DOI: 10.52150/2522-9117-2024-38-644-655

Parusov Eduard Volodymyrovych, D. Sc. (Tech.), Senior Researcher, Iron and Steel Institute of Z. I. Nekrasov National Academy of Sciences of Ukraine, Academican Starodubova Square, 1, Dnipro, 49107, Ukraine. ORCID: 0000-0002-4560-2043. E-mail: tometal@ukr.net

Borisenko Andrii Yuriiovych, D. Sc. (Tech.), Senior Researcher, Iron and Steel Institute of Z. I. Nekrasov National Academy of Sciences of Ukraine, Academican Starodubova Square, 1, Dnipro, 49107, Ukraine. ORCID: 0000-0003-2120-0944. Eamil: asbor@ua.fm

Oliinyk Eduard Vadymovych, Ph. D. Student, Iron and Steel Institute of Z. I. Nekrasov National Academy of Sciences of Ukraine, Academican Starodubova Square, 1, Dnipro, 49107, Ukraine. ORCID: 0000-0002-3366-3746. Email: ediknsk@gmail.com

Chuiko Ihor Mykolaiovych, Ph. D. (Tech.), Senior Researcher, Iron and Steel Institute of Z. I. Nekrasov National Academy of Sciences of Ukraine, Academican Starodubova Square, 1, Dnipro, 49107, Ukraine. ORCID: 0000-0002-4753-614X. Email: ferrosplav@ukr.net

Parusov Oleh Volodymyrovych, Ph. D. (Tech.), Senior Researcher, Iron and Steel Institute of Z. I. Nekrasov National Academy of Sciences of Ukraine, Academican Starodubova Square, 1, Dnipro, 49107, Ukraine. ORCID: 0000-0002-9879-6179. Email: termet@ukr.net

APPLICATION OF FRACTAL ANALYSIS FOR QUANTITATIVE EVALUATION OF GRAPHITE INCLUSIONS IN THE CAST IRON STRUCTURE

Abstract. The application of the theory of fractals in materials science during the analysis or modeling of various types of structures and their relationship with material properties is the most widespread, accessible and reliable direction. The purpose of the work was to determine the fractal dimension of graphite inclusions depending on their shape and distribution in the structure of gray cast iron. The search for the average fractal dimension of graphite inclusions was carried out in a computer program, the essence of which is to determine the closest convergence of fractal dimension values calculated using cell and point methods. An example of the application of the specified computer program and algorithm for determining the fractal dimensions of graphite inclusions and the metal matrix, as well as other structural elements of gray cast iron, is provided. The obtained calculated values have specific numerical values, therefore, in the future, they can be used to create analytical models for the predictive determination of the quality of gray cast iron depending on the type of final structure. It is shown that the problem of reliable and most accurate quantitative determination of graphite inclusions in the structure of gray cast iron can be solved using the method of fractal analysis. The considered method for determining the fractal dimension can be useful when studying the features of structure formation processes and evaluating the evolution of graphite inclusions at different stages of gray cast iron processing, starting from the smelting stage and ending with the final heat treatment. In addition, fractal analysis can be used to determine and evaluate the influence of morphological parameters of graphite inclusions on the formation of gray cast iron quality indicators, which cannot be achieved using traditional methods of quantitative analysis. Further research will be aimed at establishing statistically significant correlations of the fractal dimension with the properties of gray cast irons, in particular the behavior of the hardness change taking into account the formation of mixed or transitional type structures.

Key words: fractal analysis, fractal dimension structure, gray cast iron, graphite inclusions, metal matrix

DOI: https://doi.org/10.52150/2522-9117-2024-38-644-655

For citation: Parusov, E. V., Borisenko, A. Yu., Oliinyk, E. V., Chuiko, I. M., & Parusov, O. V. (2024). Application of fractal analysis for quantitative evaluation of graphite inclusions in the cast iron structure. Fundamental and applied problems of ferrous metallurgy, 38, 644-655. https://doi.org/10.52150/2522-9117-2024-38-644-655.

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