Hostname: page-component-7479d7b7d-qlrfm Total loading time: 0 Render date: 2024-07-08T11:21:27.211Z Has data issue: false hasContentIssue false

Rigorous Link Between the Electrical and Mechanical Properties of Composite Materials

Published online by Cambridge University Press:  10 February 2011

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
Get access

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
Copyright
Copyright © Materials Research Society 1996

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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