Parnell, William J. and Shearer, Tom
(2013)
*Antiplane elastic wave cloaking using metamaterials, homogenization and hyperelasticity.*
Wave Motion, 50.
pp. 1140-1152.
ISSN 0165-2125

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## Abstract

We consider the problem of how to cloak objects from antiplane elastic waves using two alternative techniques. The first is the use of a layered metamaterial in the spirit of the work of Torrent and Sanchez-Dehesa (2008) who considered acoustic cloaks, motivated by homogenization theories, whilst the second is the use of a hyperelastic cloak in the spirit of the work of Parnell et al. (2012). We extend the hyperelastic cloaking theory to the case of a Mooneyâ��Rivlin material since this is often considered to be a more realistic constitutive model of rubber-like media than the neo-Hookean case studied by Parnell et al. (2012), certainly at the deformations required to produce a significant cloaking effect. Although not perfect, the Mooneyâ��Rivlin material appears to be a reasonable hyperelastic cloak. This is clearly encouraging for applications. We quantify the effectiveness of the various cloaks considered by plotting the scattering cross section as a function of frequency, noting that this would be zero for a perfect cloak.

Item Type: | Article |
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Uncontrolled Keywords: | Antiplane waves Cloaking Metamaterials Hyperelasticity Homogenization |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 74 Mechanics of deformable solids PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 46 Continuum mechanics of solids |

Depositing User: | Dr Tom Shearer |

Date Deposited: | 08 Dec 2014 |

Last Modified: | 20 Oct 2017 14:13 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/2202 |

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