Achieving control of in-plane elastic waves

Details Achieving control of in-plane elastic waves Achieving control of in-plane elastic waves

2008-12-04

arxiv.org/abs/0812.0912v1

Physics

Condensed Matter

Materials Science

9 pages, 4 figures

Scientific paper

10.1063/1.3068491

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.

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