Broadband cloaking of bending waves via homogenization of multiply perforated radially symmetric and isotropic thin elastic plates - Archive ouverte HAL
Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2012

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

Mohamed Farhat
Sébastien Guenneau
Stefan Enoch

Résumé

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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Dates et versions

hal-00761125 , version 1 (05-12-2012)

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Citer

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 (1998-2015), 2012, 85, pp.020301. ⟨10.1103/PhysRevB.85.020301⟩. ⟨hal-00761125⟩
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