Evaluation of Magnetic-Mechanical Coupling Behavior of Multiphase Magnetostrictive Materials

  • Xingjun Wang
  • Ying HuangEmail author
  • Thomas M. Michelitsch
Original Paper


An online control by the magnetic method is considered as a nondestructive evaluation approach to detect the variation of the microstructure. The magnetic model used for each phase is based on a magneto-mechanical coupling model, which is characterized, on the one hand, by the influence of applied field on the magnetic susceptibility and magnetostriction; on the other hand, it is characterized by the effect of mechanical stress on magnetization of a material. In order to predict the macroscopic behavior correctly, this model takes not only account for the multiphased state of dual-phase steels for each phase separately but also for the heterogeneity of stress and magnetic field through a self-consistent localization-homogenization scheme. The proposed multiscale approach is based on the hypothesis of domain energy balance, including the localization step, the local constitutive law application, evaluation of the volumetric fraction of martensite, and the homogenization step. Results are discussed and compared with experimental data from the literature.


Magnetostrictive materials Dual-phase steel Magneto-mechanical coupling Multiscale method 


Funding Information

The presented work was supported by the Fundamental Research Funds for the Central Universities (lzujbky-2019-22) and the Overseas Personnel Science and Technology Activities Project Merit Funding ((2016) 176).


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Xingjun Wang
    • 1
    • 2
  • Ying Huang
    • 3
    • 4
    Email author
  • Thomas M. Michelitsch
    • 4
  1. 1.Key Laboratory of Modern Power System Simulation and Control & Renewable Energy TechnologyMinistry of Education(Northeast Electric Power University)JilinChina
  2. 2.Key Laboratory of Mechanics on Disaster and Environment in Western China, the College of Civil Engineering and MechanicsLanzhou UniversityLanzhouChina
  3. 3.School of Aviation EngineeringTaizhou UniversityTaizhouChina
  4. 4.Institut Jean le Rond d’AlembertSorbonne Universités, Université Pierre et Marie Curie, Paris 6Paris Cedex 05France

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