Rigorous bounds on the effective thermal conductivity of composites with ellipsoidal inclusions

DOI10.1016/j.ijengsci.2009.11.003zbMath1213.80025OpenAlexW1987764987MaRDI QIDQ541131

Lin-Zhi Wu

Publication date: 4 June 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2009.11.003

zbMATH Keywords

compositesupper and lower boundstransition layereffective thermal conductivityellipsoidal inclusions

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22)

Related Items (1)

A continuum mixture model for transient heat conduction in multi-phase composites

Cites Work

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• Homogenization and optimal bounds in linear elasticity
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• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• New bounds on effective elastic moduli of two-component materials
• New bounds on the effective thermal conductivity of N -phase materials
• Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media
• Extremum principles for slow viscous flows with applications to suspensions
• Statistical theory of effective electrical, thermal, and magnetic properties of random heterogeneous materials. I. Perturbation expansions for the effective permittivity of cell materials

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