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Effect of macroscopic inclusions on the electrical constants of solids

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Abstract

The problem of streamline current flow in an anisotropic medium with an ellipsoidally shaped macroscopic inclusion having a conductivity tensor different from that of the medium is solved. The solution obtained allowed us to find an expression for the effective conductivity tensor of the anisotropic medium with anisotropic ellipsoidal inclusions in a magnetic field. The problem of the effective values of the magnetoresistance coefficients of a medium with spherical dielectric inclusions is examined as a special case of the application of the general formula. It is shown how one may analyze galvanomagnetic effects in composites with the aid of the results obtained.

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Authors and Affiliations

  1. Krasnoyarsk State University, USSR

    V. P. Kazantsev

Authors
  1. V. P. Kazantsev
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 32–37, May, 1978.

The authors are deeply grateful to V. M. Lenchenko for his continuous attention to this paper and for valuable comments.

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Kazantsev, V.P. Effect of macroscopic inclusions on the electrical constants of solids. Soviet Physics Journal 21, 575–579 (1978). https://doi.org/10.1007/BF00890967

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  • DOI: https://doi.org/10.1007/BF00890967

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