SPECTRAL PATTERNS OF ELASTIC TRANSMISSION EIGENFUNCTIONS : BOUNDARY LOCALIZATION, SURFACE RESONANCE, AND STRESS CONCENTRATION

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)2469-2498
Journal / PublicationSIAM Journal on Applied Mathematics
Volume83
Issue number6
Online published5 Dec 2023
Publication statusPublished - 2023

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85180612380&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(f2a46a33-4ef1-4a27-bda2-53a475fe8a69).html

Abstract

We present a comprehensive study of new discoveries on the spectral patterns of elastic transmission eigenfunctions, including boundary localization, surface resonance, and stress concentration. In the case where the domain is radial and the underlying parameters are constant, we give rigorous justifications and derive a thorough understanding of those intriguing geometric and physical patterns. We also present numerical examples to verify that the same results hold in general geometric and parameter setups. © 2023 Society for Industrial and Applied Mathematics Publications. All rights reserved.

Research Area(s)

  • boundary localization, elastic transmission eigenfunctions, Lam\'e system, spectral geometry, stress concentration, surface resonance

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Eigenvector Engineering
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Stress Concentratio... Engineering
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Numerical Example Engineering
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Industrial Mathemat... Mathematics
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Applied Mathematics Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
SPECTRAL PATTERNS OF ELASTIC TRANSMISSION EIGENFUNCTIONS: BOUNDARY LOCALIZATION, SURFACE RESONANCE, AND STRESS CONCENTRATION. / Jiang, Yan; Liu, Hongyu; Zhang, Jiachuan et al.
In: SIAM Journal on Applied Mathematics, Vol. 83, No. 6, 2023, p. 2469-2498.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review