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Peierls-Nabarro model of planar dislocation cores in b.c.c. crystals

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Planar dislocation cores on {110} and {112} planes in b.c.c. crystals are studied using the Peierls-Nabarro model with force laws derived from four different interatomic potentials. A numerical iterative method suitable for solution of the Peierls-Nabarro equation is developed. The cores are represented by a continuous distribution of dislocations. The discussion of the correlation between the force laws and corresponding dislocation densities is based on the properties of the Hilbert transform.

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References

  1. Bullough R., Perrin R. C.: Dislocation Dynamics (Eds. A. Rosenfield, G. T. Hahn, A. L. Bement and R. I. Jaffee), Mc Graw-Hill Publ. Co., 1968.

  2. Gehlen P. C., Rosenfield A. R., Hahn G. T.: J. Appl. Phys.39 (1968), 5246.

    Google Scholar 

  3. Vítek V., Perrin R. C., Bowen D. K.: Phil. Mag.21 (1970), 1049.

    Google Scholar 

  4. Basinski Z. S., Duesbery M. S., Taylor R.: Phil. Mag.21 (1970), 1201.

    Google Scholar 

  5. Diener G., Heinrich R., Schellenberger W.: Phys. stat. sol.44 (1971), 403.

    Google Scholar 

  6. Vítek V., Lejček L., Bowen D. K.: Battelle Colloquium on the Interatomic Potentials and Simulation of Lattice Defects, Seattle 1971, Plenum Press, 1972, p. 493.

  7. Basinski Z. S., Duesbery M. S., Taylor R.: Can J. Phys.49 (1971), 2160.

    Google Scholar 

  8. Basinski Z. S., Duesbery M. S., Taylor R.: Battelle Colloquium on the Interatomic Potentials and Simulation of Lattice Defects, Seattle 1971, Plenum Press, 1972.

  9. Peierls R.: Proc. Phys. Soc. Lond.52 (1940), 34.

    Google Scholar 

  10. Nabarro F. R. N.: Proc. Phys. Soc. Lond.59 (1947), 256.

    Google Scholar 

  11. Eshelby J. D.: Phil. Mag.40 (1949), 903.

    Google Scholar 

  12. Fontaine G.: Thesis, University of Paris, 1968.

  13. Christian J. W., Vítek V.: Rep. Prog. Phys.33 (1970), 307.

    Google Scholar 

  14. Vítek V.: Phil. Mag.18 (1968), 773.

    Google Scholar 

  15. Cottrell A. H.: Theory of Crystal Dislocations, Blackie and Son, London-Glasgow, 1964.

    Google Scholar 

  16. Leibfried G., Lücke K.: Z. Phys.126 (1949), 450.

    Google Scholar 

  17. Vítek V.: private communication.

  18. Vítek V.: Phil. Mag.21 (1970), 1275.

    Google Scholar 

  19. Titchmarsh E. C.: Introduction to the Theory of Fourier Integrals, Oxford, 1962.

  20. Moss T. S.: Optical Properties of Semi-Conductors, Butterworth, London, 1959.

    Google Scholar 

  21. Velický B.: Czech. J. Phys.B 11 (1961), 787.

    Google Scholar 

  22. Foreman A. J., Jaswon M. A., Wood J. K.: Proc. Phys. Soc. Lond.A 64 (1951), 156.

    Google Scholar 

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Na Slovance 2, Praha 8, Czechoslovakia.

The author thanks Dr. F. Kroupa for discussion and reading the manuscript.

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Lejček, L. Peierls-Nabarro model of planar dislocation cores in b.c.c. crystals. Czech J Phys 22, 802–812 (1972). https://doi.org/10.1007/BF01694858

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  • DOI: https://doi.org/10.1007/BF01694858

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