Abstract: The growing interest in giant magnetostrictive materials for generation of strains in smart structure systems motivates the development of increasingly accurate performance prediction and optimization tools. We propose a model for the strains generated by magnetostrictive materials in response to applied magnetic fields. The direct or magnetostrictive effect is modeled by considering active and passive components of the strain. The active or external component, associated with the alignment of magnetic moments with the external magnetic field, is modeled with a ferromagnetic hysteresis model in combination with a quartic magnetostriction law. The passive or internal component, associated with the elastic response of the transducer materials as they vibrate, is modeled through force balancing which yields a wave equation with magnetostrictive inputs. The effect of stress on the magnetization of the magnetostrictive core, or the magnetomechanical effect, is implemented by considering a `law of approach' to the anhysteretic magnetization caused by stress. This provides a representation of the bi-directional coupling between the magnetic and elastic states. It is demonstrated that the model accurately characterizes the magnetic hysteresis and the strains output by a prototyping transducer.!20
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