Geometry of crumpled paper
Geometry of crumpled paper
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DOI：
10.1103/physrevlett.94.166107
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发表时间：
2005-04-29
影响因子：
8.6
通讯作者：
Kudrolli, A
中科院分区：
文献类型：
--
作者：
Blair, DL;Kudrolli, A
我们测量具有激光辅助地形的纸张纸的几何形状，并讨论其统计特性。弹性折叠的曲率用施加力线性缩放。曲率分布遵循指数形式，其沿脊的高曲率区域位于高曲率的区域。测得的脊长度分布与折断过程中脊的分层模型一致。观察到很大一部分脊是在不分叉的情况下终止的，并且脊网络连接不像预期的那么完整。与先前的结果相比，表面的自我效果为0.71 +/- 0.01的特征。
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.