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Rayleigh waves in a centrosymmetric flexoelectric layer attached to elastic substrate

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Abstract

To explore the possibility of the application of pure flexoelectric devices, the Rayleigh wave propagation in the layered composite structure is investigated in this paper. Considering the flexoelectricity of centrosymmetric crystal materials, we obtain the formulas of Rayleigh waves in layered composite structures from the virtual work principle. By solving the homogeneous linear differential equations together with the consistent boundary conditions, the dispersion relation of Rayleigh waves is apparent. Numerical results show the influences of the flexoelectric coefficient and nonlocal characteristic length on the Rayleigh wave propagation. It is found that the phase velocity is dependent upon the three flexoelectric coefficients, nonlocal characteristic length, and thin-layer thickness. The mode shape shows that the energy is near the upper surface of the flexoelectric layer with a large normalized wave number. The distribution of the electric potential suggests the possible location of electrodes. This theoretical work could guide the designing of Rayleigh waves-based devices.

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Acknowledgements

We gratefully acknowledge the financial support from the 111 Project (Grant No. B18040).

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  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University, Xi’an, 710049, China

    Sihao Lv & Shengping Shen

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  1. Sihao Lv
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Correspondence to Sihao Lv.

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Lv, S., Shen, S. Rayleigh waves in a centrosymmetric flexoelectric layer attached to elastic substrate. Acta Mech 234, 4649–4664 (2023). https://doi.org/10.1007/s00707-023-03627-x

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  • DOI: https://doi.org/10.1007/s00707-023-03627-x

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