MICROSTRUCTURE CHARACTERIZATION OF POROUS CERAMICS VIA MINKOWSKI FUNCTIONALS

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22310%2F18%3A43915090" target="_blank" >RIV/60461373:22310/18:43915090 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

MICROSTRUCTURE CHARACTERIZATION OF POROUS CERAMICS VIA MINKOWSKI FUNCTIONALS

Popis výsledku v původním jazyce

The effective properties of porous materials depend on the porosity and all other details of the microstructure. A complete quantification of these details is not possible, but there is a systematic way towards a more comprehensive description: the Minkowski functional approach. According to a theorem from integral geometry (Hadwiger’s characterization theorem) a wide class of microstructures is completely determined by four Minkowski functionals, which are closely related to four independent global microstructural descriptors: volume fraction (porosity), surface density, mean curvature integral density (or 2D Euler characteristic) and total curvature integral density (or 3D Euler characteristic). In this contribution we show how these four descriptors and derived pore size measures (mean chord length, generalized Jeffries size) can be obtained in practice for porous ceramics via stereology-based image analysis. Using binarized images from tomographic sections, the disector probe is applied to obtain the 3D Euler characteristic. Results are discussed for porous mullite-alumina composites prepared by foaming with wheat flour and for porous alumina prepared via biological foaming with yeast.

Název v anglickém jazyce

MICROSTRUCTURE CHARACTERIZATION OF POROUS CERAMICS VIA MINKOWSKI FUNCTIONALS

Popis výsledku anglicky

The effective properties of porous materials depend on the porosity and all other details of the microstructure. A complete quantification of these details is not possible, but there is a systematic way towards a more comprehensive description: the Minkowski functional approach. According to a theorem from integral geometry (Hadwiger’s characterization theorem) a wide class of microstructures is completely determined by four Minkowski functionals, which are closely related to four independent global microstructural descriptors: volume fraction (porosity), surface density, mean curvature integral density (or 2D Euler characteristic) and total curvature integral density (or 3D Euler characteristic). In this contribution we show how these four descriptors and derived pore size measures (mean chord length, generalized Jeffries size) can be obtained in practice for porous ceramics via stereology-based image analysis. Using binarized images from tomographic sections, the disector probe is applied to obtain the 3D Euler characteristic. Results are discussed for porous mullite-alumina composites prepared by foaming with wheat flour and for porous alumina prepared via biological foaming with yeast.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20504 - Ceramics

Projekt

<a href="/cs/project/GA15-18513S" target="_blank" >GA15-18513S: Příprava a charakterizace oxidové a silikátové keramiky s řízenou mikrostrukturou a modelování souvislostí mezi mikrostrukturou a vlastnostmi</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 12th Pacific Rim Conference on Ceramic and Glass Technology

ISBN

978-1-119-49421-8

ISSN

1042-1122

e-ISSN

neuvedeno

Počet stran výsledku

12

Strana od-do

53-64

Název nakladatele

American Ceramic Society (ACerS)

Místo vydání

Westerville, Ohio

Místo konání akce

Waikoloa

Datum konání akce

21. 5. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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