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Зварювання та споріднені технології для відновлення України: Тези допов. конф. під ред. О.Т. Зельніченка. Київ, ТОВ «Видавничий Дім «Патон», 2025, с. 115-116

Analysis of a defective structure using a fractal parameter

Olha Shtofel1,2, Mariana Rabkina1, Tetiana Chyzhska2

1ІЕЗ ім. Є.О. Патона НАН України. 03150, м. Київ, вул Казимира Малевича, 11.
2National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», Kyiv

This paper describes the method of fractal analysis and the invariance of fractal dimension at different magnifications of the sample. The method of fractal analysis has proven itself as one of the possible approaches to studying the structure of metal. This method is applied to the photograph of the structure, and this paper also describes the application of the method of fractal analysis to the defect. The results obtained were analyzed and the fractal dimensions for the structure and for the crack were compared. It was found that at magnifications greater than 40 μm, the fractal dimension is invariant.
Keywords: fractal dimension, invariant, metallography, analysis, steel cylinder

Список літератури

1. Novodranov, A.S. (2024). Methods for recognizing surface defects on thin-sheet materials for automation of visual control (Review). Tekhnichna diahnostyka i neruinyvnyi kontrol, 2, 25–33 [in Ukrainian]. DOI: https://doi.org/10.37434/tdnk2024.02.04
2. Nedosiеka, S.A., Nedosiеka, A.Ya., Yaremenko, M.A., Ovsiyenko, M.A., Hurianov, O.M. (2023) Use of the acoustic emission method for assessing changes in the properties of 17G1S steel after long-term operation. Tekhnichna diahnostyka i neruinyvnyi kontrol, 3, 26–30 [in Ukrainian]. DOI: https://doi.org/10.37434/tdnk2023.03.05
3. Usov, V., Rabkina, M., Shkatulyak, N., Savchuk, E., Shtofel, O. (2020) Anisotropy of fractal dimensions of fractures and loading curves of steel samples during impact bending. Iranian J. of Materials Sci. and Eng., 17(3), 11–20. DOI: https://doi.org/10.22068/ijmse.17.4.142
4. Shtofel, O., Holovko, V., Chyzhska, T. (2021). Fractal and metallographic analyses as an innovation in ensuring the quality of metal products. In: Innovative «Approaches to Ensuring the Quality of Education, Scientific Research and Technological Processes», pp. 1013–1018). Publishing House of University of Technology [in Ukrainian].
5. (2015) DSTU 7809:2015: Rolled steel, calibrated with special surface treatment of carbon quality structural steel. General technical conditions. State Standard of Ukraine [in Ukrainian]. https://online.budstandart.com/ua/catalog/doc-page.html?id_doc=64320
6. Shtofel, O.O. (2021) Improvement of the fractal analysis method for assessing the relationship between the structure and properties of structural steels. Qualification scientific work on the rights of a manuscript, dissertation for the degree of Candidate of Technical Sciences. National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute» [in Ukrainian]. https://ela.kpi.ua/handle/123456789/39936
7. Wu, J., Jin, X., Mi, S., Tang, J. (2020) An effective method to compute the box-counting dimension based on the mathematical definition and intervals. Results in Engineering, 6, 100106. DOI: https://doi.org/10.1016/j.rineng.2020.100106

Analysis of a defective structure using a fractal parameter

Olha Shtofel1,2, Mariana Rabkina1, Tetiana Chyzhska2

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