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

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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.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Yanping Kong & Jinxi Liu

  2. Department of Civil Engineering, Shijiazhuang Tiedao University Sifang College, Shijiazhuang, 051132, China

    Ruomeng Tian

  3. Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian, Liaoning Province, 116024, China

    Jie Xu

Authors
  1. Yanping Kong
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  2. Ruomeng Tian
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  3. Jie Xu
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  4. Jinxi Liu
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Corresponding author

Correspondence to Jinxi Liu.

Additional information

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)

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Kong, Y., Tian, R., Xu, J. et al. Propagation behavior of SH waves in a piezomagnetic substrate with an orthorhombic piezoelectric layer. Appl. Math. Mech.-Engl. Ed. 39, 207–218 (2018). https://doi.org/10.1007/s10483-018-2295-6

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  • DOI: https://doi.org/10.1007/s10483-018-2295-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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