Calculations of the Conductivity of a Medium Containing Cylindrical Inclusions

作者：Herbert B. Keller, David Sachs · 发表于：Journal of Applied Physics · 年份：1964 · DOI：10.1063/1.1713410 · 被引用次数：46 · 研究领域：Composite Material Mechanics、Numerical methods in inverse problems、Advanced Mathematical Modeling in Engineering

Finite difference calculations of the conductivity of an infinite medium containing a square array of perfectly conducting cylindrical inclusions are reported. For dense packing the results agree with and yield an estimate of the next term in an expansion derived by J. B. Keller. For sparse and intermediate packing the calculations are in excellent agreement with a formula derived by Rayleigh and improved by Runge.