New approximation for the effective energy of nonlinear conducting composites

Leonid Gibiansky, Salvatore Torquato

Research output: Contribution to journalArticle

6 Scopus citations

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 languageEnglish (US)
Pages (from-to)301-305
Number of pages5
JournalJournal of Applied Physics
Volume84
Issue number1
DOIs
StatePublished - Jul 1 1998

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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