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
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 : Friday, October 4, 2019 - 1:21:17 AM
Long-term archiving on : Tuesday, June 7, 2016 - 12:15:41 PM

File

publi-2016-hal-xxx-nguyen-monc...
Files produced by the author(s)

Identifiers

Collections

UPEC-UPEM | MSME | MSME_TCM | MSME_MECA | CNRS | UPEC

Citation

Minh Tan Nguyen, Vincent Monchiet, Guy Bonnet, Quy-Dong To. Conductivity estimates of spherical-particle suspensions based on triplet structure factors. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2016, 93, pp.022105. ⟨10.1103/PhysRevE.93.022105⟩. ⟨hal-01283778⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

283

Files downloads

406

Contact

CCSD