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Magnetoelectric (ME) composites have recently attracted much attention and triggered a great number of research activities, owing to their potential applications in sensors and transducers. Many researches have focused on the enhancement of ME coefficient by choosing suitable composite material and vibration mode based on the coupling between stress and strain. Besides normal stress, another vibration mode, shear mode, is further discussed as a potential high-frequency resonant device for a high frequency magnetic field detector, and it is useful to optimize the shear ME coefficient to broaden the application scope of the compositions. In this paper, an elasticity method is used to calculate ME coefficients of thickness shear mode LiNbO3/magnetostrictive laminated composites for various crystal orientations of LiNbO3, magnetostrictive materials and material sizes. The stretch-shear structure and shear-shear modes of the composite with considering the boundary condition are both discussed and further optimized. According to the structure design of stretch-shear mode composite from the literature, we design a new structure to achieve the uniform and pure shear ME effect, which changes the magnetostrictive phase on the bonding part into rigid material to avoid stretch deformation. We find that in the shear-shear ME composite, the structure should not move in the in-plane direction in order to realize the parallelogram deformation under shear stress, but should be free in the thickness direction to meet the change of thickness with shear deformation. For the stretch-shear mode Metglas/LiNbO3 [(xzlt) x/y], the shear ME coefficient E15 as a function of orientation of LiNbO3 shows that the maximum E15 is 235.1 mV/(cmOe) when x=0 and y=30. The results indicate that optimal shear ME coefficient is obtained at (xzt) 30 LiNbO3, resulting from the maximum shear piezoelectric coefficient dp15. By changing the material size in stretch-shear composite, the shear ME coefficient increases with the increase of thickness of magnetostrictive phase, because the stretch force increases with the increase of the cross-sectional area of magnetostrictive phase. The maximum values of E15 are, respectively, 24.13 V/(cmOe) in the stretch-shear mode Terfenol-D/LiNbO3 and 11.46 V/(cmOe) in the shear-shear mode Metglas/LiNbO3 by the optimization of material sizes. Experimental results are in accordance with calculation results. It is confirmed that LiNbO3 (xzt) 30 is the best choice for achieving the largest shear ME effect, and thicker Terfenol-D can help to achieve a larger ME coefficient in this stretch-shear composite. This work provides a design method to choose the structure and crystal orientation of shear LiNbO3-based ME laminated composite, which shows a prospect of applications in high-mechanical-quality factor Qm and high-frequency magnetic detectors with shear resonant devices.
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Keywords:
- thickness shear mode /
- LiNbO3 /
- magnetoelectric composite structure
[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] Ma J, Shi Z, Lin Y H, Nan C W 2009 Acta Phys. Sin. 58 5852 (in Chinese) [马静, 施展, 林元华, 南策文 2009 58 5852]
[4] Zhou J P, Shi Z, Liu G, He H C, Nan C W 2006 Acta Phys. Sin. 55 3766 (in Chinese) [周剑平, 施展, 刘刚, 何泓材, 南策文 2006 55 3766]
[5] Shi Z, Nan C W 2004 Acta Phys. Sin. 53 2766 (in Chinese) [施展, 南策文 2004 53 2766]
[6] Jia Y M, Luo H S, Zhao X Y, Wang F F 2008 Adv. Mater. 20 4776
[7] Li P, Wen Y M, Bian L X 2007 Appl. Phys. Lett. 90 022503
[8] Bi K, Wang Y G, Pan D A, Wu W 2011 J. Mater. Res. 26 2707
[9] Li L, Chen X M, Zhu H Y 2012 J. Alloys Compd. 526 116
[10] Zeng L Y, Zhou M H, Bi K, Lei M 2016 J. Appl. Phys. 119 034102
[11] Zhai J Y, Xing Z P, Dong S X, Li J F, Viehland D 2008 J. Am. Ceram. Soc. 91 351
[12] Chashin D V, Fetisov Y K, Tafintseva E V, Srinivasan G 2008 Solid State Commun. 148 55
[13] Wen Y M, Wang D, Li P, Chen L, Wu Z Y 2011 Acta Phys. Sin. 60 097506 (in Chinese) [文玉梅, 王东, 李平, 陈蕾, 吴治峄 2011 60 097506]
[14] Weis R S, Gaylord T K 1985 Appl. Phys. A 37 191
[15] Wang Y, Jiang Y J 2003 Opt. Mater. 23 403
[16] Kuo H Y, Slinger A, Bhattacharya K 2010 Smart Mater. Struct. 19 125010
[17] Ma J, Shi Z, Nan C W 2007 Adv. Mater. 19 2571
[18] Bi K, Ai Q W, Yang L, Wu W, Wang Y G 2011 Acta Phys. Sin. 60 057503 (in Chinese) [毕科, 艾迁伟, 杨路, 吴玮, 王寅岗 2011 60 057503]
[19] Wan H, Xie L Q, Wu X Z, Liu X C 2005 Acta Phys. Sin. 54 3872 (in Chinese) [万红, 谢立强, 吴学忠, 刘希从 2005 54 3872]
[20] Bichurin M I, Petrov R V, Petrov V M 2013 Appl. Phys. Lett. 103 092902
[21] Wang Y J, Hasanyan D, Li J F, Viehland D, Luo H S 2012 Appl. Phys. Lett. 100 202903
[22] Zhang J T, Li P, Wen Y M, He W, Yang A C, Lu C J 2014 Sens. Actuator A: Phys. 214 149
[23] Liu G X, Zhang C L, Dong S X 2014 J. Appl. Phys. 116 074104
[24] Lu M C, Mei L, Jeong D Y, Xiang J, Xie H Q, Zhang Q M 2015 Appl. Phys. Lett. 106 112905
[25] Meeks S W, Hill J C 1983 J. Appl. Phys. 54 6584
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[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] Ma J, Shi Z, Lin Y H, Nan C W 2009 Acta Phys. Sin. 58 5852 (in Chinese) [马静, 施展, 林元华, 南策文 2009 58 5852]
[4] Zhou J P, Shi Z, Liu G, He H C, Nan C W 2006 Acta Phys. Sin. 55 3766 (in Chinese) [周剑平, 施展, 刘刚, 何泓材, 南策文 2006 55 3766]
[5] Shi Z, Nan C W 2004 Acta Phys. Sin. 53 2766 (in Chinese) [施展, 南策文 2004 53 2766]
[6] Jia Y M, Luo H S, Zhao X Y, Wang F F 2008 Adv. Mater. 20 4776
[7] Li P, Wen Y M, Bian L X 2007 Appl. Phys. Lett. 90 022503
[8] Bi K, Wang Y G, Pan D A, Wu W 2011 J. Mater. Res. 26 2707
[9] Li L, Chen X M, Zhu H Y 2012 J. Alloys Compd. 526 116
[10] Zeng L Y, Zhou M H, Bi K, Lei M 2016 J. Appl. Phys. 119 034102
[11] Zhai J Y, Xing Z P, Dong S X, Li J F, Viehland D 2008 J. Am. Ceram. Soc. 91 351
[12] Chashin D V, Fetisov Y K, Tafintseva E V, Srinivasan G 2008 Solid State Commun. 148 55
[13] Wen Y M, Wang D, Li P, Chen L, Wu Z Y 2011 Acta Phys. Sin. 60 097506 (in Chinese) [文玉梅, 王东, 李平, 陈蕾, 吴治峄 2011 60 097506]
[14] Weis R S, Gaylord T K 1985 Appl. Phys. A 37 191
[15] Wang Y, Jiang Y J 2003 Opt. Mater. 23 403
[16] Kuo H Y, Slinger A, Bhattacharya K 2010 Smart Mater. Struct. 19 125010
[17] Ma J, Shi Z, Nan C W 2007 Adv. Mater. 19 2571
[18] Bi K, Ai Q W, Yang L, Wu W, Wang Y G 2011 Acta Phys. Sin. 60 057503 (in Chinese) [毕科, 艾迁伟, 杨路, 吴玮, 王寅岗 2011 60 057503]
[19] Wan H, Xie L Q, Wu X Z, Liu X C 2005 Acta Phys. Sin. 54 3872 (in Chinese) [万红, 谢立强, 吴学忠, 刘希从 2005 54 3872]
[20] Bichurin M I, Petrov R V, Petrov V M 2013 Appl. Phys. Lett. 103 092902
[21] Wang Y J, Hasanyan D, Li J F, Viehland D, Luo H S 2012 Appl. Phys. Lett. 100 202903
[22] Zhang J T, Li P, Wen Y M, He W, Yang A C, Lu C J 2014 Sens. Actuator A: Phys. 214 149
[23] Liu G X, Zhang C L, Dong S X 2014 J. Appl. Phys. 116 074104
[24] Lu M C, Mei L, Jeong D Y, Xiang J, Xie H Q, Zhang Q M 2015 Appl. Phys. Lett. 106 112905
[25] Meeks S W, Hill J C 1983 J. Appl. Phys. 54 6584
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