Elastic Wave Control Beyond Band-Gaps: Shaping the Flow of Waves in Plates and Half-Spaces with Subwavelength Resonant Rods



Colombi, Andrea, Craster, Richard V, Colquitt, Daniel, Achaoui, Younes, Guenneau, Sebastien, Roux, Philippe and Rupin, Matthieu
(2017) Elastic Wave Control Beyond Band-Gaps: Shaping the Flow of Waves in Plates and Half-Spaces with Subwavelength Resonant Rods. Frontiers in Mechanical Engineering, 3. 10-.

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Abstract

In metamaterial science, local resonance and hybridization are key phenomena strongly influencing the dispersion properties; the metasurface discussed in this article created by a cluster of resonators, subwavelength rods, atop an elastic surface being an exemplar with these features. On this metasurface, band-gaps, slow or fast waves, negative refraction, and dynamic anisotropy can all be observed by exploring frequencies and wavenumbers from the Floquet–Bloch problem and by using the Brillouin zone. These extreme characteristics, when appropriately engineered, can be used to design and control the propagation of elastic waves along the metasurface. For the exemplar we consider, two parameters are easily tuned: rod height and cluster periodicity. The height is directly related to the band-gap frequency and, hence, to the slow and fast waves, while the periodicity is related to the appearance of dynamic anisotropy. Playing with these two parameters generates a gallery of metasurface designs to control the propagation of both flexural waves in plates and surface Rayleigh waves for half-spaces. Scalability with respect to the frequency and wavelength of the governing physical laws allows the application of these concepts in very different fields and over a wide range of lengthscales.

Item Type: Article
Uncontrolled Keywords: 40 Engineering, 4009 Electronics, Sensors and Digital Hardware
Depositing User: Symplectic Admin
Date Deposited: 30 Aug 2017 08:01
Last Modified: 21 Jun 2024 01:46
DOI: 10.3389/fmech.2017.00010
Open Access URL: https://dx.doi.org/10.3389/fmech.2017.00010
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3009227