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Circular edge dislocation loop

КРУГОВАЯ ПЕТЛЯ ЛИНЕЙ НОЙ ДИСЛОКАЦИИ

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Cechoslovackij fiziceskij zurnal B Aims and scope

Abstract

A solution of the stress, deformation and deformation energy is given for an edge dislocation with its dislocation line having the shape of a circle in an unlimited isotropic medium. The possibility of using this solution in studying the dislocation loop in a crystal is discussed.

Abstract

Дано решение напряже ний, деφормации и энер гии деφормации для ли нейной дислокации с линией дислокации в φорме окружности в не ограниченной изотро пной среде. Дискутируется возмо жность использовать это решение при иссле довании дислокацион ной петли в кристалле.

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References

  1. Hirsch P. B., Silcox J., Smallman R. E., Westmacott K. H.: Phil. Mag.3 (1958), 897.

    Google Scholar 

  2. Kuhlmann-Wilsdorf D., Maddin R., Hiroshi Kimura: Zs. Metallkunde49 (1958), 584.

    Google Scholar 

  3. Fujita F. E.: Sci. Rep. Tohoku Univ.A7 (1955), 50.

    Google Scholar 

  4. Kochendörfer A.: Arch. für das Eisenhüttenwesen25 (1957), 351.

    Google Scholar 

  5. Franz H., Kröner E.: Zs. Metallkunde46 (1955), 639.

    Google Scholar 

  6. Kröner E.: Kontinuumstheorie der Versetzungen und Eigenspannungen, Springer, Berlin 1958.

    Google Scholar 

  7. Roland de Wit: thesis, University of Illinois, 1958.

  8. Read W. T.: Dislocations in Crystals, Mc Graw Hill, London 1953.

    Google Scholar 

  9. Nabarro F. R. N.: Phil. Mag.42 (1951), 1224.

    Google Scholar 

  10. Burgers J. M.: Proc. Acad. Sci. Amst.42 (1939), 293.

    Google Scholar 

  11. Sneddon J. N.: Fourier Transforms, Mc Graw Hill, New York 1951.

    Google Scholar 

  12. Watson G. N.: Theory of Bessel Functions, University Press, Cambridge 1922.

    Google Scholar 

  13. Рыжик И. М., Градштейн И. С.: Таблицы интегралов, сумм, рядов и произвед ений, ГИТТЛ Москва 1951.

  14. Jahnke E., Emde F.: Tafeln höherer Funktionen, Teubner, Leipzig 1956.

    Google Scholar 

  15. Friedel J.: Les Dislocations, Gauthieur-Villars, Paris 1956.

    Google Scholar 

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

    Google Scholar 

  17. Yoffe E. H.: Phil. Mag.2 (1957), 1197.

    Google Scholar 

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

    Google Scholar 

Download references

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The author thanks M. Šimanová for carrying out the numerical calculations and J. Kaczér and B. Šesták for remarks and discussion.

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Kroupa, F. Circular edge dislocation loop. Czech J Phys 10, 284–293 (1960). https://doi.org/10.1007/BF02033533

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  • DOI: https://doi.org/10.1007/BF02033533

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