A combined Preisach-Hyperbolic Tangent model for magnetic hysteresis of Terfenol-D

Soheil Talebian, Yousef Hojjat*, Mojtaba Ghodsi, Mohammad Reza Karafi, Shahed Mirzamohammadi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


Abstract This study presents a new model using the combination of Preisach and Hyperbolic Tangent models, to predict the magnetic hysteresis of Terfenol-D at different frequencies. Initially, a proper experimental setup was fabricated and used to obtain different magnetic hysteresis curves of Terfenol-D; such as major, minor and reversal loops. Then, it was shown that the Hyperbolic Tangent model is precisely capable of modeling the magnetic hysteresis of the Terfenol-D for both rate-independent and rate-dependent cases. Empirical equations were proposed with respect to magnetic field frequency which can calculate the non-dimensional coefficients needed by the model. These empirical equations were validated at new frequencies of 100 Hz and 300 Hz. Finally, the new model was developed through the combination of Preisach and Hyperbolic Tangent models. In the combined model, analytical relations of the Hyperbolic Tangent model for the first order reversal loops determined the weighting function of the Preisach model. This model reduces the required experiments and errors due to numerical differentiations generally needed for characterization of the Preisach function. In addition, it can predict the rate-dependent hysteresis as well as rate-independent hysteresis.

Original languageEnglish
Article number60488
Pages (from-to)38-47
Number of pages10
JournalJournal of Magnetism and Magnetic Materials
Publication statusPublished - Oct 10 2015


  • Hyperbolic Tangent model
  • Magnetic hysteresis
  • Preisach model
  • Terfenol-D

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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