Solitary SH waves in two-layered traction-free plates

Irini Djeran-Maigre; Sergey Kuznetsov

doi:10.1016/j.crme.2007.11.001

Solitary SH waves in two-layered traction-free plates

Irini Djeran-Maigre ¹ ; Sergey Kuznetsov ²

¹ LGCIE, INSA-Lyon, 34, avenue des Arts, 69621 Villeurbanne cedex, France
² Institute for Problems in Mechanics, Prosp. Vernadskogo 101, Moscow 119526, Russia

Comptes Rendus. Mécanique, Duality, inverse problems and nonlinear problems in solid mechanics, Volume 336 (2008) no. 1-2, pp. 102-107.

Abstract
Résumé

A solitary wave, resembling a soliton wave, is observed when analyzing the linear problem of polarized shear (SH) surface acoustic waves propagating in elastic orthotropic two-layered traction-free plates. The analysis is performed by applying a special complex formalism and the Modified Transfer Matrix (MTM) method. Conditions for the existence of solitary SH waves are obtained. Analytical expressions for the phase speed of the solitary wave are derived.

Une onde isolée ressemblant à un soliton est décrite mathématiquement en analysant les problèmes linéaires pour des ondes de cisaillement de surface se propageant dans les plaques élastiques, anisotropes et stratifiées. Le modèle mathématique est basé sur un formalisme particulier dans un espace complexe et sur la méthode de la matrice modifiée de transfert (MTM). Les conditions d'existence des ondes isolées sont obtenues. La vitesse de phase de ces ondes est décrite par des solutions analytiques.

Published online: 2008-01-01

DOI: 10.1016/j.crme.2007.11.001

Keywords: Waves, SH wave, Shear wave, Surface wave, Soliton, Solitary wave
Mots-clés : Ondes, Ondes SH, Onde de cisaillement, Onde de surface, Soliton, Onde isolée

Author's affiliations:

Irini Djeran-Maigre ¹; Sergey Kuznetsov ²

¹ LGCIE, INSA-Lyon, 34, avenue des Arts, 69621 Villeurbanne cedex, France
² Institute for Problems in Mechanics, Prosp. Vernadskogo 101, Moscow 119526, Russia

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     author = {Irini Djeran-Maigre and Sergey Kuznetsov},
     title = {Solitary {SH} waves in two-layered traction-free plates},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {102--107},
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     volume = {336},
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     year = {2008},
     doi = {10.1016/j.crme.2007.11.001},
     language = {en},
}

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Irini Djeran-Maigre; Sergey Kuznetsov. Solitary SH waves in two-layered traction-free plates. Comptes Rendus. Mécanique, Duality, inverse problems and nonlinear problems in solid mechanics, Volume 336 (2008) no. 1-2, pp. 102-107. doi : 10.1016/j.crme.2007.11.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.11.001/

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