Microstructure characterization via stereological relations - a shortcut for beginners
Result description
Stereological relations that can be routinely applied for the quantitative characterization of microstructures of heterogeneous single- and two-phase materials via global microstructural descriptors are reviewed. It is shown that in the case of dense, single-phase polycrystalline materials (e.g. transparent yttrium alumina garnet ceramics) two quantities have to be determined, the interface density (or, equivalently, the mean chord length of the grains) and the mean curvature integral density (or, equivalently, the Jeffries grain size), while for two-phase materials (e.g. highly porous, cellular alumina ceramics), one additional quantity, the volume fraction (porosity), is required. The Delesse-Rosiwal law is recalled and size measures are discussed. It is shown that the Jeffries grain size is based on the triple junction line length density, while the mean chord length of grains is based on the interface density (grain boundary area density). In contrast to widespread belief, however,
Keywords
Saltykov relationDelesse-Rosiwal lawgrain size numbers (linear planar)Jeffries grain sizemean chord length (mean intercept length)Stereology
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Microstructure characterization via stereological relations - a shortcut for beginners
Original language description
Stereological relations that can be routinely applied for the quantitative characterization of microstructures of heterogeneous single- and two-phase materials via global microstructural descriptors are reviewed. It is shown that in the case of dense, single-phase polycrystalline materials (e.g. transparent yttrium alumina garnet ceramics) two quantities have to be determined, the interface density (or, equivalently, the mean chord length of the grains) and the mean curvature integral density (or, equivalently, the Jeffries grain size), while for two-phase materials (e.g. highly porous, cellular alumina ceramics), one additional quantity, the volume fraction (porosity), is required. The Delesse-Rosiwal law is recalled and size measures are discussed. It is shown that the Jeffries grain size is based on the triple junction line length density, while the mean chord length of grains is based on the interface density (grain boundary area density). In contrast to widespread belief, however,
Czech name
—
Czech description
—
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JH - Ceramics, fire-proof materials and glass
OECD FORD branch
—
Result continuities
Project
GAP108/12/1170: Porous Ceramics with Tailored Elasticity and Thermal Conductivity
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Materials Characterization
ISSN
1044-5803
e-ISSN
—
Volume of the periodical
105
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
1-12
UT code for WoS article
—
EID of the result in the Scopus database
—
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
JH - Ceramics, fire-proof materials and glass
Year of implementation
2015