Work

Achieving control of in-plane elastic waves

Year: 2009
Type: article
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 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.
Authors: M. Brun, S. Guenneau, A. B. Movchan
Language: English
Open Access status: green
OpenAlex ID: W2048859237
FWCI: 22.59
Cites: 14
Cited by: 314
Related to: 10