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On the yield stress of nanocrystals

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Abstract

A generalization of the Hall-Petch relationship is proposed. The generalized relationship takes account of the contributions from intergrain sliding, generation of lattice dislocations, and influence of disclination-like defects. From this approach, a critical size corresponding to a maximum of the Hall-Petch size dependence is obtained. The value of the critical size essentially depends on the state of boundaries and it explains contradictory results for the microhardness of nanocrystals (NCs), since grain-boundary sliding is facilitated in unrelaxed nanocrystals and constrained in aged ones.

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References

  1. J. C. M. Li andY. T. Chou,Metall. Trans. 1 (1970) 1145.

    Google Scholar 

  2. R. W. Armstrong,Metall. Trans. 1 (1970) 1169.

    Google Scholar 

  3. A. Lasalmonie andJ. L. Strudel,J. Mater. Sci. 21 (1986) 1837.

    Google Scholar 

  4. V. I. Trefilov, V. F. Moiseev andE. P. Pechkovsky, in “Strain hardening and fracture of polycrystalline metals”, edited by V. I. Trefilov (Naukova Dumka, Kiev, 1987) (in Russian).

    Google Scholar 

  5. E. N. Yakovlev, G. M. Gryaznov, V. I. Serbin, V. N. Lapovok, L. I. Trusov, N. B. Kukhar, V. Ya. Ganelin, E. V. Kapitanov andV. B. Begoulev,Surface Phys. Chem. Mech. (USSR)4 (1983) 183 (in Russian).

    Google Scholar 

  6. H. Gleiter andP. Marquardt,Z. Metallkde. 75 (1984) 263.

    Google Scholar 

  7. R. Birringer, H. Gleiter, H. P. Klein andP. Marquardt,Phys. Lett. A 102 (1984) 365.

    Google Scholar 

  8. R. Birringer, U. Herr andH. Gleiter,Trans. Jpn. Inst. Met. Suppl. 27 (1986) 43.

    Google Scholar 

  9. G. D. Hughes, S. D. Smith, C. S. Panda, H. R. Johnson andR. W. Armstrong,Scripta Metall. 20 (1986) 93.

    Google Scholar 

  10. J. Horvath, R. Birringer andH. Gleiter,Solid State Commun. 62 (1987) 319.

    Google Scholar 

  11. X. Zhu, R. Birringer, U. Herr andH. Gleiter,Phys. Rev. B 35 (1987) 9085.

    Google Scholar 

  12. U. Herr, J. Jing, R. Birringer, U. Conser andH. Gleiter,Appl. Phys. Lett. 50 (1987) 472.

    Google Scholar 

  13. H.-E. Schaefer andR. Wurshum,Phys. Lett. A 119 (1987) 370.

    Google Scholar 

  14. R. Wurshum, M. Scheytt andH.-E. Schaefer,Phys. Status Solidi (a)102 (1987) 119.

    Google Scholar 

  15. H.-E. Schaefer, R. Wurshum, R. Birringer andH. Gleiter,Phys. Rev. B 38 (1988) 9545.

    Google Scholar 

  16. R. W. Siegel, S. Ramasamy, H. Hahn, L. Zongquan, L. Ting andR. Gronsky,J. Mater. Res. 3 (1988) 1367.

    Google Scholar 

  17. R. W. Siegel, H. Hahn, S. Ramasamy, L. Zongquan, L. Ting andR. Gronsky,J. de Phys. 49 (1988) C5–861.

    Google Scholar 

  18. D. Korn, A. Morsch, R. Birringer, W. Arnold andH. Gleiter,J. de Phys. 49 (1988) C5–769.

    Google Scholar 

  19. E. Jorra, H. Franz, J. Peisl, G. Wallner, W. Petry, T. Haubold, R. Birringer andH. Gleiter,Phil. Mag. B 60 (1989) 159.

    Google Scholar 

  20. A. H. Chokshi, A. Rosen, J. Karch andH. Gleiter,Scripta Metall. 23 (1989) 1679.

    Google Scholar 

  21. G. W. Nieman, J. R. Weertman andR. W. Siegel,Scripta Metall. 23 (1989) 2013.

    Google Scholar 

  22. T. Haubold, B. Lengeler, R. Birringer andH. Gleiter,Phys. Lett. A 135 (1989) 159.

    Google Scholar 

  23. K. Hayashi andH. Etoh,Trans. Jpn. Inst. Metals 30 (1989) 925.

    Google Scholar 

  24. G. W. Nieman, J. R. Weertman andR. W. Siegel,Scripta Metall. Mater. 24 (1990) 145.

    Google Scholar 

  25. G. J. Thomas, R. W. Siegel, J. A. Eastman,Scripta Metall. Mater. 24 (1990) 201.

    Google Scholar 

  26. W. Wunderlich, Y. Ishida, andR. Maurer,Scripta Metall. Mater. 24 (1990) 403.

    Google Scholar 

  27. J. S. C. Jang andC. C. Koch,Scripta Metall. Mater. 24 (1990) 1599.

    Google Scholar 

  28. H. J. Hofler andR. S. Averback,Scripta Metall. Mater. 24 (1990) 2401.

    Google Scholar 

  29. K. Lu, W. D. Wei andJ. T. Wang,Scripta Metall. Mater. 24 (1990) 2319.

    Google Scholar 

  30. G. Palumbo, U. Erb andK. T. Aust,Scripta Metall. Mater. 24 (1990) 2347.

    Google Scholar 

  31. H. Chang, H. J. Hofler, C. J. Altstetter andR. S. Averback,Scripta Metall. Mater. 25 (1991) 1161.

    Google Scholar 

  32. G. W. Nieman, J. R. Weertman andR. W. Siegel,J. Mater. Res. 6 (1991) 1012.

    Google Scholar 

  33. D. G. Morris andM. A. Morris,Acta Metall. Mater. 39 (1991) 1763.

    Google Scholar 

  34. T. G. Nieh andJ. Wadsworth,Scripta Metall. Mater. 25 (1991) 955.

    Google Scholar 

  35. U. F. Kocks,Metal. Trans. 1 (1970) 1121.

    Google Scholar 

  36. R. S. Pond,Critical Rev. Sol. State Mater. Sci. 15 (1989) 5.

    Google Scholar 

  37. V. G. Gryaznov, M. Yu. Tanakov andL. I. Trusov. accepted toJ. Mater. Sci. 27 (1992) 4829.

    Google Scholar 

  38. R. M. Christensen “Mechanics of composite materials” (John Wiley, New York, 1979).

    Google Scholar 

  39. A. Seeger, in: “Dislocations and mechanical properties of crystals”, (John Wiley, New York, 1957).

    Google Scholar 

  40. F. R. N. Nabarro “Theory of crystal dislocations”, (Clarendon Press, Oxford, 1967).

    Google Scholar 

  41. H. Gleiter,Prog. Mater. Sci. 33 (1989) 223.

    Google Scholar 

  42. P. G. Cheremskoj, V. V. Slezov andV. I. Betekhtin “Pores in solid body” (Energoatomizdat, Moscow, 1990) (in Russian).

    Google Scholar 

  43. R. W. Armstrong, in: “Ultrafine-grain materials”, edited by J. J. Burke and J. Weiss, (Syracuse University Press, Syracuse, NY, 1972).

    Google Scholar 

  44. L. I. Trusov, V. I. Novikov andV. G. Gryaznov, in: “Crystal growth”, edited by E. I. Gevargizov and S. A. Greenberg, 17 (Nauka, Moscow, 1988), p. 69 (in Russian).

    Google Scholar 

  45. V. G. Gryaznov, V. A. Solov'ev andL. I. Trusov,Sripta Metal. Mater. 24 (1990) 1529.

    Google Scholar 

  46. V. G. Gryaznov, I. A. Polonsky, A. E. Romanov andL. I. Trusov,Phys. Rev. B 44 (1991) 42.

    Google Scholar 

  47. V. I. Novikov, V. Ya. Ganelin, L. I. Trusov, V. C. Gryaznov, V. N. Lapovok andS. E. Zeyer,Sol. State Phys. (USSR)28 (1986) 1251 (in Russian).

    Google Scholar 

  48. V. I. Novikov, S. V. Svirida, L. I. Trusov, V. N. Lapovok, V. G. Gryaznov andT. P. Geleishvili,Physics Metals (USSR)6 (1984) 114 (in Russian).

    Google Scholar 

  49. V. G. Gryaznov, V. I. Novikov andL. I. Trusov.Phys. Chem. Mech. Surface (UK)5 (1989) 189.

    Google Scholar 

  50. G. M. Pharr andW. C. Olivier,J. Mater. Res. 4 (1989) 94.

    Google Scholar 

  51. V. G. Gryaznov, A. M. Kaprelov, A. E. Romanov andI. A. Polonsky,Phys. Status Solidi (b)167 (1991) 29.

    Google Scholar 

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Authors and Affiliations

  1. Institute for High Pressure Physics of the Academy of Sciences of the CIS, 142092, Troitsk, Moscow region, Russia

    V. G. Gryaznov

  2. St. Petersburg Branch of the Institute of Machine Sciences of the Academy of Sciences of the CIS, 1991 78, St. Petersburg, Russia

    M. Yu. Gutkin

  3. A. F. Ioffe Physical-Technical Institute of the Academy of Sciences of the CIS, 194021, St. Petersburg, Russia

    A. E. Romanov

  4. Scientific Industrial Enterprise “ULTRAM”, Krasnopresnenskaya 26, Moscow, Russia

    L. I. Trusov

Authors
  1. V. G. Gryaznov
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  2. M. Yu. Gutkin
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  3. A. E. Romanov
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  4. L. I. Trusov
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Gryaznov, V.G., Gutkin, M.Y., Romanov, A.E. et al. On the yield stress of nanocrystals. J Mater Sci 28, 4359–4365 (1993). https://doi.org/10.1007/BF01154943

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