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Dimensional effect in percolation processes

  • Powder Metallurgical Materials, Parts, and Coatings
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Soviet Powder Metallurgy and Metal Ceramics Aims and scope

Conclusions

Analysis of the geometrical special features of the sintered granular systems with large differences in the particle size of the components makes it possible to explain, to a first approximation, the experimentally detected dimensional effects of resistance variations.

The proposed method of analytical evaluation of the variation of resistance can be used for predicting the nature and scale of the expected effects in a wide range of the variation of the determining parameters with the accuracy ± (20–25)% which is comparable with the scatter of the experimental data caused by fluctuations of the determining parameters in processing (by the particle size of the conductor and the insulator, residual porosity, the properties of the initial components and percolation parameters xc, t).

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Literature cited

  1. V. L. Bonch-Bruevich (ed.), Theory and Properties of Disordered Systems [Russian translation], Mir, Moscow (1977).

    Google Scholar 

  2. A. L. Éfros, Physics and Geometry of Disorder [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  3. G. N. Dul'nev and V. V. Novikov, “Methods of analytical determination of effective coefficients of conductivity of heterogeneous systems,” Inzh.-Fiz. Zh.,41, No. 1, 172–184 (1981).

    Google Scholar 

  4. D. P. Volkov, G. N. Dul'nev, Yu. P. Zarichnyak, and B. L. Muratova, “The flow theory and conductivity of heterogeneous media,” Inzh.-Fiz. Zh.,46, No. 2, 247–252 (1984).

    Google Scholar 

  5. G. Ondraĉek, “The conductivity of multiphase materials — relationship between experimental and calculated values for cermets,” J. Mater. Technol.,5, No. 8, 416–428 (1974).

    Google Scholar 

  6. S. G. Gorinskii, I. L. Shabalin, A. R. Beketov, et al., “Electrical resistivity of sintered TiC-SiC materials,” Poroshk. Metall., No. 11, 63–66 (1980).

    Google Scholar 

  7. E. E. Koshug, N. M. Repnikov, Yu. P. Solodov, and R. K. Chuzhko, “Development of composites based on nitrides and examination of their electrophysical properties,” in: Proceedings of the 5th-All-Union Seminar on Nitrides: Methods of Production, Properties, and Applications [in Russian], Riga (1984), pp. 48–49.

  8. Yu. N. Vll'k, E. D. Mnatsakanyan, S. S. Ordan'yan, et al., “Examination of the properties of hot-compacted TiN-Al2O3 composites produced from powders of finely disperse alumina and plasmochemieal titanium nitride,” Poroshk. Metall., No. 7, 61–64 (1981).

    Google Scholar 

  9. E. K. Stepanenko, S. S. Ordan'yan, and E. P. Voevodina, “Effect of the dispersion of initial components on the electrical resistivity of NbN-AlN composites,” in: Proceedings of 7th All-Union Conference on State and Future Development of Methods of Producing and Analyzing Ferrites... [in Russian], Vol. 1, Donetsk (1983), p. 144.

    Google Scholar 

  10. M. Yu. Bal'shin, Scientific Fundamentals of Powder Metallurgy and Fiber Metallurgy [in Russian], Metallurgiya, Moscow (1972).

    Google Scholar 

  11. G. N. Dul'nev and Yu. P. Zarichnyak, Heat Conductivity of Mixtures and Composite Materials [in Russian], Energiya, Leningrad (1974).

    Google Scholar 

  12. D. P. Volkov and Yu. P. Zarichnyak, “Modeling the structure and calculating heat conductivity of polydisperse granular systems,” Inzh.-Fiz. Zh., No. 4, 601–606 (1981).

    Google Scholar 

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Translated from Poroshkovaya Metallurgiya, No. 7(283), pp. 64–71, July, 1986.

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Zarichnyak, Y.P., Ordan'yan, S.S., Sokolov, A.N. et al. Dimensional effect in percolation processes. Powder Metall Met Ceram 25, 585–591 (1986). https://doi.org/10.1007/BF00792368

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  • DOI: https://doi.org/10.1007/BF00792368

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