Three-dimensional simulations of Ostwald ripening with elastic effects

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

Volumn 58, Issue 4, 1998, Pages R4092-R4095

  Sagui, Celeste ^a   Orlikowski, Daniel ^a   Somoza, Andrés M ^b   Roland, Christopher ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF MURCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013447425     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.R4092     Document Type: Article

References (51)

1. I. M. Lifshitz and V. V. Slyozov, J. Chem. Solids 19, 35 (1961)
2. C. Wagner, Z. Elektrochem. 65, 581 (1961).
3. A. G. Khatchaturyan, Theory of Structural Transformations in Solids (Wiley, New York, 1983).
4. A. J. Ardell, R. B. Nicholson, and J. D. Eshelby, Acta Metall. 14, 1295 (1966)
5. A. Maheshwari and A. J. Ardell, Scr. Metall. Mater. 26, 347 (1992)
6. A. MaheshwariA. J. ArdellPhys. Rev. Lett. 70, 2305 (1993)
7. M. Meshkimpour and A. J. Ardell, Mater. Sci. Eng., A 185, 153 (1994)
8. J. Wimmel and A. J. Ardell, Mater. Sci. Eng., A 183, 169 (1994)
9. A. B. Kamora, A. J. Ardell, and C. N. Wagner, Metall. Mater. Trans. A 27A, 2888 (1996)
10. J.-H. Cho and A. J. Ardell, Acta Mater. 45, 1399 (1997).
11. O. Paris, M. Faehrmann, and P. Fratzl, Phys. Rev. Lett. 75, 3458 (1995).
12. T. Miyasaki, K. Nakamara, and H. Mori, J. Mater. Sci. 14, 1927 (1979)
13. W. Hein, Acta Metall. 37, 2145 (1989).
14. H. Calderon and G. Kostorz, Mater. Res. Soc. Symp. Proc. 166, 210 (1990)
15. H. A. Calderon, G. Kostorz, Y. Y. Qu, H. J. Dorontes, J. J. Cruz, and J. G. Cobanas-Moreno, Mater. Sci. Eng., A 238, 13 (1997).
16. A. Ges, O. Fornaro, and H. Palacio, J. Mater. Sci.32, 3689 (1997).
17. P. Fratzl, F. Langmayr, G. Vogl, and W. Miekeley, Acta Metall. Mater. 39, 753 (1991)
18. F. Langmayr, P. Fratzl, G. Vogl, and W. Miekeley, Phys. Rev. B 49, 11 759 (1994).
19. J. D. Eshelby, Prog. Solid. Mech. 2, 89 (1961)
20. J. K. Lee, D. M. Barnett and H. I. Aaronson, Metall. Trans. A 8, 963 (1977)
21. W. C. Johnson and J. W. Cahn, Acta Metall. 23, 1839 (1984)
22. W. C. Johnson and P. W. Voorhees, J. Appl. Phys. 61, 1610 (1987)
23. I. M. Kaganov and A. L. Roitburd, Zh. Eksp. Teor. Fiz.94, 156 (1988) [Sov. Phys. JETP 67, 1173 (1988)]
24. A. G. Khatchaturyan, S. V. Semenovskaya, and J. W. Morris, Acta Metall. 36, 1563 (1988)
25. W. C. Johnson, M. B. Berkenpas, and D. E. Laughlin, Acta Metall. 36, 3149 (1988)
26. K. Kawasaki and Y. Enomoto, Physica A 150, 463 (1988)
27. Y. Enomoto and K. Kawasaki, Acta Metall. 37, 1349 (1989)
28. T. Miyazaki and M. Doi, Mater. Sci. Eng., A 110, 175 (1989).
29. A. Onuki, J. Phys. Soc. Jpn. 58, 3065 (1989)
30. A. J. Phys. Soc. Jpn. Onuki58, 3069 (1989)
31. H. Nishimori and A. Onuki, Phys. Rev. B 42, 980 (1990)
32. H. NishimoriA. OnukiJ. Phys. Soc. Jpn. 60, 1208 (1991)
33. A. Onuki and H. Nishimori, J. Phys. Soc. Jpn. 60, 1 (1991)
34. A. OnukiH. NishimoriPhys. Rev. B 43, 13 649 (1991).
35. M. E. Thompson, C. S. Su, and P. W. Voorhees, Acta Metall. Mater. 42, 2107 (1994).
36. J. Gayda and D. J. Srolowitz, Acta Metall. 37, 641 (1989)
37. J. K. Lee, Scr. Metall. Mater. 32, 559 (1995)
38. P. Fratzl and O. Penrose, Acta Metall. Mater. 43, 2921 (1995)
39. C. A. Laberge, P. Fratzl, and J. Lebowitz, Phys. Rev. Lett. 75, 4448 (1995).
40. Y. Wang, L.-Q. Chen, and A. G. Khatchaturyan, Scr. Metall. Mater. 25, 1387 (1991)
41. Y. WangL.-Q. ChenA. G. Scr. Metall. Mater. Khatchaturyan25, 1969 (1991)
42. Y. WangL.-Q. ChenA. G. KhatchaturyanActa Metall. Mater. 41, 279 (1993).
43. C. Sagui, A. M. Somoza, and R. C. Desai, Phys. Rev. E 50, 4865 (1994).
44. P. W. Voorhees, G. B. McFadden, and W. C. Johnson, Acta Metall. Mater. 40, 2979 (1992)
45. C. H. Su and P. W. Voorhees, Acta Mater. 44, 1987 (1996)
46. C. H. SuP. W. Acta Mater. Voorhees44, 2001 (1996).
47. J. W. Cahn, Acta Metall. 9, 795 (1961)
48. J. W. Acta Metall. Cahn10, 179 (1962).
49. Note that Ref. 10 only treats the special case g1=g2.
50. This resolves a contradiction between previous theories and experiments. For example, Ref. 10 predicts that formed precipitates will always be elastically hard. Here we see that competition between different elastic energy terms can lead to the formation of soft precipitates with respect to one of the shear moduli, in agreement with experimental observations.
51. D. Orlikowski, C. Sagui, A. M. Somoza, and C. Roland (unpublished).