Balankin Alexander S, Horta Rangel Antonio, García Pérez Gregorio, Gayosso Martinez Felipe, Sanchez Chavez Hugo, Martínez-González Claudia L
Grupo Mecánica Fractal, ESIME-Zacatenco, Instituto Politécnico Nacional, México D.F., Mexico 07738.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052806. doi: 10.1103/PhysRevE.87.052806. Epub 2013 May 20.
We study the static and dynamic properties of networks of crumpled creases formed in hand crushed sheets of paper. The fractal dimensionalities of crumpling networks in the unfolded (flat) and folded configurations are determined. Some other noteworthy features of crumpling networks are established. The physical implications of these findings are discussed. Specifically, we state that self-avoiding interactions introduce a characteristic length scale of sheet crumpling. A framework to model the crumpling phenomena is suggested. Mechanics of sheet crushing under external confinement is developed. The effect of compaction geometry on the crushing mechanics is revealed.
我们研究了手工挤压纸张形成的褶皱网络的静态和动态特性。确定了展开（平坦）和折叠构型下褶皱网络的分形维数。还发现了褶皱网络的其他一些值得注意的特征。讨论了这些发现的物理意义。具体而言，我们指出自回避相互作用引入了纸张褶皱的特征长度尺度。提出了一个模拟褶皱现象的框架。研究了外部约束下纸张挤压的力学原理。揭示了压实几何形状对挤压力学的影响。
