Broadband cloaking of bending waves via homogenization of multiply perforated radially symmetric and isotropic thin elastic plates

Mohamed Farhat 1 Sébastien Guenneau 2, 3 Stefan Enoch 4
2 EPSILON - EPSILON
FRESNEL - Institut FRESNEL
3 CONCEPT - CONCEPT
FRESNEL - Institut FRESNEL
4 CLARTE - CLARTE
FRESNEL - Institut FRESNEL
Abstract : A cylindrical cloak is designed to control the bending waves propagating in isotropic thin plates. This is achieved through homogenization of a multiply perforated coating of isotropic homogeneous elastic material, which greatly simplifies the design of the multilayered cloak we proposed [ Phys. Rev. Lett. 103 024301 (2009)]. We first derive the homogenized biharmonic equation, which involves an anisotropic Young's modulus and an isotropic mass density. We then numerically show that a clamped obstacle is cloaked over a finite range of frequencies for an acoustic source located a couple of wavelengths away from its surrounding cloak. The reduced backward and forward scattering is confirmed by both the profile of the total field computed along a line passing through the source and the center of the cloak (near field confirmation), and the computation of the scattered far field.
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https://hal.archives-ouvertes.fr/hal-00761125
Contributor : Sébastien Guenneau <>
Submitted on : Wednesday, December 5, 2012 - 7:43:02 AM
Last modification on : Monday, March 4, 2019 - 2:04:25 PM

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Mohamed Farhat, Sébastien Guenneau, Stefan Enoch. Broadband cloaking of bending waves via homogenization of multiply perforated radially symmetric and isotropic thin elastic plates. Physical Review B : Condensed matter and materials physics, American Physical Society, 2012, 85, pp.020301. ⟨10.1103/PhysRevB.85.020301⟩. ⟨hal-00761125⟩

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