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An Elastic Cloak Model Based on Coordinate Transformation

[+] Author Affiliations
M. Brun

University of Cagliari, Cagliari, Italy

S. Guenneau, A. B. Movchan

University of Liverpool, Liverpool, UK

Paper No. IMECE2010-37070, pp. 355-359; 5 pages
doi:10.1115/IMECE2010-37070
From:
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanics of Solids, Structures and Fluids
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4446-5
  • Copyright © 2010 by ASME

abstract

We propose a class of cylindrical cloaks for elastic waves which are deduced from geometric transform. In particular we implement a radially symmetric linear geometric transform which depends upon a parameter and depending upon the value of such parameter, the transform is applied to the design of neutral (invisibility) cloaks and to obtain mirage effects. Interestingly, the cloaking device has been designed for fully-coupled in-plane shear and pressure waves and, moreover, the chosen reparameterization is such that the elasticity equations maintain their initial form under the transformation, which is generally untrue in the elasticity case.

Copyright © 2010 by ASME

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