Abstract
Crumpled thin foils as exemplified by crumpled paper balls are complex fractal structures that belong to the class of auxetic materials, i.e. materials with negative Poisson coefficient. Here we report evidence that the unpacking of a crumpled surface is controlled asymptotically by a strain-strain relation similar in form to the Richardson scaling which describes the diffusion of particles in a turbulent fluid. This relationship was found using several photographs that recorded the expansion of the transverse deformation of the crumpled paper balls. Through an image analysis program we show that the average transversal expansion (or the maximum transverse distance ) exhibits an asymptotic power law scaling with the pull strain Δx. The analysis of the photographs of transverse dilatation also showed some aspects similar to those found in Lévy’s walking statistics.
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