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Anomalous bending waves in crumpled sheets G. Seizilles, E. Bayart, M. Adda-Bedia and A. Boudaoud

Summary: Anomalous bending waves in crumpled sheets
G. Seizilles, E. Bayart, M. Adda-Bedia and A. Boudaoud
Laboratoire de Physique Statistique, Ecole Normale Sup´erieure, UPMC Paris 06,
Universit´e Paris Diderot, CNRS, 24 rue Lhomond, 75005 Paris, France.
(Dated: July 18, 2011)
Crumpled paper has recently emerged as a model for disordered media. Here we use wave prop-
agation to probe aluminum foils crumpled into balls made by hand or into cylinders obtained by
confinement in a container. Surprisingly, the raw dispersion relations appear to differ from sample
to sample. They correspond to bending waves that follow an effective path shorter than the distance
between the input and output points. This can be interpreted in terms of two modes of propagation:
slow bending waves and a fast mode probably at the speed of sound. In addition, the effective path
behaves differently in spheres and in cylinders. These results enable the characterization of the
sample structure and point towards the geometric rigidity of the configurations.
PACS numbers: 46.70.De,46.40.-f,43.40.+s
Crumpled paper has become a playground for studies
on disordered systems [1]. When strongly compressed, a
thin sheet folds into a polyhedral-like shape, with rather
flat facets, so that most of the energy is focussed at the
edges and vertices. Geometrical studies considered char-
acterizations such as the roughness of unfolded sheets [2­


Source: Adda-Bedia, Mokhtar - Laboratoire de Physique Statistique, Département de Physique, École Normale Supérieure


Collections: Physics