Algorithm of Mathematical Processing of Information Obtained from the Surface of Steel Samples at the Study of Pollution of Steel by Non-Metallic inclusions
DOI:
https://doi.org/10.14529/ctcr180115Keywords:
information processing, crystallography, non-metallic inclusions, stereologyAbstract
In the process of steel smelting, nonmetallic inclusions are formed, which impair steel quality. To determine their numbers and sizes, polished planes are made from a sample of finished steel, on which only the inclusion cross sections can be seen, and not the inclusions themselves. According to currently accepted methods in metallurgy, information taken from the surface of polished planes is not efficiently processed. The paper proposes a method based on the theory of probability and mathematical statistics for the mathematical processing of information on inclusion sections for determining the quantities and sizes of the inclusions themselves in the volume of a metal. The algorithm of calculation is given. The method was tested, which showed the suitability of the algorithm.
References
Lipiński, T. Size of Non-Metallic Inclusionsions High-Grade Medium Carbon Steel / T. Lipiński, A. Wach // Archives of Foundry Engineering. – 2012. – Vol. 14, no. 4. – P. 55–60.
Influence of Non-Metallic Inclusions on the Fatigue properties of Heavily Cold Drawn Steel Wires / K. Lambrighs, L. Verpoest, B. Verlinden, M. Wevers // Procedia Engineering. – 2010. – Vol. 2, iss. 1. – P. 173–181. DOI: 10.1016/j.proeng.2010.03.019
Fatigue Strength Prediction of Drilling Materials Based on the Maximum Non-Metallic Inclusion Size / D. Zeng, G. Tian, F. Liu et. al. // Journal of Materials Engineering and Performance. – 2015. – Vol. 24, iss. 12. – P. 4664–4672. DOI: 10.1007/s11665-015-1753-1
Рощин, В.Е. Электрометаллургия и металлургия стали / В.Е. Рощин, А.В. Рощин. – Челябинск: Издат. Центр ЮУрГУ, 2013. – 571 с.
Салтыков, С.А. Стереометрическая металлография / С.А. Салтыков. – М.: Металлургия, 1970. – 376 с.
Чернявский, К.С. Стереология в металловедении / К.С. Чернявский. – М.: Металлургия, 1977. – 280 с.
Chraponski, J. Usefulness evaluation of the stereological methods applied for grain size estimation / J. Chraponski, J. Cwajna, M. Malinski // Acta stereol. – 1999. – Vol. 18, no. 1. – P. 81–88.
Estimating Number Density NV – a Comparison of an Improved Saltykov Estimator and the Disector Method / A. Davtian, U. Hahn, J. Ohser, D. Stoyan // Image Anal. Stereol. – 2000. – Vol. 19. – P. 209–214. DOI: 10.5566/ias.v19. – P. 209–214.
Anderssen, R.S. Computational Methods in Stereology / R.S. Anderssen, A.J. Jakeman // Proceedings of the fourth international congress for stereology. – U.S. government printing office, Washington, 1976. – P. 13–18.
Jakeman, A.J. On Optimal Forms for Stereological Data / A.J. Jakeman, R.S. Anderssen // Proceedings of the fourth international congress for stereology. – U.S. government printing office, Washington, 1976. – P. 69–74.
Kendall, M.G. Geometric Probability / M.G. Kendall, P.A.P. Moran. – Charles Griffin, London, 1963.
Tanemura, M. Estimation of Linear Functionals by Maximum Likelihood / M. Tanemura // Proceedings of the First International Symposium for Science on Form. – KTK Scientific Publishers, Tokyo, 1986. – P. 157–165.
Nicholson, W.L. On Optimal Forms for Stereological Data / W.L. Nicholson // Proceedings of the fourth international congress for stereology. – U.S. government printing office, Washington, 1976. – P. 19–24.
Drozin, A.D. Calculating of the True Sizes and the Numbers of Spherical Inclusions in Metal / Drozin, A.D. // Metallography, Microstructure, and Analysis. – 2017. – Vol. 6, iss. 3. – P. 240–246. – https://doi.org/10.1007/s13632-017-0354-9. DOI: 10.1007/s13632 -017-0354-9
Феллер, В. Введение в теорию вероятностей и ее приложения / В. Феллер. – М.: Мир, 1963. – Т. 2. – 754 с.
Численные методы условной оптимизации / под ред. Ф. Галла, У. Мюррэя. – М.: Мир, 1977. – 296 с.
Свидетельство о государственной регистрации программы для ЭВМ 2015663317 Российская Федерация. Программа расчета распределения включений в объеме металла по известному распределению их срезов плоскостью шлифа / А.Д. Дрозин. – № 2015660078; заявл. 22.10.2015; опубл. 15.12.2015.






