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
    BenAmar, M
    Pomeau, Y
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1959): : 729 - 755
  • [2] Geometry of crumpled paper
    Blair, DL
    Kudrolli, A
    [J]. PHYSICAL REVIEW LETTERS, 2005, 94 (16)
  • [3] Dynamics of singularities in a constrained elastic plate
    Boudaoud, A
    Patricio, P
    Couder, Y
    Ben Amar, M
    [J]. NATURE, 2000, 407 (6805) : 718 - 720
  • [4] WING FOLDING AND FREE-FLIGHT KINEMATICS IN COLEOPTERA (INSECTA) - A COMPARATIVE-STUDY
    BRACKENBURY, JH
    [J]. JOURNAL OF ZOOLOGY, 1994, 232 : 253 - 283
  • [5] Confined developable elastic surfaces:: cylinders, cones and the Elastica
    Cerda, E
    Mahadevan, L
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2055): : 671 - 700
  • [6] Conical dislocations in crumpling
    Cerda, E
    Chaieb, S
    Melo, F
    Mahadevan, L
    [J]. NATURE, 1999, 401 (6748) : 46 - 49
  • [7] Experimental study of developable cones
    Chaieb, S
    Melo, F
    Geminard, JC
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (11) : 2354 - 2357
  • [8] Scaling properties in the packing of crumpled wires
    Donato, CC
    Gomes, MAF
    de Souza, RE
    [J]. PHYSICAL REVIEW E, 2003, 67 (02): : 8 - 261108
  • [9] A mechanical basis for chromosome function
    Kleckner, N
    Zickler, D
    Jones, GH
    Dekker, J
    Padmore, R
    Henle, J
    Hutchinson, J
    [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
    Kobayashi, H
    Kresling, B
    Vincent, JFV
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1998, 265 (1391) : 147 - 154