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Love wave propagation in one-dimensional piezoelectric quasicrystal multilayered nanoplates with surface effects

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Abstract

The exact solutions for the propagation of Love waves in one-dimensional (1D) hexagonal piezoelectric quasicrystal (PQC) nanoplates with surface effects are derived. An electro-elastic model is developed to investigate the anti-plane strain problem of Love wave propagation. By introducing three shape functions, the wave equations and electric balance equations are decoupled into three uncorrelated problems. Satisfying the boundary conditions of the top surface on the covering layer, the interlayer interface, and the matrix, a dispersive equation with the influence of multi-physical field coupling is provided. A surface PQC model is developed to investigate the surface effects on the propagation behaviors of Love waves in quasicrystal (QC) multilayered structures with nanoscale thicknesses. A novel dispersion relation for the PQC structure is derived in an explicit closed form according to the non-classical mechanical and electric boundary conditions. Numerical examples are given to reveal the effects of the boundary conditions, stacking sequence, characteristic scale, and phason fluctuation characteristics on the dispersion curves of Love waves propagating in PQC nanoplates with surface effects.

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Authors and Affiliations

  1. College of Science, China Agricultural University, Beijing, 100083, China

    Xin Feng & Yang Gao

  2. School of Mechanical Engineering, Tianjin University, Tianjin, 300350, China

    Xin Feng & Liaoliang Ke

Authors
  1. Xin Feng
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  2. Liaoliang Ke
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  3. Yang Gao
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Correspondence to Yang Gao.

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Conflict of interest The authors declare no conflict of interest.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 12272402 and 11972365) and the China Agricultural University Education Foundation (No. 1101-2412001)

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Feng, X., Ke, L. & Gao, Y. Love wave propagation in one-dimensional piezoelectric quasicrystal multilayered nanoplates with surface effects. Appl. Math. Mech.-Engl. Ed. 45, 619–632 (2024). https://doi.org/10.1007/s10483-024-3104-9

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  • DOI: https://doi.org/10.1007/s10483-024-3104-9

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2010 Mathematics Subject Classification

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