A diffuse interface model for microstructural evolution in elastically stressed solids

Acta Materialia

Volumn 46, Issue 6, 1998, Pages 2113-2130

  Leo, P H ^a   Lowengrub, J S ^b   Jou, H J ^c  

^a University of Minnesota   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

^c Department of Geology and Geological Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELASTICITY; FREE ENERGY; MATHEMATICAL MODELS; METALLOGRAPHIC MICROSTRUCTURE; PHASE INTERFACES; PRECIPITATION (CHEMICAL); STRESS ANALYSIS;

CAHN-HILLIARD FREE ENERGY; DIFFUSE INTERFACE (DI) MODEL; ELASTICALLY STRESSED SOLIDS;

BINARY ALLOYS;

EID: 0032010562     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-6454(97)00377-7     Document Type: Article

References (40)

1. Ardell, A. J. and Nicholson, R. B., Acta metall., 1966, 14, 1295.
2. Miyazaki, T., Hakamura, K. and Mori, H., J. Mater. Sci., 1979, 14, 1827.
3. Imamura, H., Miyazaki, T. and Kozakai, T., Mater. Sci. Eng., 1982, 54, 9.
4. Maheshwari, A. and Ardell, A. J., Phys. Rev. Lett., 1993, 70, 2305.
5. Yoo, Y. S., Yoon, D. Y. and Henry, M. F., Metals Mat., 1995, 1, 47.
6. Cahn, J. W. and Hilliard, J. E., J. Chem. Phys., 1958, 28, 258.
7. Cahn, J. W., Acta metall., 1961, 9, 795.
8. Gurtin, M. E., Physica D, 1996, 92, 178.
9. Johnson, W. C., Metall. Trans., 1987, 18A, 233.
10. Johnson, W. C., Voorhees, P. W. and Zupon, D. E., Metall. Trans., 1989, 20A, 1175.
11. Johnson, W. C., Abinandanan, T. A. and Voorhees, P. W., Acta metall., 1990, 38, 1349.
12. Jou, H.-J., Leo, P. H. and Lowengrub, J. S., J. Comp. Phys., 1997, 131, 109.
13. Socrate, S. and Parks, D. M., Acta metall., 1993, 41, 2185.
14. Thompson, M. E., Su, C. S. and Voorhees, P. W., Acta metall., 1994, 42, 2107.
15. Su, C. H. and Voorhees, P. W., Acta mater., 1996, 44, 1987.
16. Su, C. H. and Voorhees, P. W., Acta mater., 1996, 44, 2001.
17. Voorhees, P. W., Boisvert, R. F., McFadden, G. B. and Meiron, D. I., Acta metall., 1988, 36, 207.
18. Voorhees, P. W., McFadden, G. B. and Johnson, W. C., Acta metall., 1992, 40, 2979.
19. Khachaturyan, A. G., Semenovskaya, S. V. and Morris, J. W. Jr, Acta metall., 1988, 36, 1563.
20. McCormack, M., Khatchaturyan, A. G. and Morris, J. W. Jr, Acta metall., 1992, 40, 325.
21. Wang, Y., Chen, L. Q. and Khachaturyan, A. G., Acta metall., 1993, 41, 279.
22. Wang, Y. and Khachaturyan, A. G., Acta metall., 1995, 43, 1837.
23. Lee, J. K., Scr. Met., 1995, 32, 559.
24. Lee, J. K., Metall. Trans. A, 1996, 27, 1449.
25. Eshelby, J. D., J. Elast., 1975, 5, 321.
26. Eshelby, J. D., in Progress in Solid Mechanics, 2 edn, ed. I. N. Sneddon and R. Hill. North-Holland, Amsterdam, 1961, p. 89.
27. Fried, E. and Gurtin, M. E., Physica D, 1994, 72, 287.
28. Fried, E. and Grach, G., Arch. Rat. Mech., to appear.
29. Thompson, M. E. and Voorhees, P. W., preprint.
30. Gurtin, M. E. and McFadden, G. B., in IMA Series in Mathematics and its Applications, Vol. 43. Springer-Verlag, New York, 1992.
31. Pego, R., Proc. R. Soc. London A, 1989, 422, 261.
32. Penrose, O. and Fife, P. C., Physica D, 1990, 43, 44.
33. McFadden, G. B., Wheeler, A. A., Braun, R. J., Coriell, S. R. and Sekerka, R. F., Phys. Rev. E, 1993, 48, 2016.
34. Leo, P. H., Lowengrub, J. S. and Jou, H.-J., Minnesota Supercomputer Institute, preprint.
35. Stoer, J. and Burlisch, R., Introduction to numerical analysis, Springer Verlag, New York, 1979.
36. Johnson, W. C. and Cahn, J. W., Acta metall., 1984, 32, 1925.
37. Lee, J. K., in Superalloys 1996, ed. R. D. Kissinger, D. J. Deye, D. L. Anton, A. D. Cetel, M. V. Nathal, T. M. Pollock and D. A. Woodford. The Minerals, Metals and Materials Society, 1996.
38. Laszlo, F., J. Iron Steel Inst., 1945, 2, 207.
39. Aaronson, H. I., Barnett, D. M., Lee, J. K. and Russell, K. C., Scr. metall., 1974, 8, 1447.
40. Christensen, R. M., Mechanics of Composite Materials, Wiley, New York, 1979.