Homogenization procedure and Pad approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section

DOI10.1098/rspa.1999.0457zbMath0953.74054OpenAlexW2043575575MaRDI QIDQ4719976

Vladyslav V. Danishevs'kyy, Igor V. Andrianov, Galina A. Starushenko, Stanisław Tokarzewski

Publication date: 8 February 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0457

zbMATH Keywords

analytical solutionPadé approximantsasymptotic methodscomposite materialseffective heat conductivityperiodic array of cylindrical inclusions

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Thermal effects in solid mechanics (74F05) Padé approximation (41A21)

Related Items (7)

The conductivity of a sheet perforated with square holes ⋮ Three-phase model for a composite material with cylindrical circular inclusions. I: Application of the boundary shape perturbation method ⋮ Three-phase model for a composite material with cylindrical circular inclusions. II: Application of Padé approximants ⋮ Unnamed Item ⋮ Conductivity of a medium containing a dense array of perfectly conducting square cylinders ⋮ An Asymptotic Method for Effective Properties of Visco‐Elastic Composite Materials ⋮ Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions

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