Singular perturbations and cloaking illusions for elastic waves in membranes and Kirchhoff plates

Export Citation

Jones, IS, Brun, M, Movchan, NV and Movchan, AB (2015) Singular perturbations and cloaking illusions for elastic waves in membranes and Kirchhoff plates. International journal of Solids and Structures, 69-70. pp. 498-506. ISSN 0020-7683

Preview

Text
1501.06853v1.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.
Download (540kB) | Preview

Publisher URL: http://dx.doi.org/10.1016/j.ijsolstr.2015.05.001

Abstract

A perturbation approach is used for analysis of a near-cloak in shielding a finite scatterer from an incident flexural wave. The effect of the boundary conditions on the interior surface of the cloaking layer is analysed in detail, based on the explicit analytical solutions of a wave propagation problem for a membrane as well as a Kirchhoff flexural plate. It is shown that the Dirichlet boundary condition on the interior contour of the cloak significantly reduces the cloaking action in the membrane case, and it also makes cloaking impossible for flexural waves in a Kirchhoff plate.

Item Type:	Article
Uncontrolled Keywords:	physics.class-ph; physics.class-ph; math-ph; math.MP
Subjects:	Q Science > QC Physics
Divisions:	Maritime and Mechanical Engineering (merged with Engineering 10 Aug 20)
Publisher:	Elsevier
Related URLs:	http://arxiv.org/abs/1501.06853v1
Date of acceptance:	28 May 2015
Date of first compliant Open Access:	28 May 2016
Date Deposited:	27 Feb 2015 14:44
Last Modified:	23 May 2022 14:55
URI:	https://researchonline.ljmu.ac.uk/id/eprint/491

View Item

CORE (COnnecting REpositories)