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On the existence of guided acoustic waves at rectangular anisotropic edges

  • The existence of acoustic waves with displacements localized at the tip of an isotropic elastic wedge was rigorously proven by Kamotskii, Zavorokhin and Nazarov. This proof, which is based on a variational approach, is extended to rectangular anisotropic wedges. For two high-symmetry configurations of rectangular edges in elastic media with tetragonal symmetry, a criterion is derived that allowsThe existence of acoustic waves with displacements localized at the tip of an isotropic elastic wedge was rigorously proven by Kamotskii, Zavorokhin and Nazarov. This proof, which is based on a variational approach, is extended to rectangular anisotropic wedges. For two high-symmetry configurations of rectangular edges in elastic media with tetragonal symmetry, a criterion is derived that allows identifying the boundary between the regions of existence for wedge modes of even and odd symmetry in regions of parameter space, where even- and odd-symmetry modes do not exist simultaneously. Furthermore, rectangular edges with non-equivalent surfaces are analyzed, and it is shown that at rectangular edges of cubic elastic media with one (110) surface and one (001) surface, a tip-localized guided wave always exists, apart from special cases that are characterized.show moreshow less

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Metadaten
Author:Andreas Mayer, Pavel Dmitrievich Pupyrev, Alexey M. Lomonosov, Aleksandar Nikodijevic
Year of Publication:2016
Language:English
GND Keyword:Anisotropie; Schallwelle
Parent Title (English):Ultrasonics
Volume:71
First Page:278
Last Page:287
Document Type:Article (reviewed)
Institutes:Hochschule Offenburg / Bibliografie
Release Date:2018/01/30
Licence (German):License LogoEs gilt das UrhG
DOI:https://doi.org/10.1016/j.ultras.2016.06.016