A micromagnetic formulation has been developed for modeling the effect of biaxial stress on magnetoelastic processes in polycrystalline steels. In particular, the formulation employs the Schneider–Cannell–Watts model and involves substitution of an effective stress equal to one of the deviatoric (i.e., distortional) normal stress components, depending on whether the field is parallel to a tensile or compressive axis or to the third axis perpendicular to the plane of biaxial stress. Computer results are compared to experimental results on the effects of biaxial stress on magnetic properties in mild steel and in SAE-4130 steel. Good qualitative agreement is found in almost all cases, in that in going from one biaxial stress case to the next, the same kinds of changes are seen magnetically. It is also shown from the model and the data that a method can be formulated to nondestructively determine the difference in biaxial stresses.
Recent interest in the theory and modeling of magnetoelastic processes has drawn upon the Preisach model of hysteresis' and the anhysteretic model'. We have extended our past work with the differential susceptibility model3 to stresses much larger than residual stress, reaching the local anhysteretic curve and the Villari reversal. Progress in this nonlinear differential magnetoelastic theory arises from the concept of local demagnetization. that is positive and negative stress-sensitive domain walls and stressinsensitive walls are attributed average local magnetization, U,. rather than global magnetization. an experimentally determined nonlinear demagnetization factor, Do, that replaces a function by Spano', and an
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