Influence of constant magnetic field on fatigue life of diamagnetics: the role of the Zeeman effect in the fatigue strength of non-ferrous metals
- Authors: Shlyarov V.V.1, Serebryakova A.A.1, Aksenova K.V.1, Zagulyaev D.V.1
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Affiliations:
- Siberian State Industrial University
- Issue: No 3 (2025)
- Pages: 66-80
- Section: PHYSICS
- URL: https://ogarev-online.ru/2072-3040/article/view/360908
- DOI: https://doi.org/10.21685/2072-3040-2025-3-6
- ID: 360908
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Full Text
Abstract
Background. The relevance of the study is due to the need to study the effect of constant magnetic fields on the fatigue life of commercially pure copper and lead, widely used in industry and sensitive to magnetic effects, which will improve the reliability of products and control their mechanical properties. The purpose of the work is to study the effect of a constant magnetic field with an induction of 0.1-0.5 T on the fatigue life of commercially pure copper and lead. Materials and methods. Samples of commercially pure copper grade M1 and lead grade C2 measuring 4 × 12 × 130 mm were manufactured by electrical discharge cutting on a CNC machine. Fatigue tests were carried out on a setup with cyclic asymmetric cantilever bending at a temperature of (~ 300 K). The mode with a loading amplitude of 2.5 mm was selected. The fracture surface was studied by scanning electron microscopy (KYKY EM6900) with structure analysis in ImageJ, and the elemental composition was studied using Ultim Extreme. Results. The fatigue test results showed that the magnetic field increases the fatigue life of copper M1 by 9–28% and lead C2 by 7% at 0.3 T, but reduces it at 0.4–0.5 T; copper fracture occurs through three zones with the formation of a subgrain structure, while in lead the magnetic field changes the fracture morphology and the fracture mechanism. The Zeeman effect, causing splitting of the electron energy levels, changes the activation energies of dislocation motion in diamagnetic metals, which affects their sliding speed and mechanical properties. Conclusions. 1 The magnetic field (0.1–0.25 T) increases the fatigue life of copper by 9–28%, affecting the fracture mechanism through the formation of a subgrain structure. 2 A magnetic field of 0.3 T increases the fatigue life of lead by 7%, while at 0.4–0.5 T it significantly reduces it due to the effect on dislocation mobility and fracture morphology. 3 The Zeeman effect changes the electronic structure of diamagnetic metals, changing the activation energies of dislocation motion and their slip velocity, which affects mechanical properties.
Keywords
About the authors
Vitaliy V. Shlyarov
Siberian State Industrial University
Author for correspondence.
Email: shlyarov_vv@sibsiu.ru
Researcher, Scientific Research Department
(42 Kirova street, Novokuznetsk, Kemerovo region, Russia)Anna A. Serebryakova
Siberian State Industrial University
Email: serebryakova_aa@sibsiu.ru
Researcher, Scientific Research Department
(42 Kirova street, Novokuznetsk, Kemerovo region, Russia)Krestina V. Aksenova
Siberian State Industrial University
Email: 19krestik91@mail.ru
Candidate of engineering sciences, associate professor, associate professor of the sub-department of natural science disciplines named after Professor V. M. Finkel, senior researcher, Scientific Research Department
(42 Kirova street, Novokuznetsk, Kemerovo region, Russia)Dmitriy V. Zagulyaev
Siberian State Industrial University
Email: zagulyaev_dv@physics.sibsiu.ru
Doctor of engineering sciences, associate professor, professor of the sub-department of natural science disciplines named after Professor V. M. Finkel, senior researcher, Scientific Research Department
(42 Kirova street, Novokuznetsk, Kemerovo region, Russia)References
- Li Q., Zhang Y., Zhao H. Influence of static magnetic field on fatigue damage evolution in copper alloys. Materials Science and Engineering A. 2020;785:139431. doi: 10.1016/j.msea.2020.139431
- Zhou X., Lin M., Zhang H. Magnetic field effect on fatigue resistance of copper nanowires. Journal of Applied Physics. 2021;130(4):045103. doi: 10.1063/5.0056374
- Wang J., Liu F., Chen Y. Modulation of electronic structure in copper under magnetic field: implications for deformation mechanisms. Acta Materialia. 2023;241:118444. doi: 10.1016/j.actamat.2023.118444
- Tan K., Wu Z., Feng Q. Probing electronic structure of copper under magnetic fields using X-ray magnetic circular dichroism. Journal of Magnetism and Magnetic Materials. 2021;537:168170. doi: 10.1016/j.jmmm.2021.168170
- Chen L., Hu M., Sun D. Low-energy external field effects on creep and microdamage in pure lead. Journal of Materials Research and Technology. 2022;20:3223–3230. doi: 10.1016/j.jmrt.2022.09.165
- Aksenova K., Zaguliaev D., Konovalov S., Shlyarov V., Ivanov Y. Influence of constant magnetic field upon fatigue life of commercially pure titanium. Materials. 2022;15(19):6926. doi: 10.3390/ma15196926
- Gu Q., Huang X., Xi J., Gao Z. The influence of magnetic field on fatigue and mechanical properties of a 35CrMo steel. Metals. 2021;11(4):542. doi: 10.3390/met11040542
- Zhu W., Yu S., Chen C., Shi L., Xu S., Shuai S., Hu T., Liao H., Wang J., Ren Z. Effects of static magnetic field on the microstructure of selective laser melted Inconel 625 superalloy: numerical and experimental investigations. Metals. 2021;11(11):1846. doi: 10.3390/met11111846
- Zhang Y., Tang Y., Liu Z., Li Q. Static magnetic field influence on grain refinement in metallic alloys. Journal of Magnetism and Magnetic Materials. 2020;504:166666. doi: 10.1016/j.jmmm.2020.166666
- Kim S., Lee H. J., Cho Y. Magnetic-field-assisted microstructure evolution in Fe-based alloys. Metallurgical and Materials Transactions A. 2020;51:3432–3441. doi: 10.1007/s11661-020-05757-0
- Chen Y., Zhao J., Li S. Effects of static magnetic field on solidification structure of Cubased alloys. Journal of Alloys and Compounds. 2021;853:157218. doi: 10.1016/j.jallcom.2020.157218
- Xie Y., Wang C., He X. Static magnetic field-induced grain growth and recrystallization in aluminum alloys. Materials Characterization. 2022;186:111835. doi: 10.1016/j.matchar.2022.111835
- Liu H., Song Y., Zhang X. Microstructure and phase distribution control in magneticfield- treated magnesium alloys. Materials Science Forum. 2023;1076:138–144. doi: 10.4028/p-4w1532
- Ren X., Hu D., Wang F. Magnetic field-assisted phase transformation in steels: A review. Journal of Materials Science & Technology. 2021;75:56–69. doi: 10.1016/j.jmst.2020.09.063
- Gao Y., Wang J., Li Z. Influence of static magnetic field on dislocation behavior and hardening in pure metals. Metals. 2022;12(4):665. doi: 10.3390/met12040665
- Valiev R.Z. et al. (eds.). Physics of Strength and Plasticity. Ufa: Izd-vo BGPU, 1999:345.
- Misumi I., Ohkubo H. Effect of Magnetic Field on Fatigue Crack Growth. Oak Ridge, TN: OSTI. 1993:45.
- Safran S.A. Statistical Thermodynamics of Surfaces, Interfaces, and Membranes. Oxford: Westview Press, 1994:255.
- Kraft M. et al. Fatigue in Submicron Copper Films. International Journal of Materials Research. 2002;93(4):321–328.
- Kronmüller H. et al. (ed.). Magnetic Effects in Solids. Berlin: Springer, 2003:5121.
- Haasen P. Physical Metallurgy. 3rd ed. Cambridge: Cambridge University Press, 1996:493.
- Meyers M.A., Chawla K.K. Mechanical Behavior of Materials. Cambridge: Cambridge University Press, 2008:680.
- Kittel C. Introduction to Solid State Physics. Hoboken, New Jersey : Wiley, 2004:704.
- Serebryakova A.A., Zagulyayev D.V., Shlyarov V.V., Gromov V.E. The influence of a magnetic field with induction of 0.4 T on the plastic properties of lead C2. Vestnik Sibirskogo gosudarstvennogo industrialnogo universiteta = Bulletin of the Siberian State Industrial University. 2023;(1):3‒9. (In Russ.). doi: 10.57070/2304-4497-2023- 1(43)-3-9
- Serebryakova A.A., Zaguliaev D.V., Shlyarov V.V. Influence of a Magnetic Field with Induction up to 0.5 T on the Dynamics of the Deformation Characteristics of Lead. Physics of the Solid State. 2023; 65(1):27‒31. doi: 10.1134/s1063783423700087
- Konovalov A.N. et al. Influence of Magnetic Field on Dislocation Substructure in Copper. Appl. Mech. Mater. 2015.
- Mura T. Micromechanics of Defects in Solids. Berlin: Springer, 1987:587.
- Likhachev V.A. et al. Magnetic Control of Structure and Properties of Materials. Moscow: Nauka, 2006:345.
- Shalimova Z.S. Physics of Semiconductors. Moscow: Nauka, 1985:432.
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