Mathematical analysis of the propagation of elastic guided waves in heterogeneous media

A. Bamberger; Y. Dermenjian; P. Joly

doi:10.1016/0022-0396(90)90112-3

Mathematical analysis of the propagation of elastic guided waves in heterogeneous media

A. Bamberger
, Y. Dermenjian
, P. Joly

IFP Energies nouvelles
Universite Paris Nord
University Paris 13

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

16 Citations (Scopus)

Résumé

In this article, we are concerned with the propagation of elastic waves in isotropic heterogeneous media, invariant under translation in one direction. We give a theoretical analysis of the existence of guided waves and of their properties. In particular the thresholds, or cut-off frequencies, are studied in detail. The main mathematical tool is the spectral theory of selfadjoint operators, and more specifically the Max-Min principle.

langue originale	Anglais
Pages (de - à)	113-154
Nombre de pages	42
journal	Journal of Differential Equations
Volume	88
Numéro de publication	1
Les DOIs	https://doi.org/10.1016/0022-0396(90)90112-3
état	Publié - 1 janv. 1990

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title = "Mathematical analysis of the propagation of elastic guided waves in heterogeneous media",

abstract = "In this article, we are concerned with the propagation of elastic waves in isotropic heterogeneous media, invariant under translation in one direction. We give a theoretical analysis of the existence of guided waves and of their properties. In particular the thresholds, or cut-off frequencies, are studied in detail. The main mathematical tool is the spectral theory of selfadjoint operators, and more specifically the Max-Min principle.",

author = "A. Bamberger and Y. Dermenjian and P. Joly",

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AB - In this article, we are concerned with the propagation of elastic waves in isotropic heterogeneous media, invariant under translation in one direction. We give a theoretical analysis of the existence of guided waves and of their properties. In particular the thresholds, or cut-off frequencies, are studied in detail. The main mathematical tool is the spectral theory of selfadjoint operators, and more specifically the Max-Min principle.

U2 - 10.1016/0022-0396(90)90112-3

DO - 10.1016/0022-0396(90)90112-3

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SP - 113

EP - 154

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

Mathematical analysis of the propagation of elastic guided waves in heterogeneous media

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