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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.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 411: Symposium T – Electricaly-Based Microstructural Characterization , 1995 , 387
Copyright
Copyright © Materials Research Society 1996

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References

REFERENCES

[1] Milton, G. W., in Physics and Chemistry of Porous Media, Eds. Johnson, D.L. and Sen, P.N., American Institute of Physics (1984).Google Scholar
[2] Berryman, J. G. and Milton, G. W., J. Phys. D: Appl. Phys. 21, 87 (1988).Google Scholar
[3] Torquato, S., Phys. Rev. Lett., 64, 2644 (1990).Google Scholar
[4] Avellaneda, M. and Torquato, S., Phys. Fluids A, 3, 2529 (1991).Google Scholar
[5] Torquato, S., in Macroscopic behavior of heterogeneous materials from the microstructure, Eds. Torquato, S. and Krajcinovic, D., American Society of Mechanical Engineers, AMD-Vol. 147, 53 (1992).Google Scholar
[6] Cherkaev, A.V. and Gibiansky, L.V., Proc. of Royal Soc. of Edinburgh, 122A, 93 (1992).Google Scholar
[7] Lurie, K.A. and Cherkaev, A.V., Proc. Roy. Soc. Edinburgh. 99A, 71, (1984); in Advances in Mechanics (Poland), 9, 3 (1986).Google Scholar
[8] Murat, F. and Tartar, L., in Les Méthodes d'Homogénéisation, Coll. de la Dir. des Etudes et Recherches d'Electr. de France, Eyrolles, Paris, 319 (1985).Google Scholar
[9] Gibiansky, L. V. and Torquato, S., Phys. Rev. Lett., 71, 2927 (1993).Google Scholar
[10] Gibiansky, L. V. and Torquato, S., Philosoph. Trans. Roy. Soc. London A343, 243 (1995).Google Scholar
[11] Gibiansky, L. V. and Torquato, S., Proc. Roy. Soc. London A, in press.Google Scholar
[12] Perrins, W. T., McKenzie, D. R. and McPhedran, R. C., Proc. R. Soc. Lond. A 369, 207, 1979).Google Scholar
[13] Eischen, J. W. and Torquato, S., J. Appl. Phys. 74, 159 (1993).Google Scholar
[14] Gibiansky, L. V. and Torquato, S. J. Mech. Phys. Solids, in press.Google Scholar
[15] Kachanov, M., Appl. Mech. Rev. 46, 304 (1990).Google Scholar