Controlling solid elastic waves with spherical cloaks

Andre Diatta 1 Sebastien Guenneau 2, 1, 3
2 EPSILON - EPSILON
FRESNEL - Institut FRESNEL
3 CONCEPT - CONCEPT
FRESNEL - Institut FRESNEL
Abstract : We propose a cloak for coupled shear and pressure waves in solids. Its elastic properties are deduced from a geometric transform that retains the form of Navier equations. The spherical shell is made of an anisotropic and heterogeneous medium described by an elasticity tensor C' (without the minor symmetries) which has 21 non-zero spatially varying coefficients in spherical coordinates. Although some entries of C, e.g. some with a radial subscript, and the density (a scalar radial function) vanish on the inner boundary of the cloak, this metamaterial exhibits less singularities than its cylindrical counterpart studied in [M. Brun, S. Guenneau, A.B. Movchan, Appl. Phys. Lett. 94, 061903 (2009).] In the latter work, C' suffered some infinite entries, unlike in our case. Finite element computations confirm that elastic waves are smoothly detoured around a spherical void without reflection.
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https://hal.archives-ouvertes.fr/hal-01084741
Contributor : Sébastien Guenneau <>
Submitted on : Thursday, November 20, 2014 - 6:07:59 AM
Last modification on : Monday, March 4, 2019 - 2:04:25 PM

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Andre Diatta, Sebastien Guenneau. Controlling solid elastic waves with spherical cloaks. Applied Physics Letters, American Institute of Physics, 2014, 105, pp.021901. ⟨10.1063/1.4887454⟩. ⟨hal-01084741⟩

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