Phenomenological Model of Barkhausen Noise Under Mechanical and Magnetic Excitations

Post-treatment and rescaling is made possible to plot local hysteresis cycles from the measurement of local magnetic Barkhausen noise (BN). If the material is homogeneous and if similar excitation conditions are imposed, the local hysteresis cycles obtained are comparable to the classical magnetic hysteresis cycles B(H) (the cross section magnetic average induction B as a function of the surface tangential excitation field H). These local BN hysteresis cycles provide interesting clues about the evolution of the microstructure of the magnetic material (internal stresses, level of degradation, etc.). This makes it an interesting tool for the non-destructive evaluation of ferromagnetic steels. In this paper, a phenomenological modeling of the BN from the local modeling of B subjected to an excitation field H and/or a uniaxial mechanical stress T is proposed. The final objective is to provide an absolute quantification of the internal residual stresses from the BN measurements.