Abstract
It is shown that estimation of the conductivity of heterogeneous systems requires that the threshold concentration of the conducting component and the specific density of the packing of its particles be allowed for. An expression is obtained for calculating the threshold concentration for bidisperse systems as a function of the ratio of the sizes of the components. The calculated and experimental data agree satisfactorily. The suggested expressions are recommended for determining and estimating the conductivity of ceramic and composite materials.
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References
J. Ziman,Models of Disorder [Russian translation], Mir, Moscow (1982).
B. I. Shklovskii and L. A. Éfros, “Flow theory and the conductivity of strongly inhomogeneous media,”Usp. Fiz. Nauk,117(3), 401–407(1975).
Yu. N. Kryuchkov,Modeling the Porous Structure and Mass Transfer in Permeable Powder Materials with Allowance for Nonlinear Structural Effects [in Russian], Inst. Probl. Mater. Nats. Akad. Nauk Ukr., Kiev (1986).
G. N. Dul’nev and V. V. Novikov, “Methods for analytical determination of the effective conductivity of heterogeneous systems,”Inzh.-Fiz. Zh.,41(1), 172–184 (1981).
A. I. Veis, V. B. Ignat’eva, B. G. Chernov, and Yu. K. Shalabutov, “Electrical conductivity of refractory oxides of the MgO Al2O3 system,”Ogneupory, No. 6, 18 -19 (1983).
Yu. N. Kryuchkov, “Structural parameters of macroporous glasses,”Steklo Keram., No. 7, 6 -7 (1992).
Yu. P. Zarichnyak, S. S. Ordan’yan, A. N. Sokolov, et al., “Size effects in percolation processes,”Poroshk. Metallurg., No. 7, 64-71(1986).
E. P. Mamunya, V. V. Davidenko, and E. V. Lebedev, “Effect of the geometric parameters of the skeleton formed by the disperse filler on the properties of filled disperse systems,”Kolloid. Zh.,52(1), 145–148(1990).
G. N. Dul’nev and Yu. P. Zarichnyak,Thermal Conductivity of Mixtures and Composite Materials [in Russian], Energiya, Leningrad (1974).
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Kryuchkov, Y.N. Special features of percolation estimation of the conductivity of disperse and bidisperse systems. Refract Ind Ceram 39, 209–211 (1998). https://doi.org/10.1007/BF02764275
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DOI: https://doi.org/10.1007/BF02764275