Directional cloaking of flexural waves in a plate with a locally resonant metamaterial

Abstract : This paper deals with the numerical design of a directional invisibility cloak for backward scattered elastic waves propagating in a thin plate (A 0 Lamb waves). The directional cloak is based on a set of resonating beams that are attached perpendicular to the plate and are arranged at a sub-wavelength scale in ten concentric rings. The exotic effective properties of this locally resonant metamaterial ensure coexistence of bandgaps and directional cloaking for certain beam configurations over a large frequency band. The best directional cloaking was obtained when the resonators' length decreases from the central to the outermost ring. In this case, flexural waves experience a vanishing index of refraction when they cross the outer layers, leading to a frequency bandgap that protects the central part of the cloak. Numerical simulation shows that there is no back-scattering in these configurations. These results might have applications in the design of seismic-wave protection devices.
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Andrea Colombi, Roux Philippe, Sébastien Guenneau, Matthieu Rupin. Directional cloaking of flexural waves in a plate with a locally resonant metamaterial. Journal of the Acoustical Society of America, Acoustical Society of America, 2015, 137, pp.1783. ⟨10.1121/1.4915004⟩. ⟨hal-01283605⟩



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