Austenite Grain Size Estimtion from Chord Lengths of Logarithmic-Normal Distribution

Linear section of grains in polyhedral material microstructure is a system of chords. The mean length of chords is the linear grain size of the microstructure. For the prior austenite grains of low alloy structural steels, the chord length is a random variable of gamma- or logarithmic-normal distrib...

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Bibliographic Details
Published in:Archives of metallurgy and materials 2017-12, Vol.62 (4), p.2015-2019
Main Authors: Adrian, H., Wiencek, K.
Format: Article
Language:English
Subjects:
Austenite
Austenite grain size
Chords (geometry)
Confidence intervals
Grain size
Grain size distribution
linear section methods
Low alloy steels
Microstructure
modelling
Normal distribution
Probability distribution functions
Random variables
Statistical analysis
Structural steels
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Description
Summary:Linear section of grains in polyhedral material microstructure is a system of chords. The mean length of chords is the linear grain size of the microstructure. For the prior austenite grains of low alloy structural steels, the chord length is a random variable of gamma- or logarithmic-normal distribution. The statistical grain size estimation belongs to the quantitative metallographic problems. The so-called point estimation is a well known procedure. The interval estimation (grain size confidence interval) for the gamma distribution was given elsewhere, but for the logarithmic-normal distribution is the subject of the present contribution. The statistical analysis is analogous to the one for the gamma distribution.
ISSN:2300-1909
1733-3490
2300-1909
DOI:10.1515/amm-2017-0300