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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

20504 - Ceramics

Projekt

<a href="/cs/project/GA18-17899S" target="_blank" >GA18-17899S: Částečně a plně slinutá keramika - příprava, mikrostruktura, vlastnosti, modelování a teorie slinování</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

JOM

ISSN

1047-4838

e-ISSN

—

Svazek periodika

71

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

10

Strana od-do

4005-4014

Kód UT WoS článku

000491296400028

EID výsledku v databázi Scopus

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