.
26. Srolovitz, D. J., Anderson, M. P., Sahni, P. S., and Gresdt, G. S., 1984, Acta metall., 32, 793.
27. Van Kampen, N. G., 1981, Stochastic Processes in Physics and Chemistry (Amsterdam: North-FIolland).
28. Von Neumann, J., 1952, Metal Interfaces (Cleveland, Ohio: American Society for Metals), p. 108.
29. Wagner, C., 1961, Z. Electrochem., 65, 581.
30. Weaire, D., and Kermode, J. P., 1983, Phil. Mag. B, 48, 245.
31. Zwillinger, D., 1989, Handbook of Differential Equations (Boston, Massachusetts: Academic Press), p. 504.