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Linear section of grains in polyhedral material microstructure is a system of chords on a test line. The mean chord length is the linear grain size of the material. In the prior austenite microstructure of low alloy structural steels, the chord length is a random variable which has the gamma distribution. The distribution parameters are closely related to the austenite linear grain size. Because the sequent chord lengths are statistically independent, the grain size interval estimation (confidence interval) may be performed by the chi-square distribution

Austenite Grain Size Estimation in Structural Steels by Linear Section Method / Ocena Wielkości Ziarna Austenitu Metodą Przekrojów Liniowych