Elastic wave near-cloaking
File(s)2011.07147v1.pdf (30.76 MB)
Accepted version
Author(s)
Quadrelli, Davide Enrico
Craster, Richard
Kadic, Muamer
Braghin, Francesco
Type
Journal Article
Abstract
Cloaking elastic waves has, in contrast to the cloaking of electromagnetic waves, remained a fundamental challenge: the latter successfully uses the invariance of Maxwell’s equations, from which the field of transformational optics has emerged, whereas the elastic Navier equations are not invariant under coordinate transformations. Our aim is to overcome this challenge, at least in practical terms, and thereby unlock applications in mechanics, ultrasound, vibration mitigation, non-destructive evaluation and elastic wave control. We achieve near-cloaking by recognizing that, despite the lack of invariance, a decoupling into a system of form invariant potential equations together with a quantifiable approximation, can be used effectively in many cases to control the flow of elastodynamic waves. Here, in particular we focus on the efficiency and practicability of the proposed near-cloaking which is illustrated using carpet cloaks to hide surface defects from incoming compressional and shear in-plane waves and from surface elastic Rayleigh waves.
Date Issued
2021-04
Date Acceptance
2021-02-27
Citation
Extreme Mechanics Letters, 2021, 44, pp.1-8
ISSN
2352-4316
Publisher
Elsevier BV
Start Page
1
End Page
8
Journal / Book Title
Extreme Mechanics Letters
Volume
44
Copyright Statement
© 2021 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://www.sciencedirect.com/science/article/pii/S2352431621000560?via%3Dihub
Subjects
cond-mat.mtrl-sci
cond-mat.mtrl-sci
physics.app-ph
Publication Status
Published
Article Number
101262
Date Publish Online
2021-03-04