Vibration induced magnetization

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Abstract
Brown’s theory of stress‐induced magnetization has been extended using the irreversible differential susceptibility, χirr(H), and Kondorsky’s rule beyond the Rayleigh region with the concepts of macroscopic stress field, Hσ, and reversible stress sensitivity. A graphical representation of the susceptibility integrals is given and simplified results for Rayleigh stresses confirmed experimentally for mild steel along with details of magnetization change throughout the first cycle. The fraction of stress‐active or 90 ° domain walls was determined from the fit of the data to the theory to be f = 0.61±.02 in excellent agreement with Brown’s prediction of (√2)/(1+√2) = 0.59. Continued symmetric tension/compression cycling of Rayleigh stresses generates increased magnetization equal to the p‐series times the first cycle magnetization, where p is not less than two, its value at the coercive field. Thus vibration‐induced magnetization converges rapidly, never exceeds π2/6 times the first cycle magnetization, and does not contribute to significant long term instability.

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