Conductivity estimates  of spherical-particle suspensions based on triplet structure factors

Minh Tan Nguyen; Vincent Monchiet; Guy Bonnet; Quy-Dong To

Conductivity estimates of spherical-particle suspensions based on triplet structure factors

Minh Tan Nguyen ¹ Vincent Monchiet ¹ Guy Bonnet ¹ Quy-Dong To ¹

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

Abstract : In this paper, we present an estimation of the conductivity of composites constituted of identical spheres embedded in a host material. A family of polarization integral equations for the localization problem is constructed and the operator is then minimized to yield an optimal integral equation. As a result, the corresponding Neumann series converges with the fastest rate and can be used to estimate the effective conductivity. By combining this series and an integral approximation, on can derive explicit expressions for the overall properties using expansions in Fourier Domain. For random hard-sphere systems, relations to structure factors and triplet structure factors have been made and Kirkwood superposition approximation is used to evaluate the effective conductivity, taking into account third-order correlations. This presents an original means to account for the statistical information up to third-order correlation when determining the effective properties of composite materials.

Keywords : Effective conductivity composites third order correlation structure factor Neumann series random distribution

Document type :

Journal articles

Domain :

Engineering Sciences [physics] / Mechanics [physics.med-ph] / Mechanics of the solides [physics.class-ph]

Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-01283778
Contributor : Guy Bonnet <>
Submitted on : Sunday, March 6, 2016 - 6:37:54 PM
Last modification on : Thursday, July 18, 2019 - 4:36:06 PM
Long-term archiving on : Tuesday, June 7, 2016 - 12:15:41 PM

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