Concept of uniformity on microstructure of materials has been clarified. On this basis, uniformity on grain structure has been understood as
size uniformity, representing the distribution of grain size, and
spatial uniformity, expressing the degree of clustering of similar-sized grains. Indices of uniformity,
Usize and
Usp have been proposed: Size uniformity,
Usize is designated by the inverse of the geometric standard deviation for grain intersect area,
a, σ
ga. Spatial uniformity,
Usp for the square object area of side length,
L is expressed by the deviation of a microstructural center of gravity from a simple center as follows.
(This article is not displayable. Please see full text pdf.)
\
oindentwhere, the simple center G(
xG,
yG) is the center of gravity for the whole object structure, and the microstructural center G
S(
xS,
yS) is the center weighted by the intersect area of each grain.
Usp depends on setting a standard length,
L; the ways of setting are one corresponding to mean grain size and another of representing an absolute value. Further, it has confirmed that the evaluation of uniformity is useful to the actural microstructures of pure iron samples.
View full abstract