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Torsional surface wave propagation in a transversely isotropic FG substrate with piezoelectric over-layer within surface/interface theory

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Abstract

Propagation of the torsional surface waves in a medium consisting of a functionally graded (FG) substrate bonded to a thin piezoelectric over-layer has been analytically formulated in the mathematical framework of surface/interface elasticity theory. In the cases where the wavelength and/or the thickness of the over-layer are comparable to the surface/interface characteristic length, then the surface/interface effects are not negligible. It is assumed that the over-layer is made of hexagonal 622 crystals with a single axis of rotational symmetry coinciding with the axis of polarization. The half-space is made of an FG transversely isotropic material in which the elasticity tensor and the mass density vary linearly with depth. Accounting for the surface/interface effects, the pertinent dispersion relation is derived analytically and verified for five different limiting cases of the proposed problem. The effect of the inhomogeneity parameters of the FG half-space and the surface/interface parameters on the dispersion relation is studied numerically, and the results are compared with those obtained from the classical theory.

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Authors and Affiliations

  1. Department of Civil Engineering, Sharif University of Technology, P.O. Box 11155-9313, Tehran, Iran

    C. Enzevaee & H. M. Shodja

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  1. C. Enzevaee
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  2. H. M. Shodja
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Correspondence to H. M. Shodja.

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Enzevaee, C., Shodja, H.M. Torsional surface wave propagation in a transversely isotropic FG substrate with piezoelectric over-layer within surface/interface theory. Acta Mech 231, 2203–2216 (2020). https://doi.org/10.1007/s00707-020-02638-2

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  • DOI: https://doi.org/10.1007/s00707-020-02638-2

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