Symmetry transformation in the problem of the conductivity of anisotropic composites

Balagurov, B. Ya.

doi:10.1134/s1063776113130086

Cited by 3 publications

(2 citation statements)

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“…This enables the calculation of the conductivity for an isotropic system with noncircular inclusions . Furthermore, an initially highly anisotropic composite becomes almost completely isotropic as the concentration of inclusions approaches the percolation threshold. , …”

Section: Introductionmentioning

confidence: 99%

“…43 Furthermore, an initially highly anisotropic composite becomes almost completely isotropic as the concentration of inclusions approaches the percolation threshold. 55,56 Another way to incorporate anisotropy in matrix-filler systems is based on a simple extension of an all-symmetric EMT. 57 Again, this works only for small volume fractions of the filler material.…”

Section: ■ Introductionmentioning

confidence: 99%

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Evaluation of Effective Heat Transport and Temperature Gradients in Thermally Anisotropic Particulate Arrangements

Lebeda,

Retsch

2023

ACS Appl. Eng. Mater.

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New materials are often designed to possess anisotropic properties to meet the specific demands of challenging applications. Thermally anisotropic materials are particularly important in the thermal management of electronics. Using anisotropic fillers is a common strategy to tailor the thermal transport properties of macroscopic materials. Various studies have demonstrated the role of filler concentration on the effective material properties. Strikingly, little is known about the contribution of the filler microstructure. Here, we study anisotropic filler particles in a 2D composite material. We determined the two main effects caused by the anisotropy. First, we show that the thermal percolation behavior changes drastically depending on the particle orientation. This enables the design of granular composites with widely adjustable effective thermal conductivities governed by composition and orientation. Second, we observe strong differences in local temperature distributions between isotropic and anisotropic mixtures. The admixture of anisotropic constituents leads to strong internal temperature gradients. These are unfavorable for many thermal management applications. Consequently, anisotropy can control the effective heat transport in composite materials, but adverse temperature gradients need to be considered.

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Section: Introductionmentioning

confidence: 99%