Skip to main content
SpringerLink
Log in

Elastic interaction between a dislocation and a near-by inclusion

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

The study of elastic interaction between a dislocation and an inclusion (i.e., a region transformed without change of elastic constants) in an elastic continuum is extended to the cases when the singular dislocation line intersects or touches the inclusion or is situated inside it. The interaction energy is shown to be a finite and continuous function of position of the inclusion. The interaction of an edge dislocation with a dilatation sphere and of a screw dislocation with a sphere transformed into ellipsoid in isotropic continuum are studied in detail. The spherical inclusion which is considered as a rough model of a point defect (e.g. of carbon atom in iron) has a maximum and minimum energy position near the dislocation line so that the binding energy can be calculated in a consistent way.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Eshelby J. D.: Proc. Roy. Soc.A 241 (1957), 376.

    Google Scholar 

  2. Eshelby J. D.: Progr. in Sol. Mech.2 (1961), 89.

    Google Scholar 

  3. Eshelby J. D.: Solid State Physics3 (1956), 79.

    Google Scholar 

  4. Bullough R.:in Proceedings of a Symposium on The Interaction between Dislocations and Point Defects. Harwell 1968, Rep. AERE R-5944, Vol. I, p. 22.

    Google Scholar 

  5. Dundurs J.:in Mathematical Theory of Dislocations. (Editor T. Mura), ASME, N.Y. 1969, p. 70.

    Google Scholar 

  6. Dundurs J., Sendeckyj G. P.: J. Mech. Phys. Sol.13 (1965), 141.

    Google Scholar 

  7. Kroupa F., Lejček L.: Czech. J. Phys.B 20 (1970), 1063.

    Google Scholar 

  8. Kroupa F.:in Mechanics of Generalized Continua. (Editor E. Kröner), Springer Ver., Berlin 1968, p. 290.

    Google Scholar 

  9. Cottrell A. H.: Dislocations and Plastic Flow in Crystals. Clarendon Press, Oxford 1953.

    Google Scholar 

  10. Kellog O. D.: Foundations of Potential Theory. Dover Publ., N.Y. 1954.

    Google Scholar 

  11. Kramer E. J., Bauer C. L.: Phil. Mag.15 (1967), 1189.

    Google Scholar 

  12. Cottrell A. H., Bilby B. A.: Proc. Phys. Soc., London.,62 (1949), 49.

    Google Scholar 

  13. Cochardt A. W., Schoeck G., Wiedersich H.: Acta Met.3 (1955), 533.

    Google Scholar 

  14. Das E. S. P., Richman M. H.: Scripta Met.4 (1970), 69.

    Google Scholar 

  15. Michlin S. G.: Mnogomernye singularnye integraly i integralnye uravnenia. Gos. Izd. Fiz. Mat. Lit., Moskva 1962.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, Czechosl. Acad. Sci., Na Slovance 2, Praha 8, Czechoslovakia

    F. Kroupa

Authors
  1. F. Kroupa
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author is obliged to Dr. J. Blahovec and Dr. L. Lejček for stimulating discussion and to Dr. I. Saxl for helpful comments on the manuscript.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kroupa, F. Elastic interaction between a dislocation and a near-by inclusion. Czech J Phys 21, 1262–1272 (1971). https://doi.org/10.1007/BF01699489

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01699489

Keywords

Search

Navigation