PHENOMENOLOGICAL MODEL FOR MAGNETIZATION, MAGNETOSTRICTION AND DELTA-E EFFECT IN FIELD-ANNEALED AMORPHOUS RIBBONS

A mathematical model is proposed for an amorphous magnetic ribbon that has been field-annealed in the ribbon plane at an arbitrary angle to the ribbon axis. The model includes the effects of uniaxial anisotropy, magnetostatic energy, magnetostatic energy and domain wall energy, which are minimized to obtain the equilibrium state. From the resulting equations the magnetization, engineering magnetostriction and Young's modulus may be derived as functions of applied field and system parameters. These parameters are mostly found directly from experimental data. Explicit expressions are presented for the quantities of greatest interest in device applications, together with graphs showing typical results. The assumption of single values for the system parameters leads to features in the derived magnetic properties that are not observed experimentally, and it is suggested that using distributions for one or more parameters may allow these features to be more satisfactorily modelled. © 1990.