Achieving control of in-plane elastic waves

Michele Brun (1) , Sébastien Guenneau (2) , Alexander Movchan (3)

1 Department of Structural Engineering
2 FRESNEL - Institut FRESNEL
3 Department of Maths Sciences

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.

Mots clés: elastic waves; cloaking

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Michele Brun, Sébastien Guenneau, Alexander Movchan. Achieving control of in-plane elastic waves. Applied Physics Letters, 2009, 94, pp.061903. ⟨10.1063/1.3068491⟩. ⟨hal-00438908⟩