Influence of the inclusions distribution on the effective properties of heterogeneous media |
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| Affiliation: | 1. Department of Biosciences, P.O. Box 65, FI-00014, University of Helsinki, Finland;2. Finnish Game and Fisheries Research Institute, Yliopistokatu 6, FI-80100 Joensuu, Finland;3. Department of Medical Parasitology and Infection Biology, Swiss Tropical and Public Health Institute, 4002 Basel, Switzerland;4. University of Eastern Finland, Department of Biology, P.O. Box 111, FI-80101 Joensuu, Finland |
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| Abstract: | In this paper we investigate the effective conductivity of composite materials by means of the homogenization method. We concentrate on composites with circular or elliptic cylindrical inclusions. In particular, we are interested in the effect of the distribution of the cylinders in the continuous material on the effective properties. We compare rectangular and hexagonal distributions with random distributions for different volume fractions of the inclusions. We also study the effect of the number of inclusions in each periodic cell for the random structure as well as shape influence of the elliptical inclusions. |
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