“…Dapino and Smith et al had also done many works to develop models that can describe the response of magnetostrictive transducers to applied magnetic fields considering the growing interest in giant magnetostrictive materials in smart structure systems. Here, the magnetic behavior is characterized by considering the Jiles-Atherton mean field theory for ferromagnetic hysteresis in combination with a quadratic moment rotation model for magnetostriction; elastic property is modeled by force balancing, which yields a wave equation with magnetostrictive inputs [20,21]. The effect of stress on the magnetization of the magnetostrictive core, or the magneto-mechanical effect, is implemented by considering a 'law of approach' to the anhysteretic magnetization caused by stress [22].…”