Authors: Z P Luo
Publish Date: 2010/03/12
Volume: 45, Issue: 12, Pages: 3228-3241
Abstract
Methodologies to quantify the microstructural homogeneity or uniformity have been developed based on the proposed statistical homogeneity theory Two kinds of homogeneities are considered for the size and orientation distributions respectively In the case of size distribution the homogeneity is quantified using two parameters H 01 and H 02 which are defined as the probabilities falling into the ranges of μ ± 01μ and μ ± 02μ respectively where μ is the mean size Whereas in the case of orientation distribution three parameters are used to quantify the homogeneity H R the mean resultant length that is a simple measure of the angular data concentration and H 01 and H 02 which are the probabilities in particular angular ranges of the circular or spherical data These homogeneity quantities are formularized using the common statistical models and typical examples are demonstrated
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