On the decomposition of particle size distribution in the extraction replica method

Vratislav Horálek

Aplikace matematiky (1981)

  • Volume: 26, Issue: 6, page 401-417
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Horálek, Vratislav. "On the decomposition of particle size distribution in the extraction replica method." Aplikace matematiky 26.6 (1981): 401-417. <http://eudml.org/doc/15211>.

@article{Horálek1981,
abstract = {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.},
author = {Horálek, Vratislav},
journal = {Aplikace matematiky},
keywords = {stereological model},
language = {eng},
number = {6},
pages = {401-417},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the decomposition of particle size distribution in the extraction replica method},
url = {http://eudml.org/doc/15211},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Horálek, Vratislav
TI - On the decomposition of particle size distribution in the extraction replica method
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 6
SP - 401
EP - 417
AB - 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.
LA - eng
KW - stereological model
UR - http://eudml.org/doc/15211
ER -

References

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  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. (1966) 
  2. G. Bach, Über die Bestimmung von charakteristischen Grössen einer Kugelverteilung aus der Verteilung der Schnittkreise, Z. wiss. Mikroskopie, 65 (1963), 285 - 291. (1963) 
  3. R. L. Fullman, Measurement of particle size in opaque bodies, J. of Metals, 5 (1953), 447-452. (1953) 
  4. V. Horálek, Contribution to the study of the material structure, (in Czech). Aplikace mate- matiky, 3 (1958), 376-383. (1958) 
  5. V. Horálek, Statistical models for testing and inspection of products, material and raw material, (in Czech). Charles University, Prague (PhD dissertation), 1961. (1961) 
  6. V. Horálek, Estimates of spatial structure parameters using a radiation method, (in Czech). Kovové materiály, 5 (1967), 187-196. (1967) 
  7. V. Horálek, Influence of resolution power of an instrument on estimation of basic material spatial structure parameters, Kybernetika 14 (1978), 488-497. (1978) 
  8. V. Horálek, Estimating spatial structure parameters using extraction replicas, (in Czech). Kovové materiály, 16 (1978), 500-509. (1978) 
  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. (1978) 
  10. V. Horálek J. Vobořil, Analysis of the Ashby-Ebeling model for evaluating extraction replicas, Kovové materiály 17 (1979), 604-619. (1979) 
  11. W. L. Nicholson, 10.1093/biomet/57.2.273, Biometrika, 57 (1970), 273-297. (1970) MR0272146DOI10.1093/biomet/57.2.273
  12. S. A. Saltykov, Stereometric Metallography, (in Russian). Moscow, 1958. (1958) 
  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. (1968) 
  14. S. D. Wicksell, The corpuscle problem, Biometrika, 17 (1925), 84-99. (1925) 

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