Spiral patterns in the packing of flexible structures

被引:52
作者
Boue, L. [1 ]
Adda-Bedia, M. [1 ]
Boudaoud, A. [1 ]
Cassani, D. [1 ]
Couder, Y. [1 ]
Eddi, A. [1 ]
Trejo, M. [1 ]
机构
[1] Ecole Normale Super, Lab Phys Stat, F-75231 Paris 05, France
关键词
D O I
10.1103/PhysRevLett.97.166104
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Spiral patterns are found to be a generic feature in close-packed elastic structures. We describe model experiments of compaction of quasi-1D sheets into quasi-2D containers that allow simultaneous quantitative measurements of mechanical forces and observation of folded configurations. Our theoretical approach shows how the interplay between elasticity and geometry leads to a succession of bifurcations responsible for the emergence of such patterns. Both experimental forces and shapes are also reproduced without any adjustable parameters.
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页数:4
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共 19 条
[1]   Crumpled paper [J].
BenAmar, M ;
Pomeau, Y .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1959) :729-755
[2]   Geometry of crumpled paper [J].
Blair, DL ;
Kudrolli, A .
PHYSICAL REVIEW LETTERS, 2005, 94 (16)
[3]   Dynamics of singularities in a constrained elastic plate [J].
Boudaoud, A ;
Patricio, P ;
Couder, Y ;
Ben Amar, M .
NATURE, 2000, 407 (6805) :718-720
[4]   WING FOLDING AND FREE-FLIGHT KINEMATICS IN COLEOPTERA (INSECTA) - A COMPARATIVE-STUDY [J].
BRACKENBURY, JH .
JOURNAL OF ZOOLOGY, 1994, 232 :253-283
[5]   Confined developable elastic surfaces:: cylinders, cones and the Elastica [J].
Cerda, E ;
Mahadevan, L .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2055) :671-700
[6]   Conical dislocations in crumpling [J].
Cerda, E ;
Chaieb, S ;
Melo, F ;
Mahadevan, L .
NATURE, 1999, 401 (6748) :46-49
[7]   Experimental study of developable cones [J].
Chaieb, S ;
Melo, F ;
Geminard, JC .
PHYSICAL REVIEW LETTERS, 1998, 80 (11) :2354-2357
[8]   Scaling properties in the packing of crumpled wires [J].
Donato, CC ;
Gomes, MAF ;
de Souza, RE .
PHYSICAL REVIEW E, 2003, 67 (02) :8-261108
[9]   A mechanical basis for chromosome function [J].
Kleckner, N ;
Zickler, D ;
Jones, GH ;
Dekker, J ;
Padmore, R ;
Henle, J ;
Hutchinson, J .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2004, 101 (34) :12592-12597
[10]   The geometry of unfolding tree leaves [J].
Kobayashi, H ;
Kresling, B ;
Vincent, JFV .
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1998, 265 (1391) :147-154