Blair Daniel L, Kudrolli Arshad
Department of Physics, Clark University, Worcester, Massachusetts 01610, USA.
Phys Rev Lett. 2005 Apr 29;94(16):166107. doi: 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 elastoplastic 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 0.71+/-0.01 in contrast with previous results.
我们用激光辅助地形测量法测量了一张皱巴巴的纸的几何形状，并讨论了其统计特性。弹塑性褶皱的曲率与作用力呈线性比例关系。曲率分布呈指数形式，高曲率区域沿褶皱脊局部化。测量得到的褶皱脊长度分布与褶皱过程中褶皱脊断裂的分层模型一致。观察到很大一部分褶皱脊在没有分叉的情况下终止，并且褶皱脊网络的连通性不如预期的完整。与之前的结果相比，该表面的自相似性由赫斯特指数0.71±0.01表征。
