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Equilibrium of a screw dislocation near the interface in a coated solid

  • Theory of Metals
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Abstract

A Fourier-transform-based method for the calculation of stresses produced by dislocations in multilayer materials is proposed. In order to illustrate the approach proposed, the components of the stress tensor of a screw dislocation in a solid with a coating have been calculated and the equilibrium position of the dislocation near the interface has been determined. It is demonstrated that the ratio α = a/l of the equilibrium position a of the dislocation to the coating thickness l is asymptotically proportional to the ratio q = μ1/μ2 of the shear moduli of the coating and the substrate material.

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References

  1. A. K. Head, “The Interaction of Dislocations and Boundaries,” Philos. Mag. 44(Issue 348), 92–98 (1953).

    CAS  Google Scholar 

  2. J. D. Eshelby, “The Force on an Elastic Singularity,” Phil. Trans. R. Soc. (London), Ser. A 244, 87–112 (1951).

    Article  Google Scholar 

  3. A. I. Lur’e, Teoriya uprugosti (Theory of Elasticity) (Nauka, Moscow, 1970) [in Russian].

    Google Scholar 

  4. A. N. Orlov and V. L. Indenbom, “Physical Theory of Plasticity and Strength,” Usp. Fiz. Nauk 76, 557–591 (1962).

    Google Scholar 

  5. L. D. Landau and E. M. Lifshitz, Teoriya Uprugosti (The Theory of Elasticity) (Nauka, Moscow, 1987).

    Google Scholar 

  6. G. Leibfried and H. D. Dietze, “Zur Theorie der Schraubenversetzung,” Z. Phys. 126, 790–808 (1949).

    Article  Google Scholar 

  7. Mathematica. Ver. 6.0 (Wolfram Research, Champaign, 2007).

  8. A. K. Head, “The Interaction of Dislocations with Boundaries and Surface Films,” Austr. J. Phys. 13, 278–282 (1960).

    Article  CAS  Google Scholar 

  9. I. S. Gradshtein and I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii (Tables of Integrals, Sums, Series and Products) (Fizmatgiz, Moscow, 1963; Academic, New York, 1965).

    Google Scholar 

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Authors and Affiliations

  1. National Research Centre Kurchatov Institute, pl. akad. Kurchatova 1, Moscow, 123182, Russia

    R. E. Voskoboinikov

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  1. R. E. Voskoboinikov
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Original Russian Text © R.E. Voskoboinikov, 2012, published in Fizika Metallov i Metallovedenie, 2012, Vol. 113, No. 5, pp. 473–479.

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Voskoboinikov, R.E. Equilibrium of a screw dislocation near the interface in a coated solid. Phys. Metals Metallogr. 113, 448–454 (2012). https://doi.org/10.1134/S0031918X12050109

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  • DOI: https://doi.org/10.1134/S0031918X12050109

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