Closed-form solutions for the effective conductivity of two-phase periodic composites with spherical inclusions - Archive ouverte HAL Access content directly
Journal Articles Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Year : 2013

Closed-form solutions for the effective conductivity of two-phase periodic composites with spherical inclusions

Abstract

In this paper, we use approximate solutions of the Nemat-Nasser et al. to estimate the effective conductivity of two-phase composites with non-overlapping spherical inclusions. Systems with different inclusion distributions are considered: cubic lattice distributions (simple cubic, body-centered cubic and face-centered cubic) and random distributions. The effective conductivities of the former are obtained in closed form and compared with exact solutions from the fast Fourier transform-based methods. For systems containing randomly distributed spherical inclusions, the solutions are shown to be directly related to the static structure factor, and we obtain its analytical expression in the infinite-volume limit.
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Dates and versions

hal-00764368 , version 1 (29-02-2016)

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  • HAL Id : hal-00764368 , version 1

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Quy-Dong To, Guy Bonnet, V. T. To. Closed-form solutions for the effective conductivity of two-phase periodic composites with spherical inclusions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013, 469 (2151), pp.20120339. ⟨hal-00764368⟩
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