Crumpling of a stiff tethered membrane -: art. no. 244301

被引:29
作者
Åström, JA
Timonen, J
Karttunen, M
机构
[1] Ctr Comp Sci, FIN-02101 Espoo, Finland
[2] Univ Jyvaskyla, Dept Phys, FIN-40014 Jyvaskyla, Finland
[3] Helsinki Univ Technol, Lab Computat Engn, FIN-02015 Espoo, Finland
关键词
D O I
10.1103/PhysRevLett.93.244301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A first-principles numerical model for crumpling of a stiff tethered membrane is introduced. This model displays wrinkles, ridge formation, ridge collapse, and initiation of stiffness divergence. The amplitude and wavelength of the wrinkles and the scaling exponent of the stiffness divergence are consistent with both theory and experiment. Close to the stiffness divergence further buckling is hindered by the nonzero thickness of the membrane, and its elastic behavior becomes similar to that of dry granular media. No change in the distribution of contact forces can be observed at the crossover, implying that the network of ridges is then simultaneously a granular force-chain network.
引用
收藏
页数:4
相关论文
共 21 条
[1]   Conical dislocations in crumpling [J].
Cerda, E ;
Chaieb, S ;
Melo, F ;
Mahadevan, L .
NATURE, 1999, 401 (6748) :46-49
[2]   Geometry and physics of wrinkling [J].
Cerda, E ;
Mahadevan, L .
PHYSICAL REVIEW LETTERS, 2003, 90 (07) :4
[3]   Conical surfaces and crescent singularities in crumpled sheets [J].
Cerda, E ;
Mahadevan, L .
PHYSICAL REVIEW LETTERS, 1998, 80 (11) :2358-2361
[4]   Crescent singularities and stress focusing in a buckled thin sheet:: Mechanics of developable cones [J].
Chaïeb, S ;
Melo, F .
PHYSICAL REVIEW E, 1999, 60 (05) :6091-6103
[5]   Scaling of the buckling transition of ridges in thin sheets [J].
DiDonna, BA .
PHYSICAL REVIEW E, 2002, 66 (01)
[6]   Anomalous strength of membranes with elastic ridges [J].
DiDonna, BA ;
Witten, TA .
PHYSICAL REVIEW LETTERS, 2001, 87 (20) :206105-1
[7]   Singularities, structures, and scaling in deformed m-dimensional elastic manifolds -: art. no. 016603 [J].
DiDonna, BA ;
Witten, TA ;
Venkataramani, SC ;
Kramer, EM .
PHYSICAL REVIEW E, 2002, 65 (01) :1-016603
[8]  
*EPAPS, EPRLTAO93076542 EPAP
[9]   Buckling of actin-coated membranes under application of a local force [J].
Helfer, E ;
Harlepp, S ;
Bourdieu, L ;
Robert, J ;
MacKintosh, FC ;
Chatenay, D .
PHYSICAL REVIEW LETTERS, 2001, 87 (08) :881031-881034
[10]   Acoustic emission from crumpling paper [J].
Houle, PA ;
Sethna, JP .
PHYSICAL REVIEW E, 1996, 54 (01) :278-283