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Title: On the decomposition of particle size distribution in the extraction replica method (English)
Author: Horálek, Vratislav
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 26
Issue: 6
Year: 1981
Pages: 401,402-417
Summary lang: English
Summary lang: Czech
Category: math
Summary: This paper deals with the method for evaluating exposures of nickel alloy structures containing both extracted and sectioned particles. The presented stereological model makes it possible to estimate two unknown spatial parameters, the mean value of the particle size distribution and the depth of etching with the use of the information obtained from the combined structure of the exposures. (English)
Keyword: stereological model
MSC: 60D05
MSC: 82A65
MSC: 82D30
MSC: 86A60
idZBL: Zbl 0471.60024
idMR: MR0634277
DOI: 10.21136/AM.1981.103930
Date available: 2008-05-20T18:17:46Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] M. F. Ashby R. Ebeling: On the determination of the number, size, spacing and volume fraction of spherical second-phase particles from extraction replicas.Trans. of the Metall. Soc. of AIME, 236 (1966), No. 11, 1396-1404.
Reference: [2] G. Bach: Über die Bestimmung von charakteristischen Grössen einer Kugelverteilung aus der Verteilung der Schnittkreise.Z. wiss. Mikroskopie, 65 (1963), 285 - 291.
Reference: [3] R. L. Fullman: Measurement of particle size in opaque bodies.J. of Metals, 5 (1953), 447-452.
Reference: [4] V. Horálek: Contribution to the study of the material structure.(in Czech). Aplikace mate- matiky, 3 (1958), 376-383.
Reference: [5] V. Horálek: Statistical models for testing and inspection of products, material and raw material.(in Czech). Charles University, Prague (PhD dissertation), 1961.
Reference: [6] V. Horálek: Estimates of spatial structure parameters using a radiation method.(in Czech). Kovové materiály, 5 (1967), 187-196.
Reference: [7] V. Horálek: Influence of resolution power of an instrument on estimation of basic material spatial structure parameters.Kybernetika 14 (1978), 488-497.
Reference: [8] V. Horálek: Estimating spatial structure parameters using extraction replicas.(in Czech). Kovové materiály, 16 (1978), 500-509.
Reference: [9] V. Horálek J. Vobořil: Modification of basic model for quantitative evaluation of finegrained particles of phase from extraction replicas.(in Czech). Proc. of the 3rd Metallographic Seminar, Tatr. Lomnica, 1978, 228-233.
Reference: [10] V. Horálek J. Vobořil: Analysis of the Ashby-Ebeling model for evaluating extraction replicas.Kovové materiály 17 (1979), 604-619.
Reference: [11] W. L. Nicholson: Estimation of linear properties of particle size distributions.Biometrika, 57 (1970), 273-297. MR 0272146, 10.1093/biomet/57.2.273
Reference: [12] S. A. Saltykov: Stereometric Metallography.(in Russian). Moscow, 1958.
Reference: [13] Z. Šidák: On the mean number and size of opaque particles in transparent bodies.Studies in Math. Statistics, Akademiai Kiado, Budapest, 1968, 161-168.
Reference: [14] S. D. Wicksell: The corpuscle problem.Biometrika, 17 (1925), 84-99.


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