Funct. Mater. 2024; 31 (3): 381-386.

doi:https://doi.org/10.15407/fm31.03.381

A fractal approach to estimating the durability of critical parts

A.V.Uzhva1, O.V.Orel 1, D.B.Hlushkova1, V.M.Volchuk2

1Kharkiv National Automobile and Highway University, 25 Yaroslava Mudrogo Str., 61002 Kharkiv, Ukraine
2Prydniprovska State Academy of Civil Engineering and Architecture, 24a Architect Oleh Petrov Str., 49000 Dnipro, Ukraine

Abstract: 

The method of evaluating the effectiveness of strengthening technologies for increasing the durability of hydraulic hammer parts by means of detonation spraying is considered. Indicators of crack resistance in the controlled cross-section of the striker and peaks during strengthening by this material increases by 1.3-2.4 times compared to the initial state without spraying. For an express analysis of the mechanical properties of the striker and the hydraulic hammer pick after detonation spraying, the fractal formalism was applied, which made it possible to predict the strength index &sigma:B for the body at the pair correlation coefficient R2=0.8351, for σ0.2– at R2 = 0.7534, and the plasticity index for the pick with R2 = 0.7827, hardness – with R2 = 0.8682. The fractal dimension of the microstructure was calculated at a magnification of 100.

Keywords: 
detonation treatment, fractal, structure, strength, hydrohammer, mathematical model.
References: 
1. J. Kriegler, H. Ballmes, S. Dib et al., Advanced Functional Materials, 2313766 (2024)
 
2. K.M. Vafaeva, R. Zegait, Res. Eng. Struct. Mater., 10(2) 559 (2024)
 
3. B.O. Trembach, D.V. Hlushkova, V.M. Hvozdetskyi, V.A. Vynar, V.I. Zakiev, O.V.Kabatskyi, D.V. Savenok, O.Yu. Zakavorotnyi, Materials Science, 59(1), 18 (2023)
https://doi.org/10.1007/s11003-023-00738-7
 
 
4. V.V. Sobolev, O.V. Skobenko, М.M. Kononenko, V.V. Kulivar, А.V. Kurlyak, Metallofizika i noveishie tekhnologii, 45(11), 1349-1384 (2023)
https://doi.org/10.15407/mfint.45.11.1349
 
5. B. Rakhadilov, D. Kakimzhanov, A. Seitkhanova, A. Kengesbekov, N. Muktanova, Coatings, 14(8), 1049 (2024).
https://doi.org/10.3390/coatings14081049
 
6. A. Iqbal, S. Siddique, M. Maqsood, M. Atiq Ur Rehman, M. Yasir, Coatings, 10, 1006 (2020).
https://doi.org/10.3390/coatings10101006
 
7. V. Lozynskyi, B. Trembach, E. Katinas, K. Sadovyi, et al. Crystals, 14, 335 (2024)
https://doi.org/10.3390/cryst14040335
 
8. Y. Xin, J. Shang, G. Xiang, Q. Wang, Aerospace, 11(6), 485 (2024)
https://doi.org/10.3390/aerospace11060485
 
9. D. Kakimzhanov, B. Rakhadilov, L. Sulyubayeva, M. Dautbekov, Coatings, 13(11), 1824 (2023).
https://doi.org/10.3390/coatings13111824
 
10. D.B. Hlushkova, V.A. Bagrov, V.A. Saenko, V.M. Volchuk, et al., Problems of Atomic Science and Technology, 144(2), 105 (2023)
https://doi.org/10.46813/2023-144-105
 
11. D.B. Hlushkova, A.V. Kalinin, N.E. Kalinina, V.M. Volchuk, et al. Problems of Atomic Science and Technology, 144(2), 126 (2023)
https://doi.org/10.46813/2023-144-126
 
12. V.S. Vahrusheva, D.B. Hlushkova, V.M. Volchuk, et al. Problems of Atomic Science and Technology, 4(140), 137 (2022)
https://doi.org/10.46813/2022-140-137
 
13. A. Mohamad, C. Ivan, T. Yuri, Fuel, 373, 132227 (2024)
https://doi.org/10.1016/j.fuel.2024.132227
 
14. D.B. Hlushkova, V.M. Volchuk, P.M. Polyansky, V.A. Saenko, A.A. Efimenko, Functional Materials, 30(2) 275 (2023)
https://doi.org/10.15407/fm30.02.275
 
15. D.B. Hlushkova, V.M. Volchuk, Functional Materials. 30(3), 453 (2023)
https://doi.org/10.15407/fm30.03.453
 
16. D.B. Hlushkova, V.M. Volchuk, Functional Materials, 31(2), 173 (2024)
https://doi.org/10.15407/fm31.02.173
 
17. B.R. Reddivari, S. Vadapalli, B. Sanduru, T. Buddi, K.M. Vafaeva, A. Joshi, Cogent Eng. 11(1), 2343586 (2024)
https://doi.org/10.1080/23311916.2024.2343586
 
18. Q. Duan, J. An, H. Mao, D. Liang, H. Li, S. Wang, C Huang, Materials, 2021(14), 860 (2021)
https://doi.org/10.3390/ma14040860
 
19. P. Zhang, J. Ding, J. Guo, F. Wang, Fractal and Fractional, 8(6), 304 (2024)
https://doi.org/10.3390/fractalfract8060304
 
20. A. Ilgaz, M. Bayırlı, Indian Journal of Physics, 98, 1335-1341 (2024)
https://doi.org/10.1007/s12648-023-02916-4
 

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