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Rigorous Link Between the Electrical and Mechanical Properties of Composite Materials

Published online by Cambridge University Press:  10 February 2011

S. Torquato and
L. V. Gibiansky
S. Torquato
Affiliation:
Princeton Materials Institute and Department of Civil Engineering and Operations Research, Princeton University, Princeton, N.J. 08540
L. V. Gibiansky
Affiliation:
Princeton Materials Institute and Department of Civil Engineering and Operations Research, Princeton University, Princeton, N.J. 08540
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Abstract

Cross-property relations that link rigorously the effective electrical conductivity (or dielectric constant) and the effective elastic moduli of two-phase, isotropic composite materials are discussed. The cross-property relations can be optimal in some cases, i.e., they are realized by particular microstructures. The relations are applied to specific two-phase composites as well as to cracked media.

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References

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