Characterization of Inclusion Size Distributions in Steel Wire Rods

Materials (Basel). 2022 Nov 1;15(21):7681. doi: 10.3390/ma15217681.

Abstract

The control of inclusions in steel components is essential to guarantee strong performance. The reliable characterization of inclusion populations is essential not only to evaluate the quality of the components but also to allow the use of analytical procedures for the comparison and discrimination of inclusion populations. In this work, inclusion size distributions in wire rod specimens from six plant-scale heats were measured and analyzed. For the measurements, the metallographic procedure specified in the ASTM E2283 standard was used. The population density function (PDF) approach and the extreme value statistical procedure specified in the ASTM E2283 standard were used to analyze the whole size distribution and the upper tail of the size distribution, respectively. The PDF approach allowed us to identify differences among inclusion size distributions and showed that new inclusions were not formed after the liquid steel treatment process. The extreme value statistical procedure led to the prediction of the maximum inclusion length for each heat, which was used for the statistical discrimination of heats. Furthermore, the estimation of the probability of finding an inclusion larger than a given inclusion size using the extreme value theory allowed us to order the heats for different critical inclusion sizes.

Keywords: extreme value theory; inclusion; population density function; size distribution.

Grants and funding

P. Huazano-Estrada acknowledges the Ph.D. scholarship provided by the National Council of Science and Technology of Mexico (CONACyT) for the realization of this work.