The conductivity of a sheet perforated with square holes

DOI10.1016/J.PHYSLETA.2022.128057zbMath1487.78017OpenAlexW4221034087MaRDI QIDQ2119350

Anatoliy V. Goncharenko, Eugene F. Venger

Publication date: 29 March 2022

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2022.128057

zbMATH Keywords

effective conductivitysquare hole arraytheory of homogenization

Mathematics Subject Classification ID

Technical applications of optics and electromagnetic theory (78A55) Statistical mechanics of metals (82D35) Homogenization in optics and electromagnetic theory (78M40)

Cites Work

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• Stieltjes representation of the 3D Bruggeman effective medium and Padé approximation
• The effective conductivity of arrays of squares: Large random unit cells and extreme contrast ratios
• Analytical continuation of asymptotic expansions of effective transport coefficients by Padé approximants.
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Periodic Heterogeneous Structures: New Explicit Solutions and Effective Characteristics of Refraction of an Imposed Field
• The Theory of Composites
• Homogenization procedure and Pad approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section
• Poisson brackets as the adelic limit of quantum commutators

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