The smectic order of wrinkles

被引:39
作者
Aharoni, Hillel [1 ]
Todorova, Desislava V. [1 ]
Albarran, Octavio [2 ]
Goehring, Lucas [2 ,3 ]
Kamien, Randall D. [1 ]
Katifori, Eleni [1 ]
机构
[1] Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USA
[2] Max Planck Inst Dynam & Self Org MPIDS, D-37077 Gottingen, Germany
[3] Nottingham Trent Univ, Sch Sci & Technol, Nottingham NG11 8NS, England
来源
NATURE COMMUNICATIONS | 2017年 / 8卷
基金
美国国家科学基金会;
关键词
LAMELLAR; INSTABILITY; PATTERNS; DEFECTS;
D O I
10.1038/ncomms15809
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
A thin elastic sheet lying on a soft substrate develops wrinkled patterns when subject to an external forcing or as a result of geometric incompatibility. Thin sheet elasticity and substrate response equip such wrinkles with a global preferred wrinkle spacing length and with resistance to wrinkle curvature. These features are responsible for the liquid crystalline smectic-like behaviour of such systems at intermediate length scales. This insight allows better understanding of the wrinkling patterns seen in such systems, with which we explain pattern breaking into domains, the properties of domain walls and wrinkle undulation. We compare our predictions with numerical simulations and with experimental observations.
引用
收藏
页数:7
相关论文
共 33 条
[1]  
[Anonymous], 1976, Differential Geometry of Curves and Surfaces
[2]   Self-similar structures near boundaries in strained systems [J].
Audoly, B ;
Boudaoud, A .
PHYSICAL REVIEW LETTERS, 2003, 91 (08)
[3]   Crumpled paper [J].
BenAmar, M ;
Pomeau, Y .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1959) :729-755
[4]  
Biot M. A., 1937, J APPL MECH, V4, pA1, DOI DOI 10.1115/1.4008739
[5]   Curvature walls and focal conic domains in a lyotropic lamellar phase [J].
Blanc, C ;
Kléman, M .
EUROPEAN PHYSICAL JOURNAL B, 1999, 10 (01) :53-60
[6]   Wrinkle to fold transition: influence of the substrate response [J].
Brau, Fabian ;
Damman, Pascal ;
Diamant, Haim ;
Witten, Thomas A. .
SOFT MATTER, 2013, 9 (34) :8177-8186
[7]   Making the Cut: Lattice Kirigami Rules [J].
Castle, Toen ;
Cho, Yigil ;
Gong, Xingting ;
Jung, Euiyeon ;
Sussman, Daniel M. ;
Yang, Shu ;
Kamien, Randall D. .
PHYSICAL REVIEW LETTERS, 2014, 113 (24)
[8]   Geometry and physics of wrinkling [J].
Cerda, E ;
Mahadevan, L .
PHYSICAL REVIEW LETTERS, 2003, 90 (07) :4
[9]   Herringbone buckling patterns of compressed thin films on compliant substrates [J].
Chen, X ;
Hutchinson, JW .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2004, 71 (05) :597-603
[10]   Biaxially stretchable "Wavy" silicon nanomembranes [J].
Choi, Won Mook ;
Song, Jizhou ;
Khang, Dahl-Young ;
Jiang, Hanqing ;
Huang, Yonggang Y. ;
Rogers, John A. .
NANO LETTERS, 2007, 7 (06) :1655-1663