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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	113-154
Number of pages	42
Journal	Journal of Differential Equations
Volume	88
Issue number	1
DOIs	https://doi.org/10.1016/0022-0396(90)90112-3
Publication status	Published - 1 Jan 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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AU - Joly, P.

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Y1 - 1990/1/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0005544719

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

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

M3 - Article

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SN - 0022-0396

VL - 88

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

Abstract

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