Conductivity of the 3D model of a composite with spheroidal inclusions


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Abstract

The solution to the problem of the conductivity of the 3D model of a composite with inclusion having a shape of oblate ellipsoids of revolution (spheroids) has been obtained in a wide range of concentrations. The entire range of variation of the shape of inclusions (from a sphere to an infinitely thin circular disk) has been considered. The relation between the percolation thresholds in this model and the quantities characterizing its effective conductivity in the limit of low concentrations of inclusions has been established.

About the authors

B. Ya. Balagurov

Emanuel Institute of Biochemical Physics

Author for correspondence.
Email: balagurov@deom.chph.ras.ru
Russian Federation, Moscow, 119334

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