Improved bounds on the effective conductivity of high-contrast suspensions

S. Torquato, J. Rubinstein

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

Conventional upper and lower bounds on the effective conductivity σe of two-phase composite media diverge from one another in the infinite-contrast limits (α=∞ or 0). We have derived a generally nontrivial upper bound on σe for suspensions of identical spheres when the spheres are superconducting, i.e., the upper bound does not necessarily become infinite in the limit α→∞. Similarly, a generally nontrivial lower bound on σe is derived for the aforementioned suspension when the spheres are perfect insulators, i.e., the lower bound does not necessarily vanish in the limit α→0. The bounds are computed for two models: simple cubic arrays and random arrays of spheres.

Original languageEnglish (US)
Pages (from-to)7118-7125
Number of pages8
JournalJournal of Applied Physics
Volume69
Issue number10
DOIs
StatePublished - Dec 1 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Improved bounds on the effective conductivity of high-contrast suspensions'. Together they form a unique fingerprint.

  • Cite this