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arXiv · 2006.09175

Dirac cones and chiral selection of elastic waves in a soft strip

Maxime Lanoy·Fabrice Lemoult·Antonin Eddi·Claire Prada
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Abstract

We study the propagation of in-plane elastic waves in a soft thin strip; a specific geometrical and mechanical hybrid framework which we expect to exhibit Dirac-like cone. We separate the low frequencies guided modes (typically 100 Hz for a centimetre wide strip) and obtain experimentally the full dispersion diagram. Dirac cones are evidenced together with other remarkable wave phenomena such as negative wave velocity or pseudo-zero group velocity (ZGV). Our measurements are convincingly supported by a model (and numerical simulation) for both Neumann and Dirichlet boundary conditions. Finally, we perform one-way chiral selection by carefully setting the source position and polarization. Therefore, we show that soft materials support atypical wave-based phenomena, which is all the more interesting as they make most of the biological tissues.

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Maxime Lanoy, Fabrice Lemoult, Antonin Eddi, Claire Prada. 2020-11-25. Dirac cones and chiral selection of elastic waves in a soft strip. https://doi.org/10.1073/pnas.2010812117

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