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

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

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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 Motor Pulley distribution.The statistical grain size estimation belongs to the quantitative metallographic problems.

The so-called point estimation is a well Neoprene Gloves 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.