Propagation behavior of SH waves in a piezomagnetic substrate with an orthorhombic piezoelectric layer

doi:10.1007/s10483-018-2295-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (2): 207-218.doi: https://doi.org/10.1007/s10483-018-2295-6

Propagation behavior of SH waves in a piezomagnetic substrate with an orthorhombic piezoelectric layer

Yanping KONG¹, Ruomeng TIAN², Jie XU³, Jinxi LIU¹

1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
2. Department of Civil Engineering, Shijiazhuang Tiedao University Sifang College, Shijiazhuang 051132, China;
3. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian 116024, Liaoning Province, China

收稿日期:2017-04-01 修回日期:2017-08-04 出版日期:2018-02-01 发布日期:2018-02-01
通讯作者: Jinxi LIU E-mail:liujx02@hotmail.com
基金资助:
Project supported by the National Natural Science Foundation of China (No.11272222) and the Key Project of Hebei Provincial Education Department of China (No. ZD2017072)

Propagation behavior of SH waves in a piezomagnetic substrate with an orthorhombic piezoelectric layer

Yanping KONG¹, Ruomeng TIAN², Jie XU³, Jinxi LIU¹

1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
2. Department of Civil Engineering, Shijiazhuang Tiedao University Sifang College, Shijiazhuang 051132, China;
3. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian 116024, Liaoning Province, China

Received:2017-04-01 Revised:2017-08-04 Online:2018-02-01 Published:2018-02-01
Contact: Jinxi LIU E-mail:liujx02@hotmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (No.11272222) and the Key Project of Hebei Provincial Education Department of China (No. ZD2017072)

摘要/Abstract

摘要： The dispersion behavior of the shear horizontal (SH) waves in the coupled structure consisting of a piezomagnetic substrate and an orthorhombic piezoelectric layer is investigated with different cut orientations. The surface of the piezoelectric layer is mechanically free, electrically shorted, or open, while the surface of the piezomagnetic substrate is mechanically free, magnetically open, or shorted. The dispersion relations are derived for four electromagnetic boundary conditions. The dispersion characteristics are graphically illustrated for the layered structure with the PMN-PT layer perfectly bonded on the CoFe₂O₄ substrate. The effects of the PMN-PT cut orientations, the electromagnetic boundary conditions, and the thickness ratio of the layer to the substrate on the dispersion behavior are analyzed and discussed in detail. The results show that, (i) the effect of the cut orientation on the dispersion curves is very obvious, (ii) the electrical boundary conditions of the PMN-PT layer dominate the propagation feature of the SH waves, and (iii) the thickness ratio has a significant effect on the phase velocity when the wave number is small. The results of the present paper can provide valuable theoretical references to the applications of piezoelectric/piezomagnectic structure in acoustic wave devices.

关键词: tensor equation, hi-spatial tensor, square tensor-product, PMN-PT single crystal, piezomagnetic material, dispersion relation, shear horizontal (SH) wave, orthorhombic piezoelectric material

Abstract: The dispersion behavior of the shear horizontal (SH) waves in the coupled structure consisting of a piezomagnetic substrate and an orthorhombic piezoelectric layer is investigated with different cut orientations. The surface of the piezoelectric layer is mechanically free, electrically shorted, or open, while the surface of the piezomagnetic substrate is mechanically free, magnetically open, or shorted. The dispersion relations are derived for four electromagnetic boundary conditions. The dispersion characteristics are graphically illustrated for the layered structure with the PMN-PT layer perfectly bonded on the CoFe₂O₄ substrate. The effects of the PMN-PT cut orientations, the electromagnetic boundary conditions, and the thickness ratio of the layer to the substrate on the dispersion behavior are analyzed and discussed in detail. The results show that, (i) the effect of the cut orientation on the dispersion curves is very obvious, (ii) the electrical boundary conditions of the PMN-PT layer dominate the propagation feature of the SH waves, and (iii) the thickness ratio has a significant effect on the phase velocity when the wave number is small. The results of the present paper can provide valuable theoretical references to the applications of piezoelectric/piezomagnectic structure in acoustic wave devices.

Key words: tensor equation, hi-spatial tensor, square tensor-product, orthorhombic piezoelectric material, dispersion relation, PMN-PT single crystal, shear horizontal (SH) wave, piezomagnetic material

中图分类号:

74A45

Yanping KONG, Ruomeng TIAN, Jie XU, Jinxi LIU. Propagation behavior of SH waves in a piezomagnetic substrate with an orthorhombic piezoelectric layer[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(2): 207-218.

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Propagation behavior of SH waves in a piezomagnetic substrate with an orthorhombic piezoelectric layer

Propagation behavior of SH waves in a piezomagnetic substrate with an orthorhombic piezoelectric layer

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