English

Ridge Network in Crumpled Paper

Soft Condensed Matter 2009-11-13 v2 Other Condensed Matter

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.

Keywords

Cite

@article{arxiv.cond-mat/0703020,
  title  = {Ridge Network in Crumpled Paper},
  author = {Christian Andre Andresen and Alex Hansen and Jean Schmittbuhl},
  journal= {arXiv preprint arXiv:cond-mat/0703020},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T11:43:54.756Z