The interrelationship between grain size and hardness distributions during grain growth has been investigated for a pure iron. It was shown that the geometric mean grain diameter
Dg increased during grain growth, while the standard deviation for ln
D, lnσ
g decreased, where the grain diameter
D was defined as the equivalent volume diameter. The (arithmetic) mean Vickers hardness \bar
HV decreased during recrystallization and growth, showing a common sigmoidal curve in the plots of \bar
HV versus annealing time, and the variation coefficient of hardness σ
HV⁄\bar
HV expressing the spread of the distribution also tended to decrease. The mean hardness \bar
HV had a better correlation with
Dg−1⁄2 than with \bar
l−1⁄2, where \bar
l was the arithmetic mean length of linear intercept. Therefore, it is concluded that
Dg, which is one of the mean grain sizes in three dimensions, is a more significant value of the mean grain size than \bar
l. It was also pointed out that the value of σ
HV⁄\bar
HV has a trend to increase with the increment of lnσ
g.
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