Conductivity of a medium containing a dense array of perfectly conducting square cylinders

DOI10.1007/s10665-021-10108-4zbMath1501.35387OpenAlexW3134251074MaRDI QIDQ2060987

Ehud Yariv

Publication date: 13 December 2021

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-021-10108-4

zbMATH Keywords

conformal mappingsmatched asymptotic expansionscomposite materials

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Effective constitutive equations in solid mechanics (74Q15) Asymptotic expansions of solutions to PDEs (35C20) Composite media; random media in optics and electromagnetic theory (78A48) Electro- and magnetostatics (78A30)

Cites Work

• The effective conductivity of arrays of squares: Large random unit cells and extreme contrast ratios
• Four-Phase Checkerboard Composites
• Proof of a conjecture on the conductivity of checkerboards
• Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders
• A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely Spaced Conducting Cylinders
• The Theory of Composites
• Homogenization procedure and Pad approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section
• Application of Schwarz–Christoffel mapping to the analysis of conduction through a slot
• Slip length for longitudinal shear flow over an arbitrary-protrusion-angle bubble mattress: the small-solid-fraction singularity
• On the slow motion of a sphere parallel to a nearby plane wall
• Unnamed Item

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