Abstract
Based on the tri-layer symmetrical magnetoelectric laminates, a equivalent circuit for the nonlinear resonance converse magnetoelectric coupling effect is established. Because the nonlinear thermo-magneto-mechanical constitutive equations of magnetostrictive material were introduced, a converse magnetoelectric coefficient model was derived from the equivalent circuit, which can describe the influence of bias electric field, bias magnetic field and ambient temperature on the resonance converse magnetoelectric coupling effect. Especially, the model can well predict the modulation effect of bias electric field/voltage on the magnetism of magnetoelectric composite or the converse magnetoelectric coefficient, which is absolutely vital in applications. Both of the converse magnetoelectric coefficient and the resonance frequency predicted by the model have good agreements with the existing experimental results in qualitatively and quantitatively, and the validity of the model is confirmed. On this basis, according to the model, the nonlinear trends of the resonance converse magnetoelectric effect under different bias voltages, bias magnetic fields and ambient temperatures are predicted. From the results, it can be found that the bias voltage can effectively modulate the curve of the resonance converse magnetoelectric coefficient versus bias magnetic field, and then change the corresponding optimal bias magnetic field of the maximum converse magnetoelectric coefficient; with the increasing volume ratio of piezoelectric layers, the modulation effect of bias voltage becomes more obvious; under different bias magnetic fields, the modulation effect of bias voltage on the converse magnetoelectric effect has nonvolatility in a wide temperature region.
Highlights
The magnetoelectric coupling effects in magnetoelectric composites include the direct magnetoelectric effect and the converse magnetoelectric effect
For the tri-layer symmetrical magnetoelectric composite, a model of nonlinear resonance converse magnetoelectric coupling effect is established, which can clearly describe the influence of bias voltage, bias magnetic field and ambient temperature
According to the model, it is discussed that the complex influence of bias voltage, bias magnetic field and temperature on the converse magnetoelectric coefficient in detail
Summary
Hockel et al.[27] reported that the converse magnetoelectric coefficient increased 400% when a bias voltage of 700V was applied to the PZT/Terfenol-D/PZT tri-layer symmetrical composite. After that, based on the tri-layer magnetoelectric laminates, Zhou and Li et al.[33] established an equivalent circuit model of the nonlinear static converse magnetoelectric effect, which can predict the influence of temperature, pre-stress and bias magnetic field on the static converse magnetoelectric effect. An equivalent circuit of resonance converse magnetoelectric effect is established for the piezoelectric/magnetostrictive/piezoelectric tri-layer symmetrical magnetoelectric composite through introducing a more concise nonlinear magneto-thermo-mechanical coupling constitutive model. The complex effects of bias voltage, bias magnetic field and ambient temperature on the resonance converse magnetoelectric coefficient were analyzed in detail.
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