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Computer modeling of the conductance of woven materials containing metallic fibers. I. Generalization of the node problem of percolation theory to the long-range case

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Abstract

We propose a new model for the electrical conductance of woven materials withe metallic microfibers, generalizing the node problem of percolation theory by taking into account the range. We compare the results of the computer experiments with estimates obtained based on percolation theory. We show that as the nonlocality increases, the nature of the functional behavior of the conductance changes near the percolation threshold.

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Authors
  1. Ya. E. Beigel'zimer
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  2. V. G. Synkov
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  3. L. D. Transkovskaya
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  4. D. V. Transkovskii
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Additional information

Donetsk Physicotechnical Institute, Ukrainian Academy of Sciences. Translated from Poroshkovaya Metallurgiya, Nos. 3–4, pp. 66–70, March–April, 1997.

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Beigel'zimer, Y.E., Synkov, V.G., Transkovskaya, L.D. et al. Computer modeling of the conductance of woven materials containing metallic fibers. I. Generalization of the node problem of percolation theory to the long-range case. Powder Metall Met Ceram 36, 176–179 (1997). https://doi.org/10.1007/BF02676085

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  • DOI: https://doi.org/10.1007/BF02676085

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