Crack-front instability in a confined elastic film

被引:43
作者
Adda-Bedia, M.
Mahadevan, L.
机构
[1] Harvard Univ, Div Engn & Appl Sci, Cambridge, MA 02138 USA
[2] Ecole Normale Super, Lab Phys Stat, F-75231 Paris, France
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2006年 / 462卷 / 2075期
关键词
fracture; peeling; adhesion; instability;
D O I
10.1098/rspa.2006.1708
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
We study the undulatory instability of a straight crack front generated by peeling a flexible elastic plate from a thin elastomeric adhesive film. We show that there is a threshold for the onset of the instability that is dependent on the ratio of two length-scales that arise naturally in the problem: the thickness of the film and an elastic length defined by the stiffness of the plate and that of the film. A linear stability analysis predicts that the wavelength of the instability scales linearly with the film thickness. Our results are qualitatively and quantitatively consistent with recent experiments, and show how crack fronts may lose stability due to a competition between bulk and surface effects in the presence of multiple length scales.
引用
收藏
页码:3233 / 3251
页数:19
相关论文
共 18 条
[1]   CRACK INSTABILITIES OF A HEATED GLASS STRIP [J].
ADDABEDIA, M ;
POMEAU, Y .
PHYSICAL REVIEW E, 1995, 52 (04) :4105-4113
[2]   OBSERVATIONS ON FINGER-LIKE CRACK-GROWTH AT A URETHANE ACRYLATE GLASS INTERFACE [J].
CONLEY, KM ;
GU, W ;
RITTER, JE ;
LARDNER, TJ .
JOURNAL OF ADHESION, 1992, 39 (04) :173-184
[3]   FINGER-LIKE CRACK GROWTH IN SOLIDS AND LIQUIDS [J].
FIELDS, RJ ;
ASHBY, MF .
PHILOSOPHICAL MAGAZINE, 1976, 33 (01) :33-48
[4]   Meniscus instability in a thin elastic film [J].
Ghatak, A ;
Chaudhury, MK ;
Shenoy, V ;
Sharma, A .
PHYSICAL REVIEW LETTERS, 2000, 85 (20) :4329-4332
[5]   Measuring the work of adhesion between a soft confined film and a flexible plate [J].
Ghatak, A ;
Mahadevan, L ;
Chaudhury, MK .
LANGMUIR, 2005, 21 (04) :1277-1281
[6]   Peeling from a biomimetically patterned thin elastic film [J].
Ghatak, A ;
Mahadevan, L ;
Chung, JY ;
Chaudhury, MK ;
Shenoy, V .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2004, 460 (2049) :2725-2735
[7]   Adhesion-induced instability patterns in thin confined elastic film [J].
Ghatak, A ;
Chaudhury, MK .
LANGMUIR, 2003, 19 (07) :2621-2631
[8]  
GHATAK A, 2005, CONFINEMENT INDUCED
[9]   2 MIXED PROBLEMS FOR A SEMI-INFINITE LAYER [J].
KEER, LM ;
SILVA, MAG .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1972, 39 (04) :1121-1124
[10]   THE ENERGY OF A STEADY-STATE CRACK IN A STRIP [J].
LIU, XM ;
MARDER, M .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1991, 39 (07) :947-961