Skip to main content
Log in

Micromagnetic investigation by a simplified approach on the demagnetization field of permanent magnets with nonmagnetic phase inside

  • Research Article
  • Published:
Frontiers of Materials Science Aims and scope Submit manuscript

Abstract

A simplified analysis method based on micromagnetic simulation is proposed to investigate effects of nonmagnetic particles on the demagnetizing field of a permanent magnet. By applying the additivity law of the demagnetizing field, the complicated demagnetizing field of the real magnet could be analyzed by only focusing on the stray field of the reserved magnet. For a magnet with nonmagnetic particles inside, the particle size has no significant effect on the maximum value of the demagnetization field, but the area of the affected region by the particle is proportional to the particle size. A large particle produces a large affected area overlapped with those influenced by other particles, which leads to the large demagnetization field. With increasing the length of the particle along the magnetization direction, the demagnetization field on the pole surface increases. The pole surface with a convex shape will increase the demagnetization field. The demagnetizing field near the nonmagnetic particle will be further increased by the large macroscopic demagnetizing field near the pole surface. This work suggests some practical approaches to optimize the microstructure of permanent magnets.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Woodcock T G, Zhang Y, Hrkac G, et al. Understanding the microstructure and coercivity of high performance NdFeB-based magnets. Scripta Materialia, 2012, 67(6): 536–541

    Article  CAS  Google Scholar 

  2. Sepehri-Amin H, Ohkubo T, Shima T, et al. Grain boundary and interface chemistry of an Nd-Fe-B-based sintered magnet. Acta Materialia, 2012, 60(3): 819–830

    Article  CAS  Google Scholar 

  3. Mishra R K, Chen J K, Thomas G. Effect of annealing on the microstructure of sintered Nd-Fe-B magnets. Journal of Applied Physics, 1986, 59(6): 2244–2246

    Article  CAS  Google Scholar 

  4. Engelmann H J, Kim A S, Thomas G. Microstructure and magnetic effects of small Cu additions to (Nd, Dy)FeB magnets. Scripta Materialia, 1997, 36(1): 55–62

    Article  CAS  Google Scholar 

  5. Xia M, Abrahamsen A B, Bahl C R H, et al. The influence of carbon and oxygen on the magnetic characteristics of press-less sintered NdFeB magnets. Journal of Magnetism and Magnetic Materials, 2017, 422: 232–236

    Article  CAS  Google Scholar 

  6. Hou Y H, Wang Y L, Huang Y L, et al. Effects of Nd-rich phase on the improved properties and recoil loops for hot deformed Nd-Fe- B magnets. Acta Materialia, 2016, 115: 385–391

    Article  CAS  Google Scholar 

  7. Zhou Q, Li W, Hong Y, et al. Microstructure improvement related coercivity enhancement for sintered NdFeB magnets after optimized additional heat treatment. Journal of Rare Earths, 2018, 36(4): 379–384

    Article  CAS  Google Scholar 

  8. Hono K, Sepehri-Amin H. Strategy for high-coercivity Nd-Fe-B magnets. Scripta Materialia, 2012, 67(6): 530–535

    Article  CAS  Google Scholar 

  9. Fidler J, Schrefl T. Micromagnetic modelling — the current state of the art. Journal of Physics D: Applied Physics, 2000, 33(15): R135–R156

    Article  CAS  Google Scholar 

  10. Joseph R I. Ballistic demagnetizing factor in uniformly magnetized rectangular prisms. Journal of Applied Physics, 1967, 38(5): 2405–2406

    Article  CAS  Google Scholar 

  11. Si W, Zhao G P, Ran N, et al. Deterioration of the coercivity due to the diffusion induced interface layer in hard/soft multilayers. Scientific Reports, 2015, 5(1): 16212 (9 pages)

    Google Scholar 

  12. Weng X J, Shen L C, Tang H, et al. Change of coercivity mechanism with the soft film thickness in hard-soft trilayers. Journal of Magnetism and Magnetic Materials, 2019, 475: 352–358

    Article  CAS  Google Scholar 

  13. Kronmüller H. General micromagnetic theory. In: Kronmüller H, Parkin S, eds. Handbook of Magnetism and Advanced Magnetic Materials. John Wiley & Sons, Ltd., 2007, doi: https://doi.org/10.1002/9780470022184.hmm201

    Chapter  Google Scholar 

  14. Tan X, Baras J S, Krishnaprasad P S. Fast evaluation of demagnetizing field in three-dimensional micromagnetics using multipole approximation. In: Proceedings of SPIE — The International Society for Optical Engineering, 2001, 3984: 195–201

    Google Scholar 

  15. Donahue M J. Parallelizing a micromagnetic program for use on multiprocessor shared memory computers. IEEE Transactions on Magnetics, 2009, 45(10): 3923–3925

    Article  Google Scholar 

  16. Brown W F. Magnetoelastic Interactions. New York: Springer, 1966

    Book  Google Scholar 

  17. Donahue M, Porter D. Object oriented micro-magnetic framework. Interagency Report No. NISTIR, 2006, 6376: 13

    Google Scholar 

  18. Della Torre E. Problems in physical modeling of magnetic materials. Physica B: Condensed Matter, 2004, 343(1–4): 1–9

    Article  CAS  Google Scholar 

  19. Schrefl T, Fidler J. Finite element modeling of nanocomposite magnets. IEEE Transactions on Magnetics, 1999, 35(5): 3223–3228

    Article  CAS  Google Scholar 

  20. Straumal B B, Kucheev Y O, Yatskovskaya I L, et al. Grain boundary wetting in the NdFeB-based hard magnetic alloys. Journal of Materials Science, 2012, 47(24): 8352–8359

    Article  CAS  Google Scholar 

  21. Zhou Q, Liu Z W, Zhong X C, et al. Properties improvement and structural optimization of sintered NdFeB magnets by non-rare earth compound grain boundary diffusion. Materials & Design, 2015, 86: 114–120

    Article  CAS  Google Scholar 

  22. Hono K, Sepehri-Amin H. Strategy for high-coercivity Nd-Fe-B magnets. Scripta Materialia, 2012, 67(6): 530–535

    Article  CAS  Google Scholar 

  23. Fischbacher J, Kovacs A, Exl L, et al. Searching the weakest link: Demagnetizing fields and magnetization reversal in permanent magnets. Scripta Materialia, 2018, 154: 253–258

    Article  CAS  Google Scholar 

  24. Zhou Q, Liu Z W, Zhong X C, et al. Properties improvement and structural optimization of sintered NdFeB magnets by non-rare earth compound grain boundary diffusion. Materials & Design, 2015, 86: 114–120

    Google Scholar 

  25. Hirota K, Nakamura H, Minowa T, et al. Coercivity enhancement by the grain boundary diffusion process to Nd-Fe-B sintered magnets. IEEE Transactions on Magnetics, 2006, 42(10): 2909–2911

    Article  CAS  Google Scholar 

  26. Sepehri-Amin H, Ohkubo T, Hono K. The mechanism of coercivity enhancement by the grain boundary diffusion process of Nd-Fe-B sintered magnets. Acta Materialia, 2013, 61(6): 1982–1990

    Article  CAS  Google Scholar 

  27. Akiya T, Liu J, Sepehri-Amin H, et al. Low temperature diffusion process using rare earth-Cu eutectic alloys for hot-deformed Nd- Fe-B bulk magnets. Journal of Applied Physics, 2014, 115(17): 17A766

    Article  Google Scholar 

  28. Vial F, Joly F, Nevalainen E, et al. Improvement of coercivity of sintered NdFeB permanent magnets by heat treatment. Journal of Magnetism and Magnetic Materials, 2002, 242–245: 1329–1334

    Article  Google Scholar 

  29. Chen F, Zhang T, Wang J, et al. Coercivity enhancement of a NdFeB sintered magnet by diffusion of Nd70Cu30 alloy under pressure. Scripta Materialia, 2015, 107: 38–41

    Article  CAS  Google Scholar 

  30. Li W, Zhou Q, Zhao L Z, et al. Micromagnetic simulation of anisotropic grain boundary diffusion for sintered Nd-Fe-B magnets. Journal of Magnetism and Magnetic Materials, 2018, 451: 704–709

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51774146 and 51801047) and the Guangzhou Municipal Science and Technology Program (Grant No. 201605120111410).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhongwu Liu.

Additional information

Disclosure of potential conflicts of interests The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, W., Zhao, L. & Liu, Z. Micromagnetic investigation by a simplified approach on the demagnetization field of permanent magnets with nonmagnetic phase inside. Front. Mater. Sci. 13, 323–333 (2019). https://doi.org/10.1007/s11706-019-0471-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11706-019-0471-2

Keywords

Navigation