Effective conductivity of composites containing spheroidal inclusions: Comparison of simulations with theory

In Chan Kim, S. Torquato

Research output: Contribution to journalArticle

27 Scopus citations

Abstract

We determine, by first-passage-time simulations, the effective conductivity tensor σe of anisotropic suspensions of aligned spheroidal inclusions with aspect ratio b/a. This is a versatile model of composite media, containing the special limiting cases of aligned disks (b/a=0), spheres (b/a=1), and aligned needles (b/a=∞), and may be employed to model aligned, long- and short-fiber composites, anisotropic sandstones, certain laminates, and cracked media. Data for σe are obtained for prolate cases (b/a=2, 5, and 10) and oblate cases (b/a=0.1, 0.2, and 0.5) over a wide range of inclusion volume fractions and selected phase conductivities (including superconducting inclusions and perfectly insulating "voids"). The data always lie within second-order rigorous bounds on σe due to Willis [J. Mech. Phys. Solids 25, 185 (1977)] for this model. We compare our data for prolate and oblate spheroids to our previously obtained data for spheres [J. Appl. Phys. 69, 2280 (1991)].

Original languageEnglish (US)
Pages (from-to)1844-1854
Number of pages11
JournalJournal of Applied Physics
Volume74
Issue number3
DOIs
StatePublished - Dec 1 1993

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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