About: Interpretation of Profile and Intercept Counts in Microstructure Characterization

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Description	The results of intercept and profile counts are commonly interpreted as a suitable estimates of the mean grain size as represented e.g. by the grain density N-V, The term grain size is not explicitly defined even when some relation to grain volume and/or mean grain breadth (the mean Ferret diameter) is tacitly assumed. However, the intercept count N-L is directly related to the mean value of grain boundary area per unit volume S-V and the profile count N-A is, under relatively general assumptions, directly related to the mean value of grain junctions per unit volume L-V. Their relation to N-V can be generally written as N-V = c'(N-A)(3/2) = c ''(N-L)(3), but the coefficients c' and c '' strongly depend on the structural characteristics like grain size dispersion, anisotropy etc. and their evaluation is far from being simple. Consequently, whereas the reliable estimates of S-V and L-V result from intercept and profile counts, the estimate of grain density based on them requires a careful consideration. The results of intercept and profile counts are commonly interpreted as a suitable estimates of the mean grain size as represented e.g. by the grain density N-V, The term grain size is not explicitly defined even when some relation to grain volume and/or mean grain breadth (the mean Ferret diameter) is tacitly assumed. However, the intercept count N-L is directly related to the mean value of grain boundary area per unit volume S-V and the profile count N-A is, under relatively general assumptions, directly related to the mean value of grain junctions per unit volume L-V. Their relation to N-V can be generally written as N-V = c'(N-A)(3/2) = c ''(N-L)(3), but the coefficients c' and c '' strongly depend on the structural characteristics like grain size dispersion, anisotropy etc. and their evaluation is far from being simple. Consequently, whereas the reliable estimates of S-V and L-V result from intercept and profile counts, the estimate of grain density based on them requires a careful consideration. (en)
Title	Interpretation of Profile and Intercept Counts in Microstructure Characterization Interpretation of Profile and Intercept Counts in Microstructure Characterization (en)
skos:prefLabel	Interpretation of Profile and Intercept Counts in Microstructure Characterization Interpretation of Profile and Intercept Counts in Microstructure Characterization (en)
skos:notation	RIV/67985840:_____/09:00343472!RIV11-GA0-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/06/0302), P(IAA2041301), Z(AV0Z10190503), Z(AV0Z20410507)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Saxl, Ivan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	320152
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/09:00343472
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	microstructure characterization; intercept count; grain density; metallography (en)
http://linked.open.../riv/klicoveSlovo	metallography microstructure characterization grain density intercept count
http://linked.open...ontrolniKodProRIV	[A39C8C8C8F19]
http://linked.open...v/mistoKonaniAkce	Como
http://linked.open...i/riv/mistoVydani	Zurich
http://linked.open...i/riv/nazevZdroje	Recent Developments in the Processing and applications of Structural Metals and Alloys
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Applied probability - stochastic geometry and metric tools Creep processes in ultrafine-grained metals and alloys processed by the ECAP
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Sklenička, Václav Saxl, Ivan
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000263555900038
http://linked.open.../riv/zahajeniAkce	2008-06-22 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi Physical properties of advanced materials in relation to their microstructure and processing
issn	0255-5476
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Trans Tech Publications LTD
is http://linked.open...avai/riv/vysledek of	Interpretation of Profile and Intercept Counts in Microstructure Characterization Interpretation of Profile and Intercept Counts in Microstructure Characterization Interpretation of Profile and Intercept Counts in Microstructure Characterization

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