Theoretical investigation of magnetoelectric effect in multilayer magnetoelectric composites
Theoretical investigation of magnetoelectric effect in multilayer magnetoelectric composites
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DOI：
10.1016/j.compstruct.2014.09.049
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发表时间：
2015
影响因子：
6.3
通讯作者：
Guoliang Yu;Huaiwu Zhang;F. Bai;Yuanxun Li;Jie Li
中科院分区：
文献类型：
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作者：
Guoliang Yu;Huaiwu Zhang;F. Bai;Yuanxun Li;Jie Li
本文的目的是在自由-自由边界条件下建立由磁致伸缩层、压电层和弹性基底层组成的任意磁-弹-电多层膜的数学模型。建立了一个与磁电响应驱动频率相对应的弯拉耦合振动动力学理论。在所提出的模型中，应力，应变和样品堆内的磁场，电场的厚度依赖性的影响被考虑在内。基于磁致伸缩、压电和弹性本构方程，得到了微机电电压系数随驱动频率的变化规律。作为示范，给出了磁场激励平行、电极化垂直于多层膜的Terfenol-D/PZT/Si材料系统的数值结果，该系统由双层Terfenol-D/PZT置于Si弹性衬底上构成。建立了此类结构静力电磁响应的理论模型。在此基础上，对ME响应进行了计算和讨论。我们的研究结果表明，在静态和谐振ME响应，层序列，压电分数和基板厚度的尺寸参数基本上决定了ME电压系数。此外，还研究了负载阻抗对磁电耦合系数的影响。
The aim of this paper is the modeling of an arbitrary magneto–elasto-electric multilayer constitute by magnetostrictive, piezoelectric and elastic substrate layers under free–free boundary conditions. A dynamic theory corresponding to the driving frequency of magnetoelectric (ME) response coupled flexural and extensional oscillations was constructed. In the proposed model, the influence of thickness dependence of stress, strain and magnetic, electric fields within a sample stack are taken into account. The results of ME voltage coefficient dependent on driving frequency are obtained based on magnetostrictive, piezoelectric and elastic constitutive equations. As a demonstration, the numerical results are given for the Terfenol-D/PZT/Si material system with magnetic field excitation parallel and electric polarization perpendicular to the multilayer, which constituted by bilayer Terfenol-D/PZT placed on a Si elastic substrate. The theoretical model for static ME response in such structures is also established. Based on the model, some calculations on ME response are conducted and discussed. Our results show that in both the static and resonant ME response, the dimensional parameters of the layer sequence, piezoelectric fraction and substrate thickness essentially determined the ME voltage coefficient. Furthermore, the influences of load impedance on the magnetoelectric coupling coefficients are also investigated.