Conclusions
Using a technique proposed earlier [1], analytical expressions were derived for the concentration distribution function for a heterogeneous alloy at intermediate stages of homogenization. The resultant expressions lend themselves to tabulation and subsequent practical use. In contrast to the formulas derived in [1], the new expressions are more suitable for the case of statistical mixtures with a mean concentration of ∼50%, whereas the earlier formulas give a better description of diffusion in matrix systems.
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A. I. Raichenko and I. M. Fedorchenko, in: Topics of Powder Metallurgy and Strength of Materials [in Russian], No. 6 (1958), p. 3.
V. V. Ogorodnikov, Poroshkovaya Met., No. 3, 60 (1969).
A. I. Raichenko, Ukr. Fiz. Zh.,3, 408 (1958).
I. P. Bronshtein and K. A. Semendyaev, Handbook of Mathematics [in Russian], Izd-vo Nauka, Moscow (1967), p. 300.
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Translated from Poroshkovaya Metallurgiya, No. 2 (86), pp. 19–26, February, 1970.
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Ogorodnikov, V.V. Theory of diffusion in heterogeneous solids. Powder Metall Met Ceram 9, 106–112 (1970). https://doi.org/10.1007/BF00802142
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DOI: https://doi.org/10.1007/BF00802142