Diffusion on grain boundary networks: Percolation theory and effective medium approximations

Acta Materialia

Volumn 54, Issue 18, 2006, Pages 4709-4720

  Chen, Ying ^a   Schuh, Christopher A ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Effective medium theory; Grain boundary diffusion; Grain boundary engineering; Percolation

Indexed keywords

CRYSTALLOGRAPHY; DIFFUSION; GRAIN BOUNDARIES; PERCOLATION (SOLID STATE); TOPOLOGY;

CRYSTALLOGRAPHIC CORRELATIONS; EFFECTIVE MEDIUM THEORY; GRAIN BOUNDARY DIFFUSION; GRAIN BOUNDARY ENGINEERING; MACROSCOPIC DIFFUSIVITY;

POLYCRYSTALLINE MATERIALS;

EID: 33749025249     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2006.06.011     Document Type: Article

References (92)

1. Kaur I., and Wolfgang G. Fundamentals of grain and interphase boundary diffusion (1989), Ziegler Press, Stuttgart
2. Peterson N.L. J Vac Sci Technol A 4 (1986) 3066
3. Fernandez J.R., Monti A.M., and Pasianot R.C. Metall Mater Trans A 33 (2002) 791
4. Yang C.F., Sarkar G., and Fournelle R.A. Acta Metall 36 (1988) 1511
5. Manna I., Gust W., and Predel B. Scripta Metall Mater 24 (1990) 1635
6. King A.H. Int Mater Rev 32 (1987) 173
7. Suryanarayana C., and Korth G.E. Met Mater Korea 5 (1999) 121
8. Suryanarayana C., Yoo S.H., and Groza J.R. J Mater Sci Lett 20 (2001) 2179
9. Trattles J.T., Oneill A.G., and Mecrow B.C. J Appl Phys 75 (1994) 7799
10. Ghiti A., and Oneill A.G. J Appl Phys 81 (1997) 3064
11. Pfaendtner J.A., and McMahon Jr. C.J. Acta Mater 49 (2001) 3369
12. Coble R.L. J Appl Phys 34 (1963) 1679
13. Suryanarayana C., and Koch C.C. Hyperfine Interact 130 (2000) 5
14. Beke D, editor. J Metastable Nanostruct Mater 2004;19.
15. Kaur I. Handbook of grain and interphase boundary diffusion data (1989), Ziegler Press, Stuttgart
16. Li X.M., and Chou Y.T. Acta Mater 44 (1996) 3535
17. Li X.M., and Chou Y.T. Philos Mag A 73 (1996) 1303
18. Balandin I.L., and Bokshtein B.S. Phys Solid State 39 (1997) 1019
19. Budke E., Herzig C., Prokofjev S., and Shvindlerman L.S. Mater Sci Forum 207-209 (1996) 465
20. Monzen R., and Kuze T. J Jpn Inst Met 63 (1999) 1224
21. Monzen R., Takada Y., and Kita K. J Mater Sci Lett 17 (1998) 283
22. Schwarz S.M., Kempshall B.W., Giannuzzi L.A., and Stevie F.A. Acta Mater 50 (2002) 5079
23. Bernardini J., and Cabane J. Acta Metall 21 (1973) 1571
24. Suzuki A., and Mishin I.M. J Metastable Nanocryst Mater 19 (2004) 1
25. Rohrer G.S., Saylor D.M., El Dasher B., Adams B.L., Rollett A.D., and Wynblatt P. Z Metallkd 95 (2004) 197
26. Saylor D.M., El Dasher B.S., Rollett A.D., and Rohrer G.S. Acta Mater 52 (2004) 3649
27. Kim C.S., Hu Y., Rohrer G.S., and Randle V. Scripta Mater 52 (2005) 633
28. Harrison L.G. Trans Faraday Soc 57 (1961) 1191
29. Klinger L., and Rabkin E. Acta Mater 47 (1999) 725
30. Belova I.V., and Murch G.E. J Phys Chem Solids 64 (2003) 873
31. Fisher J.C. J Appl Phys 22 (1951) 74
32. Whipple R.T.P. Philos Mag 45 (1954) 1225
33. Levine H.S., and MacCallum C.J. J Appl Phys 31 (1960) 595
34. Suzuoka T. J Phys Soc Jpn 19 (1964) 839
35. Kondratev V.V., and Trachtenberg I.S. Phys Stat Sol B 171 (1992) 303
36. Klinger L., and Rabkin E. Interf Sci 6 (1998) 197
37. Divinski S.V., Geise J., Rabkin E., and Herzig C. Z Metallkd 95 (2004) 945
38. Rutter N.A., Glowacki B.A., and Evetts J.E. Supercond Sci Technol 13 (2000) L25
39. Watanabe T. Mater Sci Eng A 176 (1994) 39
40. Basinger J.A., Homer E.R., Fullwood D.T., and Adams B.L. Scripta Mater 53 (2005) 959
41. Schuh C.A., Kumar M., and King W.E. Acta Mater 51 (2003) 687
42. Minich R.W., Schuh C.A., and Kumar M. Phys Rev B (2002) 66
43. Frary M., and Schuh C.A. Acta Mater 53 (2005) 4323
44. Frary M., and Schuh C.A. Phys Rev B 69 (2004) 134115
45. Gertsman V.Y., and Szpunar J.A. Scripta Mater 38 (1998) 1399
46. Gertsman V.Y., Janecek M., and Tangri K. Phys Stat Sol A 157 (1996) 241
47. Gertsman V.Y., Janecek M., and Tangri K. Acta Mater 44 (1996) 2869
48. Gertsman V.Y., and Tangri K. Acta Mater 45 (1997) 4107
49. Sahimi M. Phys Rep 306 (1998) 213
50. Stauffer D., and Aharony A. Introduction to percolation theory (1992), Taylor & Francis, London
51. Schuh C.A., Minich R.W., and Kumar M. Philos Mag 83 (2003) 711
52. Miyazawa K., Ito K., and Ishida Y. Intergranular and interphase boundaries in materials, part 1 (1996), Transtec, Zurich-Uetikon 301
53. Gertsman V.Y., Zhilyaev A.P., Pshenichnyuk A.I., and Valiev R.Z. Acta Metall Mater 40 (1992) 1433
54. Zhilyaev A.P., Gertsman V.Y., Mishin O.V., Pshenichnyuk A.I., Aleksandrov I.V., and Valiev R.Z. Acta Metall Mater 41 (1993) 2657
55. Yonezawa F., Sakamoto S., and Hori M. Phys Rev B 40 (1989) 636
56. Li P.S., and Strieder W. J Phys C 15 (1982) L1235
57. Joy T., and Strieder W. J Phys C: Solid State Phys (1979) L279
58. Kirkpatrick S. Rev Mod Phys 45 (1973) 574
59. Hoshen J., and Kopelman R. Phys Rev B 14 (1976) 3438
60. Roux S., and Hansen A. J Phys A 20 (1987) L1281
61. Isichenko M.B. Rev Mod Phys 64 (1992) 961
62. Sahimi M. J Phys A (1984) L601
63. Straley J.P. Phys Rev B 15 (1977) 5733
64. Webman I., Jortner J., and Cohen M.H. Phys Rev B 16 (1977) 2593
65. Bunde A., and Havlin S. Fractals and disordered systems (1996), Springer, Berlin/New York (NY)
66. Bunde A., and Dieterich W. J Electroceram 5 (2000) 81
67. Clerc J.P., Giraud G., Laugier J.M., and Luck J.M. Adv Phys 39 (1990) 191
68. Sahimi M., Hughes B.D., Scriven L.E., and Davis H.T. J Phys C (1983) L521
69. Efros A.L., and Shklovskii B.I. Phys Stat Sol B 76 (1976) 475
70. Jonckheere T., and Luck J.M. J Phys A (1998) 3687
71. Straley J.P. Annals of the Israel physical society (1983), Israel Physical Society
72. Karkkainen K.K., Sihvola A.H., and Nikoskinen K.I. IEEE Trans Geosci Remote Sens 38 (2000) 1303
73. Hashin Z., and Shtrikman S. J Appl Phys 33 (1962) 3125
74. Choy T.C. Effective medium theory (1999), Clarendon Press, Oxford
75. Landauer R. J Appl Phys 23 (1952) 779
76. Kirkpatrick S. Phys Rev Lett 27 (1971) 1722
77. Koplik J. In: Dodds L.A. (Ed). Physics of granular media (1991), Nova, New York (NY) 215
78. Nagaya T., and Ishibashi Y. Jpn J Appl Phys 37 (1998) 157
79. David C., Gueguen Y., and Pampoukis G. J Geophys Res 95 (1990) 6993
80. McLachlan D.S. J Phys C 20 (1987) 865
81. McLachlan D.S. J Electroceram 5 (2000) 93
82. McLachlan D.S., Priou A., Chenerie I., Issac E., and Henry F. J Electromag Waves Applic 6 (1992) 1099
83. Landauer R. AIP Conf Proc 40 (1978) 2
84. Chiteme C., and McLachlan D.S. Phys Rev B (2003) 67
85. Wu J.J., and McLachlan D.S. Phys Rev B 56 (1997) 1236
86. Youngs I.J. J Phys D (2002) 3127
87. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical recipes in C: the art of scientific computing (1992), Cambridge University Press
88. Shante V.K.S., and Kirkpatrick S. Adv Phys 20 (1971) 325
89. Vyssotsky V.A., Gordon S.B., Frisch H.L., and Hammersley J.M. Phys Rev 123 (1961) 1566
90. Randle V. Mater Res Soc Symp Proc (2004) 819
91. McLachlan D.S. Jpn J Appl Phys 26 (1987) 901
92. Vrettos N.A., Imakoma H., and Okazaki M. J Appl Phys 66 (1989) 2873