The effective conductivity of a periodic lattice of circular inclusions

Details The effective conductivity of a periodic lattice of circular inclusions The effective conductivity of a periodic lattice of circular inclusions

2012-01-06

arxiv.org/abs/1201.1419v1

Physics

Condensed Matter

Materials Science

17 pages, 5 figures

Scientific paper

We determine the effective conductivity of a two-dimensional composite
consisting of a doubly periodic array of identical circular cylinders within a
homogeneous matrix. We obtain an exact analytic expression for the effective
conductivity tensor as well as its expansion in terms of volume fraction of the
cylinders. Results are illustrated by examples.

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