Details
Title
Analysis of Proportional Scopes on Probability Density Functions of Random Chords of Spherical ParticlesJournal title
Archives of Foundry EngineeringYearbook
2021Volume
vo. 21Issue
No 4Authors
Affiliation
Gurgul, D. : AGH University of Science and Technology, Kraków, PolandKeywords
Probability density function of random chords distribution ; linear analysis ; particle size distributionDivisions of PAS
Nauki TechniczneCoverage
61-66Publisher
The Katowice Branch of the Polish Academy of SciencesBibliography
[1] Gurgul, D., Burbelko, A. & Wiktor T. (2021). Derivation of equation for a size distribution of spherical particles in non-transparent materials. Journal of Casting & Materials Engineering. 5(4), 53-60.[2] Wicksell, S.D. (1925). The corpuscle problem: mathematical study of a biometric problem. Biometric. 17 (1/2), 84-89.
[3] Sheil, E. (1935). Statistische gefügeuntersuchungen I. Zeitschrift für Metallkunde. 27 (9), 199-208.
[4] Schwartz, H.A. (1934). The metallographic determination of the sze distribution of temper carbon nodules. Metals and Alloys. 5, 139-140.
[5] Saltykov, S.A. (1967). The determination of the size distribution of particles in an opaque material from the measurement of the size distribution of their section. in the second international congress for stereology, Chicago, 8-13 April 1967. Berlin–Heidelberg–New York, Springer Verlag.
[6] Cahn, J.W. & Fulmann, R.L. (1956) On the use of lineal analysis for obtaining particle size distributions in opaque samples. Transactions, American Institute of Mining, Metallurgical and Petroleum Engineers. 206, 177-187. [7] Lord, G.W. & Willis, T.F. (1951). Calculation of air bubble size distribution from results of a rosiwal traverse of aerated concrete. ASTM Bulletin. 177, 177-187.
[8] Spektor, A.G. (1950). Analysis of distribution of spherical particles in non-transparent structures. Zavodsk. Lab. 16, 173-177.
[9] https://www.cplusplus.com (date of access 06.06.2021).
[10] Burbelko, A., Gurgul, D., Guzik, E. & Kapturkiewicz, W. (2018). Stereological analysis of the statistical distribution of the size of graphite nodules in DI. Materials Science Forum. 925, 98-103.
[11] Fras, E., Burbelko, A.A. & Lopez, H.F. (1996). Secondary nucleation of eutectic graphite grains. Transactions of the American Foundrymen Society. 104, 1-4.