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.
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REFERENCES
V. S. Eremeev, Diffusion and Stresses [in Russian], Énergoatomizdat, Moscow (1984).
B. Ya. Lyubov, Diffusion Processes in Nonuniform Solids [in Russian], Nauka, Moscow (1981).
Ya. E. Geguzin, Diffusion Zone [in Russian], Nauka, Moscow (1979).
Ya. S. Podstrigach, “Diffusion theory of the anelasticity of metals,” J. Appl. Mech. Tech. Phys., No. 2, 56-60 (1965).
I. Kaur and W. Gust, Fundamentals of Grain and Interphase Boundary Diffusion, Ziegler Press, Stuttgart (1989).
S. R. De Groot and P. Mazur, Non-Equilibrium Thermodynamics, North-Holland, Amsterdam (1962).
I. Gyarmati, Non-Equilibrium Thermodynamics. Field Theory and Variational Principles, Springer-Verlag, Berlin-Heidelberg-New York (1970).
L. I. Sedov, Mechanics of Continuous Media [in Russian], Nauka, Moscow (1983), Vol. 1.
P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability, and Fluctuations, Wiley Intersciences, New York (1971).
K. P. Gurov, B. A. Kartashkin, and Yu. E. Ugaste, Mutual Diffusion in Multi-Phase Metallic Systems [in Russian], Nauka, Moscow (1981).
R. A. Swalin, Thermodynamics of Solids, John Wiley and Sons, New York-London (1964).
T. D. Shermergor, Theory of Elasicity for Inhomogeneous Media [in Russian], Nauka, Moscow (1977).
D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Nauka, Moscow (1987).
A. G. Knyazeva, Introduction into Locally Equilibrium Thermodynamics of Physicochemical Transformations in Deformable Media [in Russian], Izd. Tomsk. Univ., Tomsk (1996).
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.
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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
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DOI: https://doi.org/10.1023/A:1023485224031