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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
Document Type:Article (reviewed)
Zitierlink: https://opus.hs-offenburg.de/2365
Bibliografische Angaben
Title (English):On the existence of guided acoustic waves at rectangular anisotropic edges
Author:Andreas MayerStaff MemberGND, Pavel Dmitrievich PupyrevStaff MemberORCiDGND, Alexey M. LomonosovStaff MemberORCiDGND, Aleksandar Nikodijevic
Year of Publication:2016
First Page:278
Last Page:287
Parent Title (English):Ultrasonics
Volume:71
DOI:https://doi.org/10.1016/j.ultras.2016.06.016
Language:English
Inhaltliche Informationen
Institutes:Fakultät Wirtschaft (W)
Institutes:Bibliografie
GND Keyword:Anisotropie; Schallwelle
Formale Angaben
Licence (German):License LogoUrheberrechtlich geschützt