Scaling relation for a compact crumpled thin sheet

被引:15
作者
Bai, Wubin [1 ]
Lin, Yen-Chih [1 ]
Hou, Tzon-Kun [1 ]
Hong, Tzay-Ming [1 ]
机构
[1] Natl Tsing Hua Univ, Dept Phys, Hsinchu 300, Taiwan
来源
PHYSICAL REVIEW E | 2010年 / 82卷 / 06期
关键词
D O I
10.1103/PhysRevE.82.066112
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
A high-pressure chamber was designed to study crumpling beyond the power-law regime. Preceded by a smooth transition, the crumpled ball that characterizes the high-pressure state contains less than 50% air and exhibits separate ordered domains. All data for different sheet thicknesses, sizes, and numbers were found to collapse to a master line when using volume ratio and pressure as the plotting parameters, which suggests the existence of a scaling relation. Based on these findings, we deduced a bundled-layer model that could consistently explain six outstanding properties at both low and high pressures. This successful union of theory and experiment has strong bearings on other soft-matter systems where similar changes in mechanical response are also linked to reorganization of structure.
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页数:5
相关论文
共 24 条
[1]   Ridge network in crumpled paper [J].
Andresen, Christian Andre ;
Hansen, Alex ;
Schmittbuhl, Jean .
PHYSICAL REVIEW E, 2007, 76 (02)
[2]   Layering in crumpled sheets [J].
Aristoff, D. ;
Radin, C. .
EPL, 2010, 91 (05)
[3]   Fractal topology of hand-crumpled paper [J].
Balankin, Alexander S. ;
Samayoa Ochoa, Didier ;
Andres Miguel, Israel ;
Patino Ortiz, Julian ;
Martinez Cruz, Miguel Angel .
PHYSICAL REVIEW E, 2010, 81 (06)
[4]   Scaling properties of randomly folded plastic sheets [J].
Balankin, Alexander S. ;
Campos Silva, Ivan ;
Martinez, Omar Antonio ;
Susarrey Huerta, Orlando .
PHYSICAL REVIEW E, 2007, 75 (05)
[5]   Geometry of crumpled paper [J].
Blair, DL ;
Kudrolli, A .
PHYSICAL REVIEW LETTERS, 2005, 94 (16)
[6]  
De Gennes PG, 1979, SCALING CONCEPTS POL
[7]   Crumpled states of a wire in a two-dimensional cavity with pins [J].
Gomes, M. A. F. ;
Brito, V. P. ;
Araujo, M. S. ;
Donato, C. C. .
PHYSICAL REVIEW E, 2010, 81 (03)
[8]   Acoustic emission from crumpling paper [J].
Houle, PA ;
Sethna, JP .
PHYSICAL REVIEW E, 1996, 54 (01) :278-283
[9]   CRUMPLING TRANSITION IN POLYMERIZED MEMBRANES [J].
KANTOR, Y ;
NELSON, DR .
PHYSICAL REVIEW LETTERS, 1987, 58 (26) :2774-2777
[10]   STATISTICAL-MECHANICS OF TETHERED SURFACES [J].
KANTOR, Y ;
KARDAR, M ;
NELSON, DR .
PHYSICAL REVIEW LETTERS, 1986, 57 (07) :791-794