Achieving control of in-plane elastic waves
Materials Science
2009-11-13 v1
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.
Cite
@article{arxiv.0812.0912,
title = {Achieving control of in-plane elastic waves},
author = {Michele Brun and Sebastien Guenneau and Alexander B. Movchan},
journal= {arXiv preprint arXiv:0812.0912},
year = {2009}
}
Comments
9 pages, 4 figures