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arXiv · 1306.0313

Transition from wave turbulence to dynamical crumpling in vibrated elastic plates

Benjamin Miquel·Alexandros Alexakis·Christophe Josserand·Nicolas Mordant
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Abstract

We study the dynamical regime of wave turbulence of a vibrated thin elastic plate based on experimental and numerical observations. We focus our study to the strongly non linear regime described in a previous letter by N. Yokoyama & M. Takaoka. At small forcing, a weakly non linear regime is compatible with the Weak Turbulence Theory when the dissipation is localized at high wavenumber. When the forcing intensity is increased, a strongly non linear regime emerges: singular structures dominate the dynamics at large scale whereas at small scales the weak turbulence is still present. A turbulence of singular structures, with folds and D-cones, develops that alters significantly the energy spectra and causes the emergence of intermittency.

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Benjamin Miquel, Alexandros Alexakis, Christophe Josserand, Nicolas Mordant. 2013-06-03. Transition from wave turbulence to dynamical crumpling in vibrated elastic plates. https://doi.org/10.1103/physrevlett.111.054302

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