Irreversible thermodynamics, parabolic law and self-similar state in grain growth

Acta Materialia

Volumn 52, Issue 1, 2004, Pages 249-256

  Rios, P R ^a  

^a FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

Author keywords

Grain growth; Irreversible thermodynamics; Thermodynamics

Indexed keywords

ENTROPY; FREE ENERGY; GRAIN BOUNDARIES; INTERFACIAL ENERGY; MATHEMATICAL MODELS; THERMODYNAMICS;

BOUNDARY MOBILITY; IRREVERSIBLE THERMODYNAMICS;

GRAIN GROWTH;

EID: 0344585323     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2003.09.010     Document Type: Article

References (42)

1. Gottstein G., Shvindlerman L.S. Grain boundary migration in metals. 1999;CRC Press, Boca Raton, FL.
2. von Neumann J. Metal Interfaces, ASM Seminar, ASM, Materials Park, OH; 1952. p. 65.
3. Mullins W.W. J. Appl. Phys. 27:1956;900.
4. Lifshitz I.M., Slyozov V.V. J. Phys. Chem Solids USSR. 19:1961;315.
5. Wagner C. Z. Elektrochem. 65:1961;581.
6. Hillert M. Acta Metall. 13:1965;227.
7. Rios P.R. Scripta Mater. 40:1999;665.
8. Rios P.R. Scripta Mater. 41:1999;1283.
9. Rios P.R. Scripta Mater. 42:2000;349.
10. Lücke K, Brandt R, Abbruzzese G. A rigorous statistical theory of 2D grain growth, Part I. unpublished research.
11. Lücke K, Brandt R, Abbruzzese G. A rigorous statistical theory of 2D grain growth, Part II. unpublished research.
12. Anderson M.P., Srolovitz D.J., Grest G.S., Sahni P.S. Acta Metall. 32:1984;783.
13. Anderson M.P., Grest G.S., Srolovitz D.J. Philos. Mag. B. 59:1989;293.
14. Frost H.J., Thompson C.V., Howe C.L., Whang J. Scripta Metall. 22:1988;65.
15. Nagai T., Ohta S., Kawasaki K. Mater. Sci. Forum. 94-96:1992;313.
16. Saito Y., Enomoto M. ISIJ Int. 32:1992;267.
17. Fradkov V.E., Udler D.G. Adv. Phys. 43:1994;739.
18. Radhakrishnan B., Zacharia T. Metall. Mater. Trans. A. 26:1995;167.
19. Marthinsen K., Hunderi O., Ryum N. Acta Mater. 44:1996;1681.
20. Gill S.P.A., Cocks A.C.F. Acta Mater. 44:1996;4777.
21. Fan D., Geng C., Chen L.Q. Acta Mater. 45:1997;611.
22. Fan D., Chen L.Q. Acta Mater. 45:1997;1115.
23. Weygand D., Bréchet Y., Néda Z. Philos. Mag. B. 75:1997;937.
24. Weygand D., Bréchet Y., Lépinoux J. Philos. Mag. B. 78:1998;329.
25. Tikare V., Holm E.A., Fan D., Chen L.Q. Acta Mater. 47:1999;363.
26. Fayad W., Thompson C.V., Frost H.J. Scripta Mater. 40:1999;1199.
27. Wakai F., Enomoto N., Ogawa H. Acta Mater. 48:2000;1297.
28. Holm E.A., Battaile C. JOM. 53(9):2001;20.
29. Krill III C.E., Chen L.Q. Acta Mater. 50:2002;3057.
30. Nordbakke M.W., Ryum N., Hunderi O. Acta Mater. 50:2002;3661.
31. Rios P.R., Gottstein G., Shvindlerman L.S. Scripta Mater. 44:2001;893.
32. Rios P.R., Gottstein G., Shvindlerman L.S. Mater. Sci. Eng. A. 332:2002;202.
33. Prigogine I. Introduction to thermodynamics of irreversible processes. 2nd ed. 1961;Wiley, New York.
34. Machlin E.S. Trans. AIME. 197:1953;437.
35. Cahn J.W., Hagel W. Zackay Z.D., Aaronson H.I. Decomposition of austenite by diffusional processes. 1960;131 Interscience Publishers, New York.
36. Rios P.R. Scripta Mater. 34:1996;1185.
37. Thorvaldsen A. Acta Mater. 45:1997;587.
38. Burke J.E. Trans. Am. Inst. Min. Eng. 180:1949;73.
39. Weaire D., Rivier N. Contemp. Phys. 25:1984;59.
40. Glazier J.A., Weaire D. J. Phys: Condens. Matter. 4:1992;1867.
41. Rios P.R., Lücke K. Scripta Mater. 44:2001;2471.
42. Fayad W., Thompson C.V., Frost H.J. Scripta Mater. 40:1999;1199.