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 language | English |
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Pages (from-to) | 601-604 |
Number of pages | 4 |
Journal | Applied Physics A Solids and Surfaces |
Volume | 59 |
Issue number | 6 |
DOIs | |
State | Published - Dec 1994 |
Keywords
- 02.00
- 65.40.-f
- 66.70.+f