Ridge Network in Crumpled Paper

Abstract

The network formed by ridges in a straightened sheet of crumpled paper is studied using a laser profilometer. Square sheets of paper were crumpled into balls, unfolded and their height profile measured. From these profiles the imposed ridges were extracted as networks. Nodes were defined as intersections between ridges, and links as the various ridges connecting the nodes. Many network and spatial properties have been investigated. The tail of the ridge length distribution was found to follow a power-law whereas the shorter ridges followed a log-normal distribution. The degree distribution was found to have an exponentially decaying tail, and the degree correlation was found to be disassortative. The facets created by the ridges and the Voronoi diagram formed by the nodes have also been investigated.

8 pages, 10 figure, 2 tables Replaced due to wrong formating of author names

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• Simulation of crumpled sheets via alternating quasistatic and dynamic representations
• Topological Complexity of Frictional Interfaces: Friction Networks
• Effect of Ridge-Ridge Interactions in Crumpled Thin Sheets
• Rim curvature anomaly in thin conical sheets revisited
• The Structure of Fluctuating Thin Sheets Under Random Forcing
• Dynamics of Fluctuating Thin Sheets Under Random Forcing
• Transition to stress focusing for locally curved sheets