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Achieving control of in-plane elastic waves

Appl. Phys. Lett. 94, 061903 (2009); doi:10.1063/1.3068491

Published 9 February 2009

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M. Brun,1 S. Guenneau,2 and A. B. Movchan2
1Department of Structural Engineering, University of Cagliari, Cagliari I-09123, Italy
2Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool L69 3BX, United Kingdom
We derive the elastic properties of a cylindrical cloak for in-plane coupled shear and pressure waves. The cloak is characterized by a rank 4 elasticity tensor with spatially varying entries, which are deduced from a geometric transform. Remarkably, the Navier equations retain their form under this transform, which is generally untrue [G. W. Milton et al., N. J. Phys. 8, 248 (2006)]. The validity of our approach is confirmed by comparison of the analytic Green's function in homogeneous isotropic elastic space against full-wave finite element computations in a heterogeneous anisotropic elastic region surrounded by perfectly matched layers. ©2009 American Institute of Physics
History: Received 14 December 2008; accepted 18 December 2008; published 9 February 2009
Permalink: http://link.aip.org/link/?APPLAB/94/061903/1
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