Describing the Effective Conductivity of Two-Phase and Multiphase Materials via Weighted Means of Bounds and General Power Means

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22310%2F19%3A43919515" target="_blank" >RIV/60461373:22310/19:43919515 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs11837-019-03693-4" target="_blank" >https://link.springer.com/article/10.1007%2Fs11837-019-03693-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11837-019-03693-4" target="_blank" >10.1007/s11837-019-03693-4</a>

Result language
angličtina
Original language name
Describing the Effective Conductivity of Two-Phase and Multiphase Materials via Weighted Means of Bounds and General Power Means
Original language description
The theoretical status of empirical means (based on the heuristic Wyllie-Southwick and Krischer models) of the upper and lower Wiener bounds (i.e., the parallel and series model) for describing the effective thermal conductivity of multiphase materials is clarified, and other useful fit relations are recalled (geometric weighted mean) or newly proposed (generalized sigmoidal mean). All these relations, as well as the general power mean, are compared with the Hashin-Shtrikman bounds, and the admissible fit parameter ranges are determined for materials with isotropic microstructures. It is shown that weighted means result in curves with inflection points, but with different changes in curvature, whereas the curves of general power means do not exhibit inflection points at all. For materials with isotropic microstructure it is recommended to apply the fixed-parameter weighted means and sigmoidal means to Hashin-Shtrikman bounds instead of the Wiener bounds, as is common practice so far.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20504 - Ceramics

Project
<a href="/en/project/GA18-17899S" target="_blank" >GA18-17899S: Partially and fully sintered ceramics – processing, microstructure, properties, modeling and sintering theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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