Abstract
Approximations for the effective energy and, thus, effective conductivity of nonlinear, isotropic conducting dispersions are developed. This is accomplished by using the Ponte Castaneda variational principles [Philos. Trans. R. Soc. London Ser. A 340, 1321 (1992)] and the Torquato approximation [J. Appl. Phys. 58, 3790 (1985)] of the effective conductivity of corresponding linear composites. The results are obtained for dispersions with superconducting or insulating inclusions, and, more generally, for phases with a power-law energy. It is shown that the new approximations lie within the best available rigorous upper and lower bounds on the effective energy.
Original language | English (US) |
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Pages (from-to) | 301-305 |
Number of pages | 5 |
Journal | Journal of Applied Physics |
Volume | 84 |
Issue number | 1 |
DOIs | |
State | Published - Jul 1 1998 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy