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

Enzevaee, C ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1007/s00707-020-02638-2
  3. Publisher: Springer , 2020
  4. Abstract:
  5. 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. © 2020, Springer-Verlag GmbH Austria, part of Springer Nature
  6. Keywords:
  7. Crystal symmetry ; Elasticity ; Geometry ; Piezoelectricity ; Quantum theory ; Surface waves ; Wave propagation ; Characteristic length ; Dispersion relations ; Functionally graded ; Mathematical frameworks ; Rotational symmetries ; Surface/interface effects ; Transversely isotropic ; Transversely isotropic materials ; Dispersion (waves)
  8. Source: Acta Mechanica ; Volume 231, Issue 6 , 2020 , Pages 2203-2216
  9. URL: https://link.springer.com/article/10.1007%2Fs00707-020-02638-2