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Mathematical Analysis of Continuum Mechanics and Industrial Applications IIIOn the Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media

Mathematical Analysis of Continuum Mechanics and Industrial Applications III: On the Perturbation... [The Bleustein–Gulyaev (BG) waves are subsonic surface waves which propagate along the surface of a piezoelectric half-space whose constituent material has a hexagonal symmetry, and which satisfies the mechanically free and electrically closed boundary condition. We give a perturbation to the material constants of the piezoelectric half-space of hexagonal symmetry, which consists of a perturbative part of the elasticity tensor, a perturbative part of the piezoelectric tensor and a perturbative part of the dielectric tensor. We will then present a first-order perturbation formula for the phase velocity of BG waves, which expresses the shift in the velocity from its comparative value for a hexagonal piezoelectric half-space, caused by those perturbative parts of the three tensors. It can be observed that only a few components of the perturbative parts of the tensors can affect the first-order perturbation of the phase velocity of BG waves.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Mathematical Analysis of Continuum Mechanics and Industrial Applications IIIOn the Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media

Part of the Mathematics for Industry Book Series (volume 34)
Editors: Itou, Hiromichi; Hirano, Shiro; Kimura, Masato; Kovtunenko, Victor A.; Khludnev, Alexandr M.
Nakamura, Gen; Tanuma, Kazumi; Xu, Xiang
Mathematical Analysis of Continuum Mechanics and Industrial Applications III — Aug 30, 2020
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Publisher
Springer Singapore
Copyright
© Springer Nature Singapore Pte Ltd. 2020
ISBN
978-981-15-6061-3
Pages
67 –79
DOI
10.1007/978-981-15-6062-0_5
Publisher site
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Abstract

[The Bleustein–Gulyaev (BG) waves are subsonic surface waves which propagate along the surface of a piezoelectric half-space whose constituent material has a hexagonal symmetry, and which satisfies the mechanically free and electrically closed boundary condition. We give a perturbation to the material constants of the piezoelectric half-space of hexagonal symmetry, which consists of a perturbative part of the elasticity tensor, a perturbative part of the piezoelectric tensor and a perturbative part of the dielectric tensor. We will then present a first-order perturbation formula for the phase velocity of BG waves, which expresses the shift in the velocity from its comparative value for a hexagonal piezoelectric half-space, caused by those perturbative parts of the three tensors. It can be observed that only a few components of the perturbative parts of the tensors can affect the first-order perturbation of the phase velocity of BG waves.]

Published: Aug 30, 2020

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