English

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

Soft Condensed Matter 2020-11-30 v2

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.

Keywords

Cite

@article{arxiv.2006.09175,
  title  = {Dirac cones and chiral selection of elastic waves in a soft strip},
  author = {Maxime Lanoy and Fabrice Lemoult and Antonin Eddi and Claire Prada},
  journal= {arXiv preprint arXiv:2006.09175},
  year   = {2020}
}