Anomalous strength of membranes with elastic ridges

被引:57
作者
DiDonna, BA [1 ]
Witten, TA [1 ]
机构
[1] Univ Chicago, James Franck Inst, Chicago, IL 60637 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.87.206105
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We report on a simulational study of the compression and buckling of elastic ridges formed by joining the boundary of a flat sheet to itself. Such ridges store energy anomalously: their resting energy scales as the Linear size of the sheet to the 1/3 power. We find that the energy required to buckle such a ridge is a fixed multiple of the resting energy. Thus thin sheets with elastic ridges such as crumpled sheets are qualitatively stronger than smoothly bent sheets.
引用
收藏
页码:206105 / 1
页数:4
相关论文
共 10 条
  • [1] [Anonymous], TOPICS NONLINEAR ELA
  • [2] Crumpled paper
    BenAmar, M
    Pomeau, Y
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1959): : 729 - 755
  • [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] Conical dislocations in crumpling
    Cerda, E
    Chaieb, S
    Melo, F
    Mahadevan, L
    [J]. NATURE, 1999, 401 (6748) : 46 - 49
  • [5] Landau L. D., 1959, THEORY ELASTICITY
  • [6] SCALING PROPERTIES OF STRETCHING RIDGES IN A CRUMPLED ELASTIC SHEET
    LOBKOVSKY, A
    GENTGES, S
    LI, H
    MORSE, D
    WITTEN, TA
    [J]. SCIENCE, 1995, 270 (5241) : 1482 - 1485
  • [7] Boundary layer analysis of the ridge singularity in a thin plate
    Lobkovsky, AE
    [J]. PHYSICAL REVIEW E, 1996, 53 (04): : 3750 - 3759
  • [8] Properties of ridges in elastic membranes
    Lobkovsky, AE
    Witten, TA
    [J]. PHYSICAL REVIEW E, 1997, 55 (02): : 1577 - 1589
  • [9] DEFECTS IN FLEXIBLE MEMBRANES WITH CRYSTALLINE ORDER
    SEUNG, HS
    NELSON, DR
    [J]. PHYSICAL REVIEW A, 1988, 38 (02): : 1005 - 1018
  • [10] Vetterling W. T, 2002, NUMERICAL RECIPES C