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On bounding the effective conductivity of isotropic composite materials

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Abstract

In this paper inequalities for the effective conductivity of isotropic composite materials are derived. These inequalities depend on several coefficients characterizing the microstructure of composites. The obtained coefficients can be exactly calculated for models of a two-component aggregate of multisized, coated ellipsoidal inclusions, packed to fill all space. As a result, new bounds for effective conductivity, considerably narrower than those of Hashin-Shtrikman, are established for such models of composite materials.

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Author notes

  1. Khanh Le Chau

    Present address: Institut für Mechanik, Ruhr-Universität Bochum, 4630, Bochum 1, BRD

Authors and Affiliations

  1. Institute of Mechanics, Hanoi, Vietnam

    Khanh Le Chau & Pham Duc Chinh

Authors
  1. Khanh Le Chau
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  2. Pham Duc Chinh
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Le Chau, K., Chinh, P.D. On bounding the effective conductivity of isotropic composite materials. Z. angew. Math. Phys. 42, 614–622 (1991). https://doi.org/10.1007/BF00946180

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  • DOI: https://doi.org/10.1007/BF00946180

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