A generalized effective-field approximation for an inhomogeneous medium with coated inclusions

Колесников, В. И.; Bardushkin, V. V.; Lavrov, I. V.; Сычев, А. П.; Yakovlev, V. B.

doi:10.1134/s1028335817090087

Cited by 9 publications

(3 citation statements)

References 5 publications

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“…To solve the problem (3), it is reasonable to consider a similar problem for a homogeneous comparison body having the same dimensions and shape as the sample of heterogeneous medium [18,21]:…”

Section: Problem Statement Formalism Using the Comparison Body And Gr...mentioning

confidence: 99%

“…In [17] generalizations of the Maxwell−Garnett approximation to matrix composites with spherical inclusions with a multilayer shell are obtained. A generalized effective-field approximation field for calculating the effective characteristics of heterogeneous media with ellipsoidal inclusions with a single-layer shell is proposed in [18]. Special mention should be made of the work [19], which proposed an approach for calculating the effective thermal conductivity of a composite with unidirectional ellipsoidal inclusions in a multilayer shell.…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper, the generalized effective-field approximation [18] is extended to the case of heterogeneous media with inclusions with a homogeneous core and a multilayer shell with homogeneous layers, with the boundaries of the inclusion cores and shells assumed ellipsoidal. The proposed approach has a high degree of generality and can be applied both to multicomponent composites and to polycrystals, it is also able to naturally take into account the probability distribution of orientations and shapes of inclusions.…”

Section: Introductionmentioning

confidence: 99%

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Generalized effective-field approximation for inhomogeneous medium with inclusions in multilayered shells

2022

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An approach is proposed for calculating effective physical characteristics of a inhomogeneous medium with several levels of nesting of its microstructure --- the generalized effective-field approximation. With the help of this approach, an expression is obtained for an effective permittivity tensor of an inhomogeneous medium with ellipsoidal inclusions in a multilayered shell, the boundaries of all layers of which are ellipsoids. The proposed approach allows to take into account probabilistic distributions of orientations and forms of inclusions, as well as the presence of several types of inclusions. Two cases of matrix composites are considered: 1) with spherical isotropic inclusions with a multilayered shell; 2) with ellipsoidal anisotropic inclusions with a multilayered shell. For an inhomogeneous medium with homogeneous inclusions, this approximation is shown to produce the same result as the generalized singular approximation. Keywords: inhomogeneous medium, composite, matrix, inclusion, multilayered shell, generalized effective-field approximation, generalized singular approximation, effective permittivity.

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Section: Problem Statement Formalism Using the Comparison Body And Gr...mentioning

confidence: 99%