ISSN 0430-6252. Physicochemical Mechanics of Materials. 2022.
Volume 58, Issue 4
Recurrent formula for effective determination of coercitive force of layered ferromagnetic materials
Keywords
non-destructive testing, layered ferromagnetic material, hysteresis loop, coercive force, residual induction.
Cite as
Rybachuk V. H. and Uchanin V. M. Recurrent formula for effective determination of coercitive force of layered ferromagnetic materials. Physicochemical Mechanics of Materials. 2022. 58(4), 098-104.
Abstract
The distribution of magnetic fluxes during the reversal magnetization of three- and four-layer ferromagnetic materials with the same layer thickness by attachable probes with a U-shaped core was analyzed. As result, analytical expressions for their effective coercive force (CF) have been obtained. The application of linear approximation for hysteresis loop demagnetization sections of separate layers is substantiated. The presence of stable regularities in these expressions is shown. Based on them, a recurrent formula for the effective CF of layered ferromagnetic materials, which consist of an arbitrary number of layers of the same thickness, is proposed. It is established that the effective CF depends not only on the CF of individual layers, but also on their residual magnetic inductions. An experimental verification of the obtained expression is carried out on samples of steels 08kp and Ct3. A magnetic analyzer of the KRM-Ts-MA type is used for CF and residual magnetic induction measurements. The good agreement between the calculated value of the effective CF of the two-layer ferromagnetic material of these steels according to the obtained recurrent formula and the measurement results is confirmed (the error does not exceed 3%).
References
- V. G Gerasimov, A. D. Pokrovsky, and V. V. Sukhorukov, Non-Destructive Testing: in 5 books, Book 3: Electromagnetic control, Practical Handbook[in Russian], Vyshaya Shkola, Moscow (1992).
- M. N. Mikheiev, and M. S. Gorkunov, Magnetic Methods of Structural Analysis and Non-Destructive Testing[in Russian], Nauka, Moscow (1993).
- V. V. Kluyev, F. R. Sosnin, A. V. Kovaliov et al., in: V. Kliuyev (editor), Handbook on Non-Destructive Testing[in Russian], Mashinostroyeniye, Moscow (2005).
- G. V. Bida, and A. P. Nichipuruk, “Coercive force measurements in nondestructive testing,” Russian J. of Nondestructive Testing, 36, No. 10. 707–727 (2000).
- G. V. Bida, A. P. Nichipuruk, and T. P. Tsar’kova, “Magnetic properties of steels after quenching and tempering. I. General. Carbon steels,” Russian J. of Nondestructive Testing, 37, No. 2, 79–99 (2001).
- G. V. Bida, A. P. Nichipuruk, and T. P. Tsar’kova, “Magnetic properties of steels after quenching and tempering. II. Low-alloyed steels,” Russian J. of Nondestructive Testing, 37, No. 2, 100–115 (2001).
- G. V. Bida, “Magnetic properties of a body as nondestructive testing parameters of tempering quality of quenched steels (a review),” Russian J. of Nondestructive Testing, 38, No. 6, 412–424 (2002).
- G. Ya. Bezliudko, “Operational control of the fatigue state and life of metal products by non-destructive magnetic (coercimetric) method,” Tekhn. Diagnostika i Nerazrushayushchii Kontrol, No. 2, 20–26 (2003).
- A. I. Ul’yanov, and A. A. Chulkina, “Magnetic properties of cementite and the coercive force of carbon steels after plastic deformation and annealing,” The Physics of Metals and Metallography, 107, No. 5, 439–448 (2009).
- O. P. Ostash, O. V. Vol’demarov, and P. V. Hladysh, “Diagnostics of the structural-mechanical state of steels of steam pipelines by the coercimetric method and prediction of their service life,” Mater. Sci., 49, No. 5, 667–680 (2014).
- Z. T. Nazarchuk, and V. N. Uchanin, “Electromagnetic structuroscopy of structural materials,” Novi Materialy i Tekhnologii v Metalurgii ta Mashynobuduvanni, No. 1, 8–16 (2011).
- G. Ya. Bezlyud’ko, V. F. Muzhitskii, and V. B Remezov, “Series of portable structuroscope-instruments based on measuring the coercive force,” Russian J. of Nondestructive Testing, 39, No. 4, 289–296 (2003).
- V. Uchanin, O. Ostash, G. Nardoni, and R. Solomakha, “Coercive force measurements for structural health monitoringin” in: R. M. Wilcox (editor), The Fundamentals of Structural Integrity and Failure. Chapter 5, Nova Sci. Publ., New York (2020), pp. 193–222.
- G. V. Bida, “Grain size and correlation of strength, plastic and toughness properties with coercive force of ferrite-pearlitic steels,” Tekhn. Diagnostika i Nerazrushayushchii Kontrol, No. 4, 40–45 (2010).
- S. G. Sandomirskii, “Magnetic control of the steel and cast iron articles structure. Modem state (review),” Litiyo i Metallurgiya (Foundry Production and Metallurgy), No. 2, 33–42 (2008).
- S. G. Sandomirskii, “Structural and phase sensitivity of the coercive force of a minor hysteresis loop of steel,” Russian Metallurgy (Metally), No., 204–209 (2014).
- A. Yu. Bondarenko, “On the assessment of the residual life of welded joints by the magnetic method to ensure the quality of welded structures and products,” Tekhn. Diagnostika i Nerazrushayushchii Kontrol, No. 2, 42–45 (2002).
- L. M. Lobanov, A. Yu. Bondarenko, and Yu. K. Bondarenko, “Evaluation of welded joints of structures by magnetic (coercimetric) method for predicting individual residual life,” Tekhn. Diagnostika i Nerazrushayushchii Kontrol, No. 1, 3–8 (2004).
- V. Uchanin, and O. Ostash, “Development of electromagnetic NDT methods for structural integrity assessment,” Procedia Struct. Integrity, 16, 192–197 (2019).
- V. G. Rybachuk, and V. M. Uchanin, “Coercive force of two-layer ferromagnetic materials,” Selection and Processing of Information, 49, Is. 125, 3–8 (2021).
- V. A. Gets, “Using a Phenomenological Model of a Hysteresis Loop to Model the Magnetic Properties of Steel,” in: Abstracts of the VI Int. Youth Sci. Conf. “Physics, Technology, Innovations”(May, 2019, Yekaterinburg, Russia), Method. Center of UPI Publ. House, Yekaterinburg (2019), pp. 856–857.
- V. A. Gets, “Study of the magnetic properties of ferromagnetic materials using mathematical modeling,” https://kmu.itmo.ru/file/download/application/1875 (application date 01.10.2021).