Skip to main content
Log in

On the phase separation in nanostructured solid solutions under the effect of a flux of nonequilibrium vacancies

  • Theory of Metals
  • Published:
The Physics of Metals and Metallography Aims and scope Submit manuscript

Abstract

The effect of a directional flux of nonequilibrium vacancies in a nanograin of a binary substitutional solid solution is considered for the case of a limited solubility of the components. On the assumption that the initial state is thermodynamically equilibrium and single-phase, an analytical solution for a two-phase problem is given in the regime of quasi-stationary diffusion. An analysis has been performed for solid solutions based on the more mobile and less mobile components for the cases of coherent and incoherent interphase boundaries. The main features of the phase separation have been established, the fractions of the new phases have been estimated, and the distributions of the components and vacancies in the arising phases have been found. The possibility of decreasing nanograin sizes upon the decomposition of the solid solution with a specific distribution of the precipitated phases is demonstrated.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Z. Valiev and I. V. Aleksandrov, Nanostructured Materials Produced by Severe Plastic Deformation (Logos, Moscow, 2000) [in Russian].

    Google Scholar 

  2. A. E. Ermakov, V. D. Gapontsev, V. V. Kondrat’ev, and Yu. N. Gornostyrev, “Deformation-Induced Phase Instability in Nanocrystalline Alloys,” Fiz. Met. Metalloved. 88(3), 5–12 (1999) [Phys. Met. Metallogr. 88, 211–218 (1999)].

    CAS  Google Scholar 

  3. V. L. Gapontsev, A. G. Kesarev, and V. V. Kondrat’ev, “Theory of Diffusional Phase Transformation in Nanocrystalline Alloys upon Severe Plastic Deformation: I. The Stage of the Formation of Concentration Inhomogeneities near Grain Boundaries,” Fiz. Met. Metalloved. 94(3), 5–10 (2002) [Phys. Met. Metallogr. 94, 219–223 (2002)].

    CAS  Google Scholar 

  4. A. G. Kesarev, V. V. Kondrat’ev, and V. L. Gapontsev, “Anomalous Diffusion and Solid-Solution Separation under the Effect of Vacancy Sources. Stationary Stage,” Fiz. Met. Metalloved. 98(6), 18–24 (2004) [Phys. Met. Metallogr. 98, 561–567 (2004)].

    CAS  Google Scholar 

  5. I. K. Razumov, V. L. Gapontsev, Yu. N. Gornostyrev, et al., “Theory of Diffusional Phase Transformations in Nanocrystalline Alloys upon Severe Plastic Deformation: II. Decomposition of Nonideal Solid Solutions,” Fiz. Met. Metalloved. 96(4), 5–15 (2003) [Phys. Met. Metallogr. 96, 351–360 (2003)].

    CAS  Google Scholar 

  6. V. L. Gapontsev, I. K. Razumov, Yu. N. Gornostyrev, et al., “Theory of Diffusional Phase Transformations in Nanocrystalline Alloys upon Severe Plastic Deformation: III. Alloys with Limited Solubility,” Fiz. Met. Metalloved. 99(4), 26–37 (2005) [Phys. Met. Metallogr. 99, 365–375 (2005)].

    CAS  Google Scholar 

  7. V. L. Gapontsev and V. V. Kondrat’ev, “Diffusion Phase Transformations in Nanocrystalline Alloys under Severe Plastic Deformation,” Dokl. Akad. Nauk 385(5), 608–611 (2002) [Dokl. 47, 576–579 (2002)].

    Google Scholar 

  8. V. V. Kondrat’ev and V. L. Gapontsev, “Anomalous Phase Transformations in Nanostructured Materials during Severe Plastic Deformation,” Phys. Met. Metallogr 94(Suppl. 1), S131–S138 (2002).

    Google Scholar 

  9. B. I. Smirnov, “Vacancy Generation and Density Changes in Alkali Halide Crystals upon Plastic Deformation,” Fiz. Tverd. Tela 33(9), 2513–2526 (1991).

    CAS  Google Scholar 

  10. A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics (Nauka, Moscow, 1984) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.G. Kesarev, V.V. Kondrat’ev, 2006, published in Fizika Metallov i Metallovedenie, 2006, Vol. 102, No. 1, pp. 686–693.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kesarev, A.G., Kondrat’ev, V.V. On the phase separation in nanostructured solid solutions under the effect of a flux of nonequilibrium vacancies. Phys. Metals Metallogr. 102, 10–17 (2006). https://doi.org/10.1134/S0031918X06070027

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0031918X06070027

PACS numbers

Navigation