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Faraday wave lattice as an elastic metamaterial

By L Domino, M Tarpin, Sylvain Patinet and A Eddi

Abstract

Metamaterials enable the emergence of novel physical properties due to the existence of an underlying sub-wavelength structure. Here, we use the Faraday instability to shape the fluid-air interface with a regular pattern. This pattern undergoes an oscillating secondary instability and exhibits spontaneous vibrations that are analogous to transverse elastic waves. By locally forcing these waves, we fully characterize their dispersion relation and show that a Faraday pattern presents an effective shear elasticity. We propose a physical mechanism combining surface tension with the Faraday structured interface that quantitatively predicts the elastic wave phase speed, revealing that the liquid interface behaves as an elastic metamaterial

Topics: PACS numbers: 05.45.-a, 47.35.Pq, 62.30.+d, 81.05.Xj, [ PHYS.MECA.MEFL ] Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph], [ PHYS.MECA.VIBR ] Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph], [ PHYS.MECA.MEMA ] Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph], [ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]
Publisher: HAL CCSD
Year: 2016
OAI identifier: oai:HAL:hal-01262123v1
Provided by: Hal-Diderot

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