Inequalities for bounds on effective transport coefficients of two-phase media from power expansions at real points

DOI10.1007/S00033-009-0026-YzbMath1264.74196OpenAlexW2002742719MaRDI QIDQ638675

Stanisław Tokarzewski

Publication date: 13 September 2011

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-009-0026-y

zbMATH Keywords

Stieltjes functionface-centered cubic lattice\(S\)-continued fraction

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20)

Related Items (1)

Multipoint matrix Padé approximant bounds on effective anisotropic transport coefficients of two-phase media

Cites Work

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• \(N\)-point Padé approximants and two-sided estimates of errors on the real axis for Stieltjes functions
• Hierarchies of Stieltjes Functions and Their Application to the Calculation of Bounds for the Dielectric Constant of a Two-Component Composite Medium
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• The Theory of Composites
• Optimal bounds correlating electric, magnetic and thermal properties of two-phase, two-dimensional composites

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