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Acta Mechanica
Published in: Acta Mechanica 6/2020

09-03-2020 | Original Paper

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

Authors: C. Enzevaee, H. M. Shodja

Published in: Acta Mechanica | Issue 6/2020

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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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Metadata
Title
Torsional surface wave propagation in a transversely isotropic FG substrate with piezoelectric over-layer within surface/interface theory
Authors
C. Enzevaee
H. M. Shodja
Publication date
09-03-2020
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 6/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-020-02638-2

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