Fold analysis of crumpled sheets using microcomputed tomography
Fold analysis of crumpled sheets using microcomputed tomography
复制标题
使用微型计算机断层扫描对起皱的纸张进行折叠分析
DOI：
10.1103/physreve.104.025005
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发表时间：
2021
影响因子：
2.4
通讯作者：
Nakanishi Hiizu
中科院分区：
文献类型：
--
作者：
Hayase Yumino;Aonuma Hitoshi;Takahara Satoshi;Sakaue Takahiro;Kaneko Shun'ichi;Nakanishi Hiizu
手揉纸团涉及复杂的结构与网络的折痕和顶点，但显示简单的缩放特性，这表明自相似的结构。我们调查的内部结构的皱巴巴的文件，由微型计算机断层扫描（micro-CT），而不破坏或展开他们。从重建的三维（3D）数据，我们检查了几个幂律的大小为300毫米的皱巴巴的正方形纸页，并获得质量分形维数之间的关系的质量和回转半径的球和分形维数为每个皱巴巴的纸球的内部结构的盒计数方法在真实的空间和傅立叶空间中的结构因子。纸张的数据是一致的，这表明每个揉皱球的结构的自相似性引起了不同大小的球之间的相似性。我们还检查了玻璃纸和铝箔的大小，并获得了两者。微型CT还允许我们重建在起皱的纸张上绘制的线条的3D结构。Hurst指数的均方根位移沿着线估计为长度尺度短于尺度的回转半径，超过该尺度的线结构变得更加随机。
Hand-crumpled paper balls involve intricate structure with a network of creases and vertices, yet show simple scaling properties, which suggests self-similarity of the structure. We investigate the internal structure of crumpled papers by the microcomputed tomography (micro-CT) without destroying or unfolding them. From the reconstructed three-dimensional (3D) data, we examine several power laws for the crumpled square sheets of paper of the sizes–300 mm and obtain the mass fractal dimensionby the relation between the mass and the radius of gyration of the balls and the fractal dimensionfor the internal structure of each crumpled paper ball by the box counting method in the real space and the structure factors in the Fourier space. The data for the paper sheets are consistent with, suggesting that the self-similarity in the structure of each crumpled ball gives rise to the similarity among the balls with different sizes. We also examine the cellophane sheets and the aluminium foils of the sizemm and obtainfor both of them. The micro-CT also allows us to reconstruct 3D structure of a line drawn on the crumpled sheets of paper. The Hurst exponent for the root-mean-square displacement along the line is estimated asfor the length scale shorter than the scale of the radius of gyration, beyond which the line structure becomes more random with.