A model is presented for the stress-dependent effective field, which when used in conjunction with the Jiles–Atherton theory, qualitatively accounts for (1) the change in slope and shape of the hysteresis curves with uniaxial stress and (2) the convexity of the curves depicting remanent and peak magnetization as a function of stress. Also, the model can produce the Villari reversal if parameters are selected appropriately.

A simple model used previously by the authors to explain stress variation of magnetic hysteresis is now employed to explain the effect of stress on the amplitudes of the first-and third-order harmonics of the magnetic induction signal resulting from application of an ac magnetic field onow frequency to a steel specimen. An improved expression for the effective field contribution Ha due to stress has been derived from thermodynamic considerations.

Articles you may be interested inStress hysteresis and temperature dependence of phase transition stress in nanostructured NiTi-Effects of grain size Appl. Phys. Lett. 103, 021902 (2013); 10.1063/1.4812643 Effect of stress on the shape of ferromagnetic hysteresis loops J. Appl. Phys. 97, 10E503 (2005); 10.1063/1.1846451 Modeling the effect of grain size and dislocation density on hysteretic magnetic properties in steels Influence of the grain size distribution on the ferromagnetic hysteresis loop (abstract) J. Appl. Phys. 57, 4201 (1985); 10.1063/1.334612 Analytical prediction of the magnetization curve and the ferromagnetic hysteresis loop J.Effects of grain size, hardness, and stress on the magnetic hysteresis loops of AISI 410 stainless steel and SAE 4340 steel specimens were investigated experimentally. It was observed that both hardness and stress significantly influenced the hysteresis loops, while the grain size had a minimal effect. For each material, the mechanically harder specimen was more difficult to magnetize. Upon application of uniaxial stress, the magnetic induction increased under tension and decreased under compression, with the sides of the hysteresis loops becoming inclined more toward the vertical axis under tension and the horizontal axis under compression. For each material, the effects of stress on the hysteresis loops were greater for the mechanically softer specimen and exhibited an inverse relationship to the hardness. The effects of stress were not dependent on grain size.

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