Skip to main content
SpringerLink
Log in

Cross Effects in Solid Media with Diffusion

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Based on thermodynamics of irreversible processes, possible cross effects in isothermal diffusion in solids with internal surfaces are analyzed. Expressions for the fluxes of components and for the fluxes of a newly introduced thermodynamic parameter, specific area of internal surfaces per unit volume or mass of the medium, are obtained. An analysis of these relations and relations between the stresses and strains for various cases is given. In derivation of the governing relations, it was assumed that diffusion proceeds through interstitial sites.

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. V. S. Eremeev, Diffusion and Stresses [in Russian], Énergoatomizdat, Moscow (1984).

    Google Scholar 

  2. B. Ya. Lyubov, Diffusion Processes in Nonuniform Solids [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  3. Ya. E. Geguzin, Diffusion Zone [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  4. Ya. S. Podstrigach, “Diffusion theory of the anelasticity of metals,” J. Appl. Mech. Tech. Phys., No. 2, 56-60 (1965).

    Google Scholar 

  5. I. Kaur and W. Gust, Fundamentals of Grain and Interphase Boundary Diffusion, Ziegler Press, Stuttgart (1989).

    Google Scholar 

  6. S. R. De Groot and P. Mazur, Non-Equilibrium Thermodynamics, North-Holland, Amsterdam (1962).

    Google Scholar 

  7. I. Gyarmati, Non-Equilibrium Thermodynamics. Field Theory and Variational Principles, Springer-Verlag, Berlin-Heidelberg-New York (1970).

    Google Scholar 

  8. L. I. Sedov, Mechanics of Continuous Media [in Russian], Nauka, Moscow (1983), Vol. 1.

    Google Scholar 

  9. P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability, and Fluctuations, Wiley Intersciences, New York (1971).

    Google Scholar 

  10. K. P. Gurov, B. A. Kartashkin, and Yu. E. Ugaste, Mutual Diffusion in Multi-Phase Metallic Systems [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  11. R. A. Swalin, Thermodynamics of Solids, John Wiley and Sons, New York-London (1964).

    Google Scholar 

  12. T. D. Shermergor, Theory of Elasicity for Inhomogeneous Media [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  13. D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  14. A. G. Knyazeva, Introduction into Locally Equilibrium Thermodynamics of Physicochemical Transformations in Deformable Media [in Russian], Izd. Tomsk. Univ., Tomsk (1996).

    Google Scholar 

  15. A. G. Knyazeva and A. M. Timokhin, “Steady-state propagation regimes of a simplest di_usion-controlled solid-phase reaction,” in: Chemical Physics of Combustion and Explosion [in Russian], Proc. of the XII Symp. on Combustion and Explosion (Chernogolovka, September 11-15, 2000), Part 3, Institute of Chem. Physics, Chernogolovka (2000), pp. 93-95.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics of Strength and Material Science, Siberian Division, Russian Academy of Sciences, Tomsk, 634021

    A. G. Knyazeva

Authors
  1. A. G. Knyazeva
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Knyazeva, A.G. Cross Effects in Solid Media with Diffusion. Journal of Applied Mechanics and Technical Physics 44, 373–384 (2003). https://doi.org/10.1023/A:1023485224031

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1023485224031

Search

Navigation