The Geometry of Crumpled Paper

Details The Geometry of Crumpled Paper The Geometry of Crumpled Paper

2004-12-27

arxiv.org/abs/cond-mat/0412678v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 5 figures, uses revtex 4

Scientific paper

10.1103/PhysRevLett.94.166107

We measure the geometry of a crumpled sheet of paper with laser-aided topography and discuss its statistical properties. The curvature of an elasto-plastic fold scales linearly with applied force. The curvature distribution follows an exponential form with regions of high curvature localized along ridges. The measured ridge length distribution is consistent with a hierarchical model for ridge breaking during crumpling. A large fraction of the ridges are observed to terminate without bifurcating and the ridge network connectedness is not as complete as anticipated. The self-affinity of the surface is characterized by a Hurst exponent of $0.72\pm 0.01$ in contrast with previous results.

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