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Splitting of dislocations in the Peierls-Nabarro model

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Czechoslovak Journal of Physics B Aims and scope

Abstract

A numerical method of solution of the Peierls-Nabarro integro-differential eqation for a given force lawτ(f) is proposed. The solution, i.e., the disregistryf(x) or the dislocation densityq(x)=df/dx is found in a form which describes the splitting of a dislocation into the chosen number of partial dislocations. The method is applied to the study of planar cores of 1/2〈111〉 dislocation in b.c.c. metals on {112} and on {110} planes. The force lawsτ(f) are derived from the dependence of the stacking fault energyγ on disregistryf; theγ(f) curves calculated by Vítek (1969) forα-Fe for two different interatomic potentials are used. In all cases, the solution is well represented by splitting into three partials.

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Authors and Affiliations

  1. Institute of Physics, Czechosl. Acad. Sci., Prague

    F. Kroupa & L. Lejček

Authors
  1. F. Kroupa
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  2. L. Lejček
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Na Slovance 2, Praha 8, Czechoslovakia.

The authors are indebted to Dr. J. Moudrý for his help in programming for the computer Minsk 22.

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Kroupa, F., Lejček, L. Splitting of dislocations in the Peierls-Nabarro model. Czech J Phys 22, 813–825 (1972). https://doi.org/10.1007/BF01694859

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  • DOI: https://doi.org/10.1007/BF01694859

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