Magnetoelasticity for large stresses

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Abstract
A model of magnetoelasticity based on the differential susceptibility, the stress effective magnetic field and stress demagnetization in conjunction with appropriate rules of hysteresis is presented and compared to experimental data for high strength steels for several magnetoelastic processes, including H-sigma-sigma-BAR, HH-sigma-sigma-BAR, sigma-H, and sigma-sigma-H-BAR, where symbols indicate the order of application and removal of stress and field. We observe a decrease in stress effectiveness and define a saturation anisotropy factor which decreases from unity in the Rayleigh region to less than one half for our values of stress and field. The model also predicts the stressed saturate hysteresis loop and equilibrium near the anhysteretic curve and enables understanding of the Villari reversal of magnetoelastic sensitivity.