Second-order variation in elastic fields of a tensile planar crack with a curved front

被引:24
作者
Adda-Bedia, M
Katzav, E
Vandembroucq, D
机构
[1] Ecole Normale Super, Phys Stat Lab, F-75231 Paris 05, France
[2] CNRS, Unite Mixte Rech St Gobain, Surface Verre & Interfaces, F-93303 Aubervilliers, France
来源
PHYSICAL REVIEW E | 2006年 / 73卷 / 03期
关键词
D O I
10.1103/PhysRevE.73.035106
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We derive the second-order variation in the local static stress intensity factor of a tensile crack with a curved front. We then discuss the relevance of this result to the stability analysis of such fronts, and propose an equation of motion of planar crack fronts in heterogeneous media that contains two main ingredients-irreversibility of the propagation of the crack front and nonlinear effects.
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页数:4
相关论文
共 24 条
[1]   Brittle fracture dynamics with arbitrary paths III. The branching instability under general loading [J].
Adda-Bedia, M .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2005, 53 (01) :227-248
[2]   CRACK INSTABILITIES OF A HEATED GLASS STRIP [J].
ADDABEDIA, M ;
POMEAU, Y .
PHYSICAL REVIEW E, 1995, 52 (04) :4105-4113
[3]  
ADDABEDIA M, IN PRESS P R SOC LON
[4]   Comment on "Roughness of interfacial crack fronts: Stress-weighted percolation in the damage zone" [J].
Alava, MJ ;
Zapperi, S .
PHYSICAL REVIEW LETTERS, 2004, 92 (04)
[5]  
[Anonymous], 2003, MECANIQUE RUPTURE FR
[6]   Can crack front waves explain the roughness of cracks? [J].
Bouchaud, E ;
Bouchaud, JP ;
Fisher, DS ;
Ramanathan, S ;
Rice, JR .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2002, 50 (08) :1703-1725
[7]   Material-independent crack arrest statistics [J].
Charles, Y ;
Vandembroucq, D ;
Hild, F ;
Roux, S .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2004, 52 (07) :1651-1669
[8]   SLIGHTLY CURVED OR KINKED CRACKS [J].
COTTERELL, B ;
RICE, JR .
INTERNATIONAL JOURNAL OF FRACTURE, 1980, 16 (02) :155-169
[9]   High resolution description of a crack front in a heterogeneous Plexiglas block [J].
Delaplace, A ;
Schmittbuhl, J ;
Måloy, KJ .
PHYSICAL REVIEW E, 1999, 60 (02) :1337-1343
[10]   Instability in dynamic fracture [J].
Fineberg, J ;
Marder, M .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1999, 313 (1-2) :1-108