Fractal features of a crumpling network in randomly folded thin matter and mechanics of sheet crushing

被引:24
作者
Balankin, Alexander S. [1 ]
Horta Rangel, Antonio [2 ]
Garcia Perez, Gregorio [1 ]
Gayosso Martinez, Felipe [1 ]
Sanchez Chavez, Hugo [1 ]
Martinez-Gonzalez, Claudia L. [1 ]
机构
[1] Inst Politecn Nacl, ESIME Zacatenco, Grp Mecan Fractal, Mexico City 07738, DF, Mexico
[2] Univ Guanajuato, Guanajuato 36250, Mexico
来源
PHYSICAL REVIEW E | 2013年 / 87卷 / 05期
关键词
STRESS; MODEL; DYNAMICS; STATE;
D O I
10.1103/PhysRevE.87.052806
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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.
引用
收藏
页数:11
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