Inclusion rating by statistics of extreme values and its application to fatigue strength prediction and quality control of materials

The inclusion rating method by statistics of extreme values (IRMSE) using $\sqrt{area}$ of inclusions as the size parameter enables one to discriminate between current super-clean steels. Moreover, IRMSE enables one to predict the size $\left({\sqrt{area}}_{\max }\right)$ of maximum inclusions contained in domains larger than the inspection domain. The statistical distribution of ${\sqrt{area}}_{\max }$ can be used for the quality control of materials and for the prediction of a scatter band of fatigue strength. Practical procedures of inclusion rating and prediction of a scatter band of fatigue strength are shown.