Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 69-70, Issue -, Pages 498-506Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2015.05.001
Keywords
Metamaterials; Cloaking; Singular perturbation; Platonics; Flexural waves
Categories
Funding
- EPSRC - United Kingdom programme [EP/L024926/1]
- Regione Autonoma della Sardegna Italy (LR7) ['M4' CRP-27585]
- European Community's Seven Framework Programme [PIEF-GA-2011-302357-DYNAMETA]
- Engineering and Physical Sciences Research Council [EP/L024926/1] Funding Source: researchfish
- EPSRC [EP/L024926/1] Funding Source: UKRI
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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. (C) 2015 Elsevier Ltd. All rights reserved.
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