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      Faraday wave lattice as an elastic metamaterial

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          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.

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          Author and article information

          Journal
          2016-01-29
          Article
          10.1103/PhysRevE.93.050202
          1601.08024

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          Phys. Rev. E 93, 050202 (2016)
          physics.class-ph nlin.PS
          ccsd

          Classical mechanics, Nonlinear & Complex systems

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