Subcritical statistics in rupture of fibrous materials: Experiments and model

被引:75
作者
Santucci, S [1 ]
Vanel, L [1 ]
Ciliberto, S [1 ]
机构
[1] Ecole Normale Super Lyon, Phys Lab, CNRS, UMR 5672, F-69364 Lyon 07, France
关键词
D O I
10.1103/PhysRevLett.93.095505
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study experimentally the slow growth of a single crack in a fibrous material and observe stepwise growth dynamics. We model the material as a lattice where the crack is pinned by elastic traps and grows due to thermally activated stress fluctuations. In agreement with experimental data we find that the distribution of step sizes follows subcritical point statistics with a power law (exponent 3/2) and a stress-dependent exponential cutoff diverging at the critical rupture threshold.
引用
收藏
页码:095505 / 1
页数:4
相关论文
共 21 条
[1]   MECHANICAL BEHAVIOR OF SAPPHIRE WHISKERS AT ELEVATED TEMPERATURES [J].
BRENNER, SS .
JOURNAL OF APPLIED PHYSICS, 1962, 33 (01) :33-&
[2]   Elastic theory has zero radius of convergence [J].
Buchel, A ;
Sethna, JP .
PHYSICAL REVIEW LETTERS, 1996, 77 (08) :1520-1523
[3]   Statistical mechanics of cracks: Fluctuations, breakdown, and asymptotics of elastic theory [J].
Buchel, A ;
Sethna, JP .
PHYSICAL REVIEW E, 1997, 55 (06) :7669-7690
[4]   Application of the crack layer theory to modeling of slow crack growth in polyethylene [J].
Chudnovsky, A ;
Shulkin, Y .
INTERNATIONAL JOURNAL OF FRACTURE, 1999, 97 (1-4) :83-102
[5]   The effect of disorder on the fracture nucleation process [J].
Ciliberto, S ;
Guarino, A ;
Scorretti, R .
PHYSICA D, 2001, 158 (1-4) :83-104
[6]   RATE OF MICROCRACK NUCLEATION [J].
GOLUBOVIC, L ;
FENG, S .
PHYSICAL REVIEW A, 1991, 43 (10) :5223-5227
[7]  
Griffith A.A., 1921, PHILOS T R SOC LOND, V221, P163, DOI DOI 10.1098/RSTA.1921.0006
[8]   The effect of temperature on crack-lattice trapping [J].
Kitamura, K ;
Maksimov, IL ;
Nishioka, K .
PHILOSOPHICAL MAGAZINE LETTERS, 1997, 75 (06) :343-350
[9]   DYNAMIC-MODEL OF ONSET AND PROPAGATION OF FRACTURE [J].
LANGER, JS .
PHYSICAL REVIEW LETTERS, 1993, 70 (23) :3592-3594
[10]  
LAWN BR, 1975, FRACTURE BRITTLE SOL