The hall-petch relationship in nanocrystalline materials

Materials Transactions, JIM

Volumn 38, Issue 12, 1997, Pages 1033-1039

  Liu, X D ^a   Nagumo, M ^a   Umemoto, M ^b  

^a WASEDA UNIVERSITY   (Japan)

^b TOYOHASHI UNIVERSITY OF TECHNOLOGY   (Japan)

Author keywords

Amorphous; Crystallization; Hall Petch relation; Lattice parameter; Microhardness; Nanocrystalline materials; Positron annihilation

Indexed keywords

AMORPHOUS MATERIALS; CRYSTAL LATTICES; CRYSTAL MICROSTRUCTURE; CRYSTALLIZATION; GRAIN SIZE AND SHAPE; HARDNESS; SPECTROSCOPIC ANALYSIS; X RAY CRYSTALLOGRAPHY;

HALL PETCH RELATION; POSITRON ANNIHILATION SPECTROSCOPY;

NANOSTRUCTURED MATERIALS;

EID: 0031346851     PISSN: 09161821     EISSN: None     Source Type: Journal    
DOI: 10.2320/matertrans1989.38.1033     Document Type: Review

References (47)

1. H. Gleiter: Prog. Mater. Sci., 33 (1989), 223.
2. H. J. Fecht, E. Hellstern, Z. Fu and W. L. Johnson: Metall. Trans., A21 (1990), 2333.
3. R. Z. Valiev, A. V. Korznikov and R. R. Mulyukov: Mater. Sci. Eng., A168 (1993), 141.
4. Y. Yoshizawa, S. Oguma and K. Yamauchi: J. Appl. Phys., 64 (1988), 6044.
5. X. D. Liu, F. Q. Guo, K. Lu and M. Umemoto: J. Mater. Res., 12 (1997), 681.
6. M. L. Trudeau, R. Schulz, D. Dussault and A. Van Neste: Phys. Rev. Lett., 64 (1990), 99.
7. G. W. Nieman, J. R. Weertman and R. W. Siegel: J. Mater. Res., 6 (1991), 1012.
8. H. Y. Tong, J. T. Wang, B. Z. Ding, H. G. Jiang and K. Lu: J. Non-Cryst. Solids, 150 (1992), 444.
9. X. D. Liu, J. T. Wang and B. Z. Ding: Scripta Metall. Mater., 28 (1993), 59.
10. K. Lu, W. D. Wei and J. T. Wang: Scripta Metall. Mater., 24 (1990), 2319.
11. C. C. Koch and Y. S. Cho: Nanostructured Mater., 1 (1992), 207.
12. X. D. Liu, B. Z. Ding, Z. Q. Hu, K. Lu and Y. Z. Wang: Physica B, 192 (1993), 345.
13. A. H. Chokshi, A. Rosen, J. Karch and H. Gleiter: Scripta Metall. Mater., 23 (1989), 1679.
14. J. S. C. Jang and C. C. Koch: Scripta Metall. Mater., 24 (1990), 1599.
15. H. Y. Zhang, Z. Q. Hu and K. Lu: J. Appl. Phys., 77 (1995), 2811.
16. P. Le Brum, E. Gaffet, L. Frogen and L. Delaey: Scripta Metall. Mater., 26 (1992), 1743.
17. G. D. Hughes, S. D. Smith, C. S. Pande, H. R. Johnson and R. W. Armstrong: Scripta Metall. Mater., 20 (1986), 93.
18. H. Chang, C. J. Altstetter and R. S. Averback: J. Mater. Res., 7 (1992), 2962.
19. X. D. Liu, F. H. Yuan, K. Lu and W. D. Wei: J. Mater. Sci. Tech., 12 (1996), 409;
20. X. D. Liu, M. Umemoto, W. Deng, L. Y. Xiong and D. H. Ping: J. Appl. Phys., 81 (1997), 1103.
21. E. O. Hall: Proc. Phys. Soc. London, B6-4 (1951), 747.
22. N. J. Petch: J. Iron Steel Inst., 174 (1953), 25.
23. T. G. Nieh and J. Wadsworth: Scripta Metall. Mater., 25 (1991), 955.
24. N. Wang, Z. Wang, K. T. Aust and U. Erb: Acta Metall. Mater., 43 (1995), 519.
25. J. D. Eshelby, F. C. Frank and F. R. N. Nabarro: Phil. Mag., 42 (1951), 351.
26. D. Tabor: J. Inst. Met., 79 (1951), 1.
27. K. Farrell and B. T. M. Lon: JTISI, 1 (1971), 915.
28. E. Ryshkewitch: J. Am. Ceram. Soc., 36 (1953), 65.
29. W. Duckworth: J. Am. Ceram. Soc., 36 (1953), 68.
30. F. R. Knudsen: J. Am. Ceram. Soc., 36 (1953), 68.
31. R. W. Rice: Mater. Sci. Eng., 73 (1985), 215.
32. X. D. Liu, K. Lu, B. Z. Ding and Z. Q. Hu: Mater. Sci. Eng., A179/A180 (1994), 386.
33. X. D. Liu and J. T. Wang: Nanostructured Mater., 2 (1993), 63.
34. M. L. Sui, S. Patu and Y. Z. He: Scripta Metall. Mater., 25 (1991), 1537.
35. M. L. Sui, L. Y. Xiong, W. Deng, K. Lu, S. Patu and Y. Z. He: J. Appl. Phys., 69 (1991), 4451.
36. H. Y. Tong, B. Z. Ding, J. T. Wang, K. Lu, J. Jiang and J. Zhu: J. Appl. Phys., 72 (1992), 5124.
37. X. D. Liu, J. T. Wang, D. H. Ping and D. X. Li: J. Appl. Phys., 74 (1993), 4501.
38. R. W. Siegel: Nanophase Materials, ed. by G. C. Hadjipanayis and R. W. Siegel, Kluwer Academic Publishers, (1994), p. 239.
39. J. W. Wyrzykowksi and M. W. Grabski: Phil. Mag., A53 (1986), 505.
40. X. D. Liu, H. Y. Zhang, K. Lu and Z. Q. Hu: J. Phys.: Condensed Matter, 6 (1994), L497.
41. X. D. Liu, K. Lu, Z. Q. Hu, J. Zhu and J. Jiang: Physica B, 193 (1994), 147;
42. X. D. Liu, K. Lu, Z. Q. Hu, B. Z. Ding, J. Zhu and J. Jiang: J. Appl. Phys., 75 (1994), 3365.
43. E. Gaffet and M. Harmelin: J. Less-Common Metals, 157 (1991), 201.
44. B. M. Patterson, K. M. Unruh and S. I. Shah: Nanostructured Mater., 1 (1992), 65.
45. D. Kunstelj, A. Kirin and A. Bonefacic: Rapidly Quenched Metals, ed. by S. Steeb and H. Warlimont, North-Holland, Amsterdam, 1 (1985), p. 899.
46. K. Lu and M. L. Sui: J. Mater. Sci. Tech.. 9 (1993), 419.
47. H. Y. Zhang: Ph.D. Thesis, Institute of Metal Research, Academia Sinica, (1995).