Effective conductivity for densely packed highly conducting cylinders

Abstract

We study the effective heat conductivity 2e of a periodic square array of nearly touching cylinders of conductivity h, embedded in a matrix material of conductivity 1. We construct a sequence of two-point Pad6 approximants for the effective conductivity. As the basis for the construction we use the coefficients of the expansions of 2e at h = 1 and h = oe… (More)

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