Linking electrical and thermal conductivity through cross-property inclusion modelling

Phil Cilli; Mark Chapman

doi:10.1016/j.mlblux.2021.100101

Linking electrical and thermal conductivity through cross-property inclusion modelling

Phil Cilli^*, Mark Chapman

^*Corresponding author for this work

School of Geosciences

Research output: Contribution to journal › Article › peer-review

Abstract

We derive a new cross-property differential effective medium scheme for a composite material’s thermal conductivity as a function of its electrical conductivity and vice versa. Our scheme assumes that one phase is embedded in the other as inclusions. The relations are independent of inclusion volume fraction, but depend on the aspect ratio of the inclusions. We show that the method successfully models published laboratory measurements on a copper-graphite composite, with the inferred aspect ratio matching the physical shape of the inclusions. This work complements earlier results on elastic-electrical cross-property differential effective medium modelling, and has the potential to be extended for different cross-property relationships.

Original language	English
Article number	100101
Journal	Materials letters
Volume	12
Early online date	20 Sep 2021
DOIs	https://doi.org/10.1016/j.mlblux.2021.100101
Publication status	Published - 1 Dec 2021

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10.1016/j.mlblux.2021.100101Licence: Creative Commons: Attribution (CC-BY)

514. Cilli. Chapman.
© 2021 The Author(s). Published by Elsevier B.V
Final published version, 505 KBLicence: CC BY

https://www.sciencedirect.com/science/article/pii/S2590150821000429Licence: Creative Commons: Attribution (CC-BY)

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PY - 2021/12/1

Y1 - 2021/12/1

N2 - We derive a new cross-property differential effective medium scheme for a composite material’s thermal conductivity as a function of its electrical conductivity and vice versa. Our scheme assumes that one phase is embedded in the other as inclusions. The relations are independent of inclusion volume fraction, but depend on the aspect ratio of the inclusions. We show that the method successfully models published laboratory measurements on a copper-graphite composite, with the inferred aspect ratio matching the physical shape of the inclusions. This work complements earlier results on elastic-electrical cross-property differential effective medium modelling, and has the potential to be extended for different cross-property relationships.

AB - We derive a new cross-property differential effective medium scheme for a composite material’s thermal conductivity as a function of its electrical conductivity and vice versa. Our scheme assumes that one phase is embedded in the other as inclusions. The relations are independent of inclusion volume fraction, but depend on the aspect ratio of the inclusions. We show that the method successfully models published laboratory measurements on a copper-graphite composite, with the inferred aspect ratio matching the physical shape of the inclusions. This work complements earlier results on elastic-electrical cross-property differential effective medium modelling, and has the potential to be extended for different cross-property relationships.

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JO - Materials letters

JF - Materials letters

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Linking electrical and thermal conductivity through cross-property inclusion modelling

Abstract

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