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 16 spatially varying entries which are deduced from a geometric
transform. Remarkably, the Navier equations retain their form under this
transform, which is generally untrue Milton et al., New J. Phys. 8, 248
(2006). We numerically check that clamped and freely vibrating obstacles
located inside the neutral region are cloaked disrespectful of the frequency
and the polarization of an incoming elastic wave.
%0 Generic
%1 Brun2008
%A Brun, Michele
%A Guenneau, Sebastien
%A Movchan, Alexander B.
%D 2008
%K imported
%T Achieving control of in-plane elastic waves
%U http://arxiv.org/abs/0812.0912
%X 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 16 spatially varying entries which are deduced from a geometric
transform. Remarkably, the Navier equations retain their form under this
transform, which is generally untrue Milton et al., New J. Phys. 8, 248
(2006). We numerically check that clamped and freely vibrating obstacles
located inside the neutral region are cloaked disrespectful of the frequency
and the polarization of an incoming elastic wave.
@misc{Brun2008,
abstract = { 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 16 spatially varying entries which are deduced from a geometric
transform. Remarkably, the Navier equations retain their form under this
transform, which is generally untrue [Milton et al., New J. Phys. 8, 248
(2006)]. We numerically check that clamped and freely vibrating obstacles
located inside the neutral region are cloaked disrespectful of the frequency
and the polarization of an incoming elastic wave.
},
added-at = {2008-12-16T19:30:35.000+0100},
author = {Brun, Michele and Guenneau, Sebastien and Movchan, Alexander B.},
biburl = {https://www.bibsonomy.org/bibtex/2a9a7da779559250e23804cccc4f654f1/norris},
description = {Achieving control of in-plane elastic waves},
interhash = {089ca2985a026eef42af5b5e2438c954},
intrahash = {a9a7da779559250e23804cccc4f654f1},
keywords = {imported},
note = {cite arxiv:0812.0912
Comment: 9 pages, 4 figures},
timestamp = {2008-12-17T11:33:58.000+0100},
title = {Achieving control of in-plane elastic waves},
url = {http://arxiv.org/abs/0812.0912},
year = 2008
}