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RAPID COMMUNICATIONS PHYSICAL REVIEW E 84, 065602(R) (2011)
 

Summary: RAPID COMMUNICATIONS
PHYSICAL REVIEW E 84, 065602(R) (2011)
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, F-75005 Paris, France
(Received 6 July 2011; published 27 December 2011)
Crumpled paper has recently emerged as a model for disordered media. Here we use wave propagation 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 that is 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 whose possible origin
is discussed. In addition, the effective paths behave differently in spheres and in cylinders. These results enable
the characterization of the sample structure and point toward the geometric rigidity of the configurations.
DOI: 10.1103/PhysRevE.84.065602 PACS number(s): 46.70.De, 43.40.+s, 46.40.-f
Crumpled paper has become a playground for studies on
disordered systems [1]. When strongly compressed, a thin
sheet folds into a polyhedral-like shape, so that most of the
energy is focused at the edges and vertices. Geometrical studies
considered characterizations such as the roughness of unfolded

  

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

 

Collections: Physics