On the effective medium model for particles with a complex structure

We consider a generalization of the effective medium approximation to the case of matrices containing macroscopically inhomogeneous particles with an arbitrary structure (cermet topology). The form of the result is determined to a considerable extent by the heuristic choice of effective cells used t...

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Bibliographic Details
Published in:Technical physics 2017, Vol.62 (1), p.6-13
Main Authors: Apresyan, L. A., Vlasov, D. V., Zadorin, D. A., Krasovskii, V. I.
Format: Article
Language:English
Subjects:
Anisotropic media
Anisotropy
Approximation
Classical and Continuum Physics
Effective medium theory
Mathematical analysis
Maxwell Garnett estimates
Physics
Physics and Astronomy
Theoretical and Mathematical Physics
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Summary:We consider a generalization of the effective medium approximation to the case of matrices containing macroscopically inhomogeneous particles with an arbitrary structure (cermet topology). The form of the result is determined to a considerable extent by the heuristic choice of effective cells used to estimate the field and induction values averaged over the volume. The simplest choice of a particle in an unperturbed field as a cell leads to the Maxwell–Garnett approximation, while the self-consistent effective medium approximation corresponds to the replacement of the unperturbed field by the mean field. As an example, we describe particles with a shell, as well as statistically anisotropic media with a single preferred direction.
ISSN:1063-7842
1090-6525
DOI:10.1134/S1063784217010029