Kröner method for thermal or electrical conductivity of polycrystals and other aggregates of anisotropic particles

We reformulated the self-consistent Kröner scheme to calculate thermal conductivities of aggregates of anisotropic particles, including polycrystals. The only assumption of this scheme is that all the particles have the same shape and, therefore, the average temperature gradient in a particle coinci...

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Veröffentlicht in:International journal of engineering science 2019-03, Vol.136, p.67-77
Hauptverfasser: Sevostianov, Igor, Talipov, Marat R.
Format: Artikel
Sprache:eng
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Zusammenfassung:We reformulated the self-consistent Kröner scheme to calculate thermal conductivities of aggregates of anisotropic particles, including polycrystals. The only assumption of this scheme is that all the particles have the same shape and, therefore, the average temperature gradient in a particle coincides with the remotely applied. We specified the expression for overall conductivity for different cases of particles shape and orientation distributions. The accuracy of the approach is verified on experimental and computational data available in literature.
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2019.02.001