zbMATH — the first resource for mathematics

On the decomposition of particle size distribution in the extraction replica method. (English) Zbl 0471.60024
60D05 Geometric probability and stochastic geometry
82D30 Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses)
PDF BibTeX Cite
Full Text: EuDML
[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.
[2] G. Bach: Über die Bestimmung von charakteristischen Grössen einer Kugelverteilung aus der Verteilung der Schnittkreise. Z. wiss. Mikroskopie, 65 (1963), 285 - 291.
[3] R. L. Fullman: Measurement of particle size in opaque bodies. J. of Metals, 5 (1953), 447-452.
[4] V. Horálek: Contribution to the study of the material structure. (in Czech). Aplikace mate- matiky, 3 (1958), 376-383.
[5] V. Horálek: Statistical models for testing and inspection of products, material and raw material. (in Czech). Charles University, Prague (PhD dissertation), 1961.
[6] V. Horálek: Estimates of spatial structure parameters using a radiation method. (in Czech). Kovové materiály, 5 (1967), 187-196.
[7] V. Horálek: Influence of resolution power of an instrument on estimation of basic material spatial structure parameters. Kybernetika 14 (1978), 488-497.
[8] V. Horálek: Estimating spatial structure parameters using extraction replicas. (in Czech). Kovové materiály, 16 (1978), 500-509.
[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.
[10] V. Horálek J. Vobořil: Analysis of the Ashby-Ebeling model for evaluating extraction replicas. Kovové materiály 17 (1979), 604-619.
[11] W. L. Nicholson: Estimation of linear properties of particle size distributions. Biometrika, 57 (1970), 273-297. · Zbl 0197.16304
[12] S. A. Saltykov: Stereometric Metallography. (in Russian). Moscow, 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.
[14] S. D. Wicksell: The corpuscle problem. Biometrika, 17 (1925), 84-99. · JFM 51.0392.02
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.