Percolation threshold and electrical conductivity of a two-phase composite containing randomly oriented ellipsoidal inclusions

Y. Pan, G. J. Weng, S. A. Meguid, W. S. Bao, Z. H. Zhu, A. M.S. Hamouda

Research output: Contribution to journalArticlepeer-review

69 Scopus citations

Abstract

An explicit, analytical theory for the percolation threshold, percolation saturation, and effective conductivity of a two-component system involving randomly oriented ellipsoidal inclusions is proposed. The ellipsoids may take the shape of a needle, prolate or oblate spheroid, sphere, or disk. This theory is based upon consideration of Ponte Casta n eda - Willis P. Ponte Casta n eda and J. R. Willis, J. Mech. Phys. Solids 43, 1919 (1995) microstructure in conjunction with Hashin - Shtrikman Z. Hashin and S. Shtrikman, J. Appl. Phys. 33, 3125 (1962) upper bound. Two critical volume concentrations, c and c, that represent the respective percolation threshold at which the conductive network begins to develop, and the percolation saturation, are identified. During this very short range of concentration, the electrical conductivity of the composite is found to exhibit a very sharp increase, while over the entire range, the calcutilated conductivity exhibits the widely reported sigmoidal shape. Comparison with measurement on a multi-walled carbon nanotube/alumina composite indicates that the theory could capture the major features of the experimentally observed trends sufficiently well.

Original languageEnglish (US)
Article number123715
JournalJournal of Applied Physics
Volume110
Issue number12
DOIs
StatePublished - Dec 15 2011

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Percolation threshold and electrical conductivity of a two-phase composite containing randomly oriented ellipsoidal inclusions'. Together they form a unique fingerprint.

Cite this