Skip to main content
Log in

Theory of the diffusive glide of dislocations with narrow kinks

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

A theory of glide velocity of a dislocation with narrow kinks which encounter spatially periodic, relatively high energy barriers is developed. The thermally activated generation of double kinks is considered as the mechanism of the dislocation movement. It is assumed that the saddle point is determined by the elastic interaction between the two kinks and that diffusion of the kinks is rate controlling. According to this theory velocities of screw dislocations in α-iron are calculated in dependence on temperature and the applied stress with 2E k =0·68 eV andΔE=0·07 eV (E k is the energy of an isolated kink,ΔE is the “second-order” Peierls energy). Relations to three other theories, which may be considsred for calculation of velocities of screw dislocations in b.c.c. metals are discussed and demonstrated by numerical calculations for iron. It appears that there are no serious objections suggested by experiments which might be raised against the screw dislocation velocities in iron calculated according to the presented theory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Seeger A., Schiller P., Physical Acoustics Vol. III A (ed. W. P. Mason), Academic Press, New York and London 1966, p. 361.

    Google Scholar 

  2. Seeger A., Handbuch der Physik Bd VII/1 (ed. S. Flügge), Springer-Verlag, Berlin-Göttingen-Heidelberg 1955, p. 383.

    Google Scholar 

  3. Hirth J. P., Lothe J., Theory of Dislocations, Mc Graw-Hill, New York 1968.

    Google Scholar 

  4. Lothe J., Hirth J. P., Phys. Rev.115 (1959), 543.

    Google Scholar 

  5. Kazancev A. P., Pokrovskij V. L., ŽETF58 (1970), 677.

    Google Scholar 

  6. Celli V., Kabler M., Ninomiya T., Thomson R., Phys. Rev.131 (1963), 58.

    Google Scholar 

  7. Dorn J. E., Rajnak S., Trans. Met, Soc. AIME230 (1964), 1052.

    Google Scholar 

  8. Hirth J. P., Inelastic Behavior of Solids (ed. M. F. Kanninen et al.), Mc Graw-Hill, Inc., New York 1970, p. 281.

    Google Scholar 

  9. Seeger A., Šesták B., Scripta Met.5 (1971), 875.

    Google Scholar 

  10. Guyot P., Dorn J. E., Can. J. Phys.45 (1967), 983.

    Google Scholar 

  11. Vítek V., Phys. stat. sol.18 (1966), 687.

    Google Scholar 

  12. Vítek V., Kroupa F., phys. stat. sol.18 (1966), 703.

    Google Scholar 

  13. Escaig B., J. Phys.28 (1967), 171.

    Google Scholar 

  14. Duesbery M. S., Hirsch P. B., Dislocation Dynamics (eds. A. R. Rosenfield et al.), Mc Graw-Hill, New York 1968, p. 57.

    Google Scholar 

  15. Duesbery M. S., Phil. Mag.19 (1969), 501.

    Google Scholar 

  16. Seeger A., Phil. Mag.1 (1956), 651.

    Google Scholar 

  17. Kroupa F., Brown L. M., Phil. Mag.6 (1961), 1267.

    Google Scholar 

  18. Manning J. R., Diffusion Kinetics for Atoms in Crystals, D. van Nostrand Company, Inc., Princeton-Toronto 1968.

    Google Scholar 

  19. Lord A. E., Beshers D. N., J. Appl. Phys.36 (1965), 1620.

    Google Scholar 

  20. Vítek V., Peerin R. C., Bowen D. K., Phil. Mag.21 (1971), 1049.

    Google Scholar 

  21. Hartmann O., Pegel B., phys. stat. sol.42 (1970), 315.

    Google Scholar 

  22. Gehlen P. C., Interatomic Potentials and Simulation of Lattice Defects (ed. P. C. Gehlen et al.), Plenum Press, New York-London 1972, p. 475.

    Google Scholar 

  23. Low J. R., Turkalo A. M., Acta Metall18 (1970), 1243.

    Google Scholar 

  24. Lawley A., Gaigher H. L., Phil. Mag.10 (1964), 15.

    Google Scholar 

  25. Saka H., Noda K., Imura T., Crystal Latt. Def.4 (1973), 45.

    Google Scholar 

  26. Urabe N., Weertman J., Materials Science and Engineering18 (1975), 41.

    Google Scholar 

  27. Novák V., to be published.

  28. Conte R., Groh P., Escaig B., phys. stat. sol.28 (1968), 475.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blahovec, J., Šesták, B. Theory of the diffusive glide of dislocations with narrow kinks. Czech J Phys 26, 996–1010 (1976). https://doi.org/10.1007/BF01587447

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01587447

Keywords

Navigation