Effective conductivity for densely packed highly conducting cylinders

S. Tokarzewski, J. Bławzdziewicz, I. Andrianov

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Abstract

We study the effective heat conductivity λ3 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 Padé approximants for the effective conductivity. As the basis for the construction we use the coefficients of the expansions of λe at h=1 and h=∞. The two-point Padé approximants form a sequence of rapidly converging upper and lower bounds on the effective conductivity.

Original languageEnglish
Pages (from-to)601-604
Number of pages4
JournalApplied Physics A Solids and Surfaces
Volume59
Issue number6
DOIs
StatePublished - Dec 1994

Keywords

  • 02.00
  • 65.40.-f
  • 66.70.+f

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