Abstract

This work deals with the study of magnetoelastic coupling in the framework of non-destructive testing. Experimental hysteretic and cyclic piezomagnetic measurements carried out on a dual-phase steel submitted to different magnetic field and stress conditions are reported. The effect of concomitant magnetic field and stress, considering static or variable amplitudes, is discussed. A new multiscale modeling of piezomagnetic hysteresis is finally proposed.

Highlights

  • The submission of a ferromagnetic material to a magnetic field leads to a geometric distortion of the sample

  • After describing a multiscale approach of magneto-elastic couplings in a reversible framework and of associated magnetic hysteresis model, we propose a new modeling of piezomagnetic hysteresis behavior

  • When the material is submitted to an alternative magnetic field, the magnetization forms an hysteresis loop illustrating the irreversibility of the magnetic behavior and the presence of dissipative phenomena

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Summary

Introduction

The submission of a ferromagnetic material to a magnetic field leads to a geometric distortion of the sample. This deformation is called the magnetostriction strain. The application of an external mechanical stress to a ferromagnetic material, initially magnetized even faintly, leads to a significant change of magnetization. These behaviors are symptomatic of the same coupling called the piezomagnetic or Villari effect [1]. Piezomagnetic control methods have undergone recent developments [4,5] but still face modeling issues, especially when no controlled magnetic field is applied [6]. The development, the implementation and the generalization of such techniques involve, in one hand, the establishment of experiments to highlight the magnetoelastic coupling in a controlled framework, and on the other

Material
Set up and experiments
Magnetic hysteresis
Piezomagnetic hysteresis
Multiscale modeling
Gibbs free energy and reversible modeling
Numerical parameters used for modeling
Conclusion
Comparison between experimental measurements and modeling results
Homogeneous strain estimate
Self consistent estimate

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