磁铁/压电双晶片复合材料磁电耦合性能的优化设计

张源; 高雁军; 胡诚; 谭兴毅; 邱达; 张婷婷; 朱永丹; 李美亚

doi:10.7498/aps.65.167501

摘要

本文采用弹性力学的方法，基于压电方程，给出了磁铁/压电双晶片（Bimorph）复合材料磁电耦合系数的理论表达式，并选取不同的结构参数和材料参数对其磁电耦合系数进行了数值计算. 研究表明：Bimorph存在最佳的压电层厚度，使得磁铁/Bimorph复合材料的磁电耦合系数达到最大；金属层材料和压电相材料也均会影响磁铁/Bimorph复合材料的磁电耦合系数. 该研究结果为磁铁/Bimorph复合材料的优化设计、实际应用提供了有益的理论指导.

关键词:

Abstract

Magnetoelectric (ME) composite as one kind of ME material that can yield a strong coupling effect between magnetic and electric fields at room temperature, has drawn widespread attention for decades due to its rich physics contents and significant technological prospect. Except for traditional magnetostrictive/piezoelectric based ME composites, other ME composites have been reported, among which the magnet/piezo-cantilever composites show super strong ME coupling effect. The magnet/piezo-cantilever composite is generally composed of a piezoelectric cantilever and magnets attached at the free end of the cantilever, which realizes ME coupling by force moment-mediated magnetic torque effect and piezoelectric effect. Recently, various configurations of the magnet/piezo-cantilever composites for obtaining higher ME coupling coefficients have been proposed and demonstrated experimentally. However, few theoretical researches of these magnet/piezo-cantilever composites of different configurations have been carried out, which is of great importance for optimizing the design of ME coupling property of the magnet/piezo-cantilever composites. Here in this paper, a theoretical expression for the low-frequency ME coupling coefficient in the magnet/piezo-cantilever composite is deduced based on piezoelectric constitutive equations by using the theory of elastic mechanics. The typical magnet/bimorph composite is chosen as the theoretical model. Based on the deduced theoretical expression, the dependences of the lowfrequency ME coupling coefficients in the magnet/bimorph composite on material and structural parameters are numerically calculated. The results show that there are optimal thickness values of the piezoelectric layers in the magnet/bimorph composite with different metal thickness values and material constituents for achieving maximal lowfrequency ME coupling coefficients. The thicker the metal layer in the magnet/bimorph composite, the less insensitive the low-frequency ME coupling coefficient to the thickness of the piezoelectric layer will be. And the low-frequency ME coupling coefficient of the magnet/bimorph composite decreases when a metal with higher elastic module is selected for bimorph. For the magnet/bimorph composite consisting of hard piezoelectric ceramics (PZT-4), the low-frequency ME coupling coefficient is higher than that of the composite consisting of the soft counterpart ones (PZT-5 H), which is due to the hard piezoelectric ceramics with higher piezoelectric voltage coefficient than the soft counterpart ones. What is more interesting is that when the piezoelectric material in the magnet/bimorph composite is changed into relaxor ferroelectric single crystals Pb(Zn1/3 Nb2/3)O3-PbTiO3 (PZN-PT), an extremely high low-frequency ME coupling coefficient can be obtained, which is 3.8 and 5 times those of the 13 composites with hard and soft piezoelectric ceramics, respectively. This research gives a theoretical guidance for optimal design and practical applications of the magnet/Bimorph composite.

Keywords:

作者及机构信息

1.
湖北民族学院理学院, 恩施 445000;

2.
武汉大学物理科学与技术学院, 武汉 430072

通信作者: 朱永丹, yongdan_zhu@whu.edu.cn;myli@whu.edu.cn ; 李美亚, yongdan_zhu@whu.edu.cn;myli@whu.edu.cn

基金项目: 国家自然科学基金重点项目（批准号：51132001）、国家自然科学基金（批准号：11504101，11364018，51372174，J1210061）、湖北省自然科学基金（批准号：2014CFB610）和湖北省青年创新团队基金（批准号：T201429）资助的课题.

Authors and contacts

1.
School of Science, Hubei University for Nationalities, Enshi 445000, China;

2.
School of Physics and Technology, Wuhan University, Wuhan 430072, China

Corresponding author: Zhu Yong-Dan, yongdan_zhu@whu.edu.cn;myli@whu.edu.cn ; Li Mei-Ya, yongdan_zhu@whu.edu.cn;myli@whu.edu.cn

Funds: Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 51132001), the National Natural Science Foundation of China (Grant Nos. 11504101, 11364018, 51372174, J1210061), the Natural Science Foundation of Hubei Province, China (Grant No. 2014CFB610), and the Excellent Young Innovation Team Project of Hubei Province, China (Grant No. T201429).

参考文献

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[30]	Radchenko G S, Radchenko M G 2014 Tech. Phys. 50 1457
[31]	Liu G X, Ci P H, Dong S X 2014 J. Appl. Phys. 115 164104
[32]	Luan G D, Zhang J D, Wang R Q 2005 Piezoelectric Transducers and Arrays (Revised Edition) (Beijing: Peking Univ. Press) p93 (in Chinese) [栾桂冬, 张金铎, 王仁乾 2005 压电换能器和换能器阵 (修订版) (北京: 北京大学出版社) 第93页]
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施引文献

[1]	Nan C W, Bichurin M I, Dong S X, Viehland D, Srinivasan G 2008 J. Appl. Phys. 103 031101
[2]	Ma J, Hu J M, Li Z, Nan C W 2011 Adv. Mater. 23 1062
[3]	Dong S X, Zhai J Y, Bai F M, Li J F, Viehland D 2005 Appl. Phys. Lett. 87 062502
[4]	Dong S X, Zhai J Y, Xing Z P, Li J F, Viehland D 2005 Appl. Phys. Lett. 86 102901
[5]	Gao J, Shen L, Wang Y, Gray D, Li J F, Viehland D 2011 J. Appl. Phys. 109 074507
[6]	Leung C M, Or S W, Ho S L 2013 Rev. Sci. Instrum. 84 125003
[7]	Jia Y M, Xue A X, Zhou Z H, Wu Z, Chen J R, Ma K, Zhang Y H, Zhou J Y, Wang Y, Chan H L W 2013 Int. J. Hydrogen Energy. 38 14915
[8]	Yu X J, Wu T Y, Li Z 2013 Acta Phys. Sin. 62 058503 (in Chinese) [于歆杰, 吴天逸, 李臻 2013 物理学报 62 058503]
[9]	Fetisov Y K, Srinivasan G 2005 Electron. Lett. 41 1066
[10]	Tatarenko A S, Srinivasan G, Bichurin M I 2006 Appl. Phys. Lett. 88 183507
[11]	Lou J, Reed D, Liu M, Sun N X 2009 Appl. Phys. Lett. 94 112508
[12]	Li Z, Wang J, Lin Y, Nan C W 2010 Appl. Phys. Lett. 96 162505
[13]	Hu J M, Li Z, Chen L Q, Nan C W 2011 Nat. Commun. 2 553
[14]	Astrov D 1961 Sov. Phys. JETP 13 729
[15]	Folen V, Rado G, Stalder E 1961 Phys. Rev. Lett. 6 607
[16]	Wang J, Neaton J B, Zheng H, Nagarajan V, Ogale S B, Liu B, Viehland D, Vaithyanathan V, Schlom D G, Waghmare U V, Spaldin N A, Rabe K M, Wuttig M, Ramesh R 2003 Science 299 1719
[17]	Nan C W 1994 Phys. Rev. B: Condens. Matter 50 6082
[18]	Priya S, Islam R, Dong S X, Viehland D 2007 J. Electroceram. 19 149
[19]	Ryu J, Priya S, Carazo A V, Uchino K, Kim H E 2001 J. Am. Ceram. Soc. 84 2905
[20]	Ryu J, Carazo A V, Uchino K, Kim H E 2001 J. Appl. Phys. 40 4948
[21]	Srinivasan G 2010 Annu. Rev. Mater. Res. 40 153
[22]	Kirchhof C, Krantz M, Teliban I, Jahns R, Marauska S, Wagner B, Knöchel R, Gerken M, Meyners D, Quandt E 2013 Appl. Phys. Lett. 102 232905
[23]	Leung C M, Or S W, Ho S L, Lee K Y 2014 IEEE Sens. J. 14 4305
[24]	Jia Y M, Zhou D, Luo L H, Zhao X Y, Luo H S, Or S W, Chan H L W 2007 Appl. Phys. A 89 1025
[25]	Lu S G, Fang Z, Furman E, Wang Y, Zhang Q M, Mudryk Y, Gschneidner K A, Pecharsky V K, Nan C W 2010 Appl. Phys. Lett. 96 102902
[26]	Xing Z P, Li J F, Viehland D 2008 Appl. Phys. Lett. 93 013505
[27]	Xing Z P, Xu K, Dai G Y, Li J F, Viehland D 2011 J. Appl. Phys. 110 104510
[28]	Xing Z P, Xu K 2013 Sens. Actuators A 189 182
[29]	Liu G X, Li X T, Chen J G, Shi H D, Xiao W L, Dong S X 2012 Appl. Phys. Lett. 101 142904
[30]	Radchenko G S, Radchenko M G 2014 Tech. Phys. 50 1457
[31]	Liu G X, Ci P H, Dong S X 2014 J. Appl. Phys. 115 164104
[32]	Luan G D, Zhang J D, Wang R Q 2005 Piezoelectric Transducers and Arrays (Revised Edition) (Beijing: Peking Univ. Press) p93 (in Chinese) [栾桂冬, 张金铎, 王仁乾 2005 压电换能器和换能器阵 (修订版) (北京: 北京大学出版社) 第93页]
[33]	Zhang R, Jiang B, Jiang W H, Cao W W 2006 Appl. Phys. Lett. 89 242908

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