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Journal of Elasticity

Erschienen in:

27.02.2020

Spectral Properties of Neumann-Poincaré Operator and Anomalous Localized Resonance in Elasticity Beyond Quasi-Static Limit

verfasst von: Youjun Deng, Hongjie Li, Hongyu Liu

Erschienen in: Journal of Elasticity | Ausgabe 2/2020

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Abstract

This paper is concerned with the polariton resonances and their application for cloaking due to anomalous localized resonance (CALR) for the elastic system within finite frequency regime beyond the quasi-static approximation. We first derive the complete spectral system of the Neumann-Poincaré operator associated with the elastic system in \(\mathbb{R}^{3}\) within the finite frequency regime. Based on the obtained spectral results, we construct a broad class of elastic configurations that can induce polariton resonances beyond the quasi-static limit. As an application, the invisibility cloaking effect is achieved through constructing a class of core-shell-matrix metamaterial structures provided the source is located inside a critical radius. Moreover, if the source is located outside the critical radius, it is proved that there is no resonance.

Vorheriger Artikel New Classes of Traveling Waves in a Planar Kirchhoff Beam with Nonlinear Bending Stiffness

Nächster Artikel Generalization of Plane Stress and Plane Strain States to Elastic Plates of Finite Thickness

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Titel: Spectral Properties of Neumann-Poincaré Operator and Anomalous Localized Resonance in Elasticity Beyond Quasi-Static Limit
verfasst von: Youjun Deng
Hongjie Li
Hongyu Liu
Publikationsdatum: 27.02.2020
Verlag: Springer Netherlands
Erschienen in: Journal of Elasticity / Ausgabe 2/2020
Print ISSN: 0374-3535
Elektronische ISSN: 1573-2681
DOI: https://doi.org/10.1007/s10659-020-09767-8

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