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Mesohysteresis model for ferromagnetic materials by minimization of the micromagnetic free energy

Author
Organization
Abstract
To study the connection between macroscopic hysteretic behavior and the microstructural properties, this paper presents and validates a new material dependent three-dimensional mesoscopic magnetic hysteresis model. In the presented mesoscopic description, the different micromagnetic energy terms are reformulated on the space scale of the magnetic domains. The sample is discretized in cubic cells, each with a local stress state, local bcc crystallographic axes, etc. The magnetization is assumed to align with one of the three crystallographic axes, in positive or negative sense, defining six volume fractions within each cell. The micromagnetic Gibbs free energy is described in terms of these volume fractions. Hysteresis loops are computed by minimizing the mesoscopic Gibbs free energy using a modified gradient search for a sequence of external applied fields. To validate the mesohysteresis model, we studied the magnetic memory properties. Numerical experiments reveal that (1) minor hysteresis loops are indeed closed and (2) the closed minor loops are erased from the memory.
Keywords
ferromagnetic materials, microstructure, magnetic domains, 3D mesoscopic magnetic hysteresis model, magnetization, bcc crystallographic axes, magnetic hysteresis loops, micromagnetic Gibbs free energy, magnetic memory properties

Citation

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MLA
van den Berg, Adinda et al. “Mesohysteresis Model for Ferromagnetic Materials by Minimization of the Micromagnetic Free Energy.” Ed. D.C. Jiles. JOURNAL OF APPLIED PHYSICS 105.7 (2009): n. pag. Print.
APA
van den Berg, A., Dupré, L., Van de Wiele, B., & Crevecoeur, G. (2009). Mesohysteresis model for ferromagnetic materials by minimization of the micromagnetic free energy. (D. C. Jiles, Ed.)JOURNAL OF APPLIED PHYSICS, 105(7). Presented at the 53rd Annual Conference on Magnetism and Magnetic Materials.
Chicago author-date
van den Berg, Adinda, Luc Dupré, Ben Van de Wiele, and Guillaume Crevecoeur. 2009. “Mesohysteresis Model for Ferromagnetic Materials by Minimization of the Micromagnetic Free Energy.” Ed. D.C. Jiles. Journal of Applied Physics 105 (7).
Chicago author-date (all authors)
van den Berg, Adinda, Luc Dupré, Ben Van de Wiele, and Guillaume Crevecoeur. 2009. “Mesohysteresis Model for Ferromagnetic Materials by Minimization of the Micromagnetic Free Energy.” Ed. D.C. Jiles. Journal of Applied Physics 105 (7).
Vancouver
1.
van den Berg A, Dupré L, Van de Wiele B, Crevecoeur G. Mesohysteresis model for ferromagnetic materials by minimization of the micromagnetic free energy. Jiles DC, editor. JOURNAL OF APPLIED PHYSICS. 2 HUNTINGTON QUADRANGLE, STE 1 N O 1, MELVILLE, NY 11747-4501 USA: AMER INST PHYSICS, CIRCULATION & FULFILLMENT DIV; 2009;105(7).
IEEE
[1]
A. van den Berg, L. Dupré, B. Van de Wiele, and G. Crevecoeur, “Mesohysteresis model for ferromagnetic materials by minimization of the micromagnetic free energy,” JOURNAL OF APPLIED PHYSICS, vol. 105, no. 7, 2009.
@article{727006,
  abstract     = {To study the connection between macroscopic hysteretic behavior and the microstructural properties, this paper presents and validates a new material dependent three-dimensional mesoscopic magnetic hysteresis model. In the presented mesoscopic description, the different micromagnetic energy terms are reformulated on the space scale of the magnetic domains. The sample is discretized in cubic cells, each with a local stress state, local bcc crystallographic axes, etc. The magnetization is assumed to align with one of the three crystallographic axes, in positive or negative sense, defining six volume fractions within each cell. The micromagnetic Gibbs free energy is described in terms of these volume fractions. Hysteresis loops are computed by minimizing the mesoscopic Gibbs free energy using a modified gradient search for a sequence of external applied fields. To validate the mesohysteresis model, we studied the magnetic memory properties. Numerical experiments reveal that (1) minor hysteresis loops are indeed closed and (2) the closed minor loops are erased from the memory.},
  author       = {van den Berg, Adinda and Dupré, Luc and Van de Wiele, Ben and Crevecoeur, Guillaume},
  editor       = {Jiles, D.C.},
  issn         = {0021-8979},
  journal      = {JOURNAL OF APPLIED PHYSICS},
  keywords     = {ferromagnetic materials,microstructure,magnetic domains,3D mesoscopic magnetic hysteresis model,magnetization,bcc crystallographic axes,magnetic hysteresis loops,micromagnetic Gibbs free energy,magnetic memory properties},
  language     = {eng},
  location     = {Austin, Texas},
  number       = {7},
  publisher    = {AMER INST PHYSICS, CIRCULATION & FULFILLMENT DIV},
  title        = {Mesohysteresis model for ferromagnetic materials by minimization of the micromagnetic free energy},
  url          = {http://dx.doi.org/10.1063/1.3068010},
  volume       = {105},
  year         = {2009},
}

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