Transformation cloaking and radial approximations for flexural waves in elastic plates

Brun, M, Colquitt, DJ ORCID: 0000-0001-5637-1626, Jones, IS ORCID: 0000-0002-5226-0053, Movchan, AB and Movchan, NV (2014) Transformation cloaking and radial approximations for flexural waves in elastic plates. NEW JOURNAL OF PHYSICS, 16 (9). 093020-093020.

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Abstract

It is known that design of elastic cloaks is much more challenging than the design idea for acoustic cloaks, cloaks of electromagnetic waves or scalar problems of anti-plane shear. In this paper, we address fully the fourth-order problem and develop a model of a broadband invisibility cloak for channelling flexural waves in thin plates around finite inclusions. We also discuss an option to employ efficiently an elastic pre-stress and body forces to achieve such a result. An asymptotic derivation provides a rigorous link between the model in question and elastic wave propagation in thin solids. This is discussed in detail to show connection with non-symmetric formulations in vector elasticity studied in earlier work.

Item Type:	Article
Additional Information:	19 pages, 3 figures
Uncontrolled Keywords:	cloaking, flexural waves, metamaterials, asymptotics, plates, elasticity
Subjects:	?? QA ?? ?? QC ??
Depositing User:	Symplectic Admin
Date Deposited:	06 Jan 2016 15:18
Last Modified:	16 Dec 2022 16:55
DOI:	10.1088/1367-2630/16/9/093020
Publisher's Statement :	Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2044743