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The stress-strain state for heterodiffusive saturation of a sphere

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Abstract

We study the mechanico-diffusive phenomena of saturation of a sphere for the case of two routes of dopant migration. We establish the basic qualitative and quantitative regularities.

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Literature Cited

  1. B. S. Bokshtein,Diffusion in Metals [in Russian], Metallurgiya, Moscow (1978).

    Google Scholar 

  2. B. S. Bokshtein, C. Z. Bokshtein, and A. A. Zhukhovitskii,Thermodynamics and Kinetics of Diffusion in Solid Bodies [in Russian], Metallurgiya, Moscow (1974).

    Google Scholar 

  3. Ya. I. Burak, B. P. Galapats, and B. M. Gnidets',Physico-mechanical Processes in Electrical Conductors [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  4. Ya. I. Burak, B. P. Galapats, and E. Ya. Chaplya, “Deformation of electrical conductors taking account of heterodiffusion of charged dopants,”Fiz.-Khim. Mekh. Mater., No. 5, 8–14 (1980).

    Google Scholar 

  5. Ya. I. Burak, B. P. Galapats, and E. Ya. Chaplya, “The initial equations of the process of deformation of electroconducting solid solutions taking account of different diffusion routes of the dopants,”Mat. Met. Fiz.-mekh. Polya, No. 11, 60–66 (1980).

    MathSciNet  Google Scholar 

  6. L. Van Vleck,Theoretical and Applied Materials Science [Russian translation], Atomizdat, Moscow (1975).

    Google Scholar 

  7. Ya. S. Podstrigach, “The diffusion theory of deformation of an isotroopic solid medium,”Vopr. Mekh. Real. Tver. Tela, No 2, 71–99 (1964).

    Google Scholar 

  8. A. I. Raichenko,The Mathematical Theory of Diffusion in Applications [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  9. R. Kahn, ed.,Physical Materials Science [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  10. J. Friedel,Dislocations [Russian translation], Mir, Moscow (1967).

    Google Scholar 

  11. E. Ya. Chaplya, “Theory of solid dopants with local phase changes,” Preprint, Nats. Akad. Nauk Ukr. No. 14-95, L'viv (1995).

  12. H. G. Van Bueren,Imperfections in Crystals, North-Holland, Amsterdam (1960).

    Google Scholar 

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Authors
  1. E. Ya. Chaplya
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  2. O. Yu. Chernukha
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Additional information

Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 51–59.

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Chaplya, E.Y., Chernukha, O.Y. The stress-strain state for heterodiffusive saturation of a sphere. J Math Sci 86, 2565–2572 (1997). https://doi.org/10.1007/BF02356098

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  • DOI: https://doi.org/10.1007/BF02356098

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