This article is cited in 3 papers

Theoretical and Mathematical Physics

Influence of the inclusion shape on the conductivity of two-dimensional models of composites

B. Ya. Balagurov

Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Moscow

Abstract: The conductivity of some two-dimensional models of composites with randomly located and oriented dielectric inclusions of various shapes is considered. Exact analytical expressions are obtained for the effective conductivity $\sigma_e$ at low concentration $N$ of inclusions. The results are compared with the results of the corresponding computer experiment.

Received: 20.09.2010

 English version: Technical Physics, 2011, 56:5, 589–596

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