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Erschienen in: Metallography, Microstructure, and Analysis 3/2017

01.06.2017 | Technical Article

Calculating of the True Sizes and the Numbers of Spherical Inclusions in Metal

verfasst von: Alexander D. Drozin

Erschienen in: Metallography, Microstructure, and Analysis | Ausgabe 3/2017

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Abstract

Observing inclusions on a polished plane, researchers do not see these inclusions directly, but only their cross sections. Meanwhile, the given size of a section can be obtained from the inclusions of different sizes. The true sizes of the inclusions and their quantities are hidden from the researchers. This paper proposes a new method for determining the size distribution of inclusions derived from the size distribution of their sections. The method based on mathematical statistics allows evaluating the true sizes and quantities of inclusions. A notable feature of the method is that it enables a researcher to derive the confidence sets for the distribution functions. A special technique for testing the method has been developed. Numerous tests have shown good adequacy of the method.

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Fußnoten
1
If you want to carry out the calculations by this computer program, email me at 'drozinad@gmail.com' and I'll send it to you.
 
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Metadaten
Titel
Calculating of the True Sizes and the Numbers of Spherical Inclusions in Metal
verfasst von
Alexander D. Drozin
Publikationsdatum
01.06.2017
Verlag
Springer US
Erschienen in
Metallography, Microstructure, and Analysis / Ausgabe 3/2017
Print ISSN: 2192-9262
Elektronische ISSN: 2192-9270
DOI
https://doi.org/10.1007/s13632-017-0354-9

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