A mathematical analysis of the strip-element method for the computation of dispersion curves of guided waves in anisotropic layered media
type: Item
instance of: scholarly article
title: A mathematical analysis of the strip-element method for the computation of dispersion curves of guided waves in anisotropic layered media
zbMATH Open document ID: 1425.74489
DOI: 10.1155/2010/924504
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2010-09-30T00:00:00Z
review text: Summary: Dispersion curves of elastic guided waves in plates can be efficiently computed by the Strip-Element Method. This method is based on a finite-element discretization in the thickness direction of the plate and leads to an eigenvalue problem relating frequencies to wavenumbers of the wave modes. In this paper we present a rigorous mathematical background of the Strip-Element Method for anisotropic media including a thorough analysis of the corresponding infinite-dimensional eigenvalue problem as well as a proof of the existence of eigenvalues.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 5793804
MaRDI profile type: Publication
Wikidata QID: Q58653421
full work available at URL: https://doi.org/10.1155/2010/924504
OpenAlex ID: W2149420106
cites work: Q5685720
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cites work: The order-preserving convergence for spectral approximation of self-adjoint completely continuous operators
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description: scientific article; zbMATH DE number 5793804