Young's modulus and thermal conductivity of model materials with convex or concave pores - from analytical predictions to numerical results

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22310%2F18%3A43916700" target="_blank" >RIV/60461373:22310/18:43916700 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0955221918300682" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0955221918300682</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jeurceramsoc.2018.01.040" target="_blank" >10.1016/j.jeurceramsoc.2018.01.040</a>

Result language
angličtina
Original language name
Young's modulus and thermal conductivity of model materials with convex or concave pores - from analytical predictions to numerical results
Original language description
The effective Young's modulus and thermal conductivity of porous materials can be rigorously bounded from above via micromechanical bounds (upper Wiener Paul bounds and upper Hashin Shtrikman bounds), and several model relations are commonly used as tentative approximate predictions (Maxwell-type, Coble-Kingery-type, power-law and exponential relations). Based on numerical calculations on computer-generated digital model microstructures, both periodic and random, it is shown that these model relations provide rough approximations that are more or less appropriate for microstructures with essentially convex pores, but are not suitable for microstructures with concave pores. On the other hand, the Pabst Gregorova cross-property relation provides a very accurate (better than 0.04 relative property units) analytical prediction for the relative Young's modulus of isotropic porous materials with isometric pores, both convex and concave, when the relative thermal conductivity is known. It is shown that this cross-property relation is the best prediction currently available for isotropic porous materials with isometric pores.
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
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OECD FORD branch
20504 - Ceramics

Project
<a href="/en/project/GA15-18513S" target="_blank" >GA15-18513S: Processing and characterization of oxide and silicate ceramics with controlled microstructure and modeling of microstructure-property relations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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