Faraday wave lattice as an elastic metamaterial.
Metamaterials enable the emergence of novel physical properties due to the existence of an underlying subwavelength 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.
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), UMR CNRS 7636, PSL-ESPCI, 10 rue Vauquelin, 75005 Paris, France and Sorbonne Université-UPMC, Université Paris 06, 75005 Paris, France.
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Domino
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), UMR CNRS 7636, PSL-ESPCI, 10 rue Vauquelin, 75005 Paris, France and Sorbonne Université-UPMC, Université Paris 06, 75005 Paris, France.
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Tarpin
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), UMR CNRS 7636, PSL-ESPCI, 10 rue Vauquelin, 75005 Paris, France and Sorbonne Université-UPMC, Université Paris 06, 75005 Paris, France.
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Patinet
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), UMR CNRS 7636, PSL-ESPCI, 10 rue Vauquelin, 75005 Paris, France and Sorbonne Université-UPMC, Université Paris 06, 75005 Paris, France.
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