Self-affine properties of fractures in brittle materials

被引:16
作者
Parisi, A
Caldarelli, G
机构
[1] Univ La Sapienza, INFM, Unita Roma 1, I-00185 Rome, Italy
[2] Univ Warwick, Dept Phys, Coventry CV4 7AL, W Midlands, England
来源
PHYSICA A | 2000年 / 280卷 / 1-2期
关键词
roughness; fracture; brittle;
D O I
10.1016/S0378-4371(99)00633-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present the result of numerical simulations for a fracturing process in a three-dimensional solid subjected to a mode-I load in a quasi-static regime. The solid is described using the Born model on an FCC lattice with a starting notch. We obtain a value of the roughness exponent zeta similar or equal to 0.5 in agreement with the value measured in microfracturing experiments. Our result supports the idea that at small length scales the fracturing process can be considered as quasi-static, which is the basic of the possible application of the model of line depinning to the case of fractures. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:161 / 165
页数:5
相关论文
共 14 条
[1]   FRACTAL DIMENSION OF FRACTURED SURFACES - A UNIVERSAL VALUE [J].
BOUCHAUD, E ;
LAPASSET, G ;
PLANES, J .
EUROPHYSICS LETTERS, 1990, 13 (01) :73-79
[2]   Scaling properties of cracks [J].
Bouchaud, E .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1997, 9 (21) :4319-4344
[3]   Self-organization and annealed disorder in a fracturing process [J].
Caldarelli, G ;
DiTolla, FD ;
Petri, A .
PHYSICAL REVIEW LETTERS, 1996, 77 (12) :2503-2506
[4]   FRACTAL AND TOPOLOGICAL PROPERTIES OF DIRECTED FRACTURES [J].
CALDARELLI, G ;
CASTELLANO, C ;
VESPIGNANI, A .
PHYSICAL REVIEW E, 1994, 49 (04) :2673-2679
[5]   Pinning and depinning of crack fronts in heterogeneous materials [J].
Daguier, P ;
Nghiem, B ;
Bouchaud, E ;
Creuzet, F .
PHYSICAL REVIEW LETTERS, 1997, 78 (06) :1062-1065
[6]   Anisotropic scaling in threshold critical dynamics of driven directed lines [J].
Ertas, D ;
Kardar, M .
PHYSICAL REVIEW B, 1996, 53 (06) :3520-3542
[7]  
Falconer J, 1990, FRACTAL GEOMETRY MAT
[8]  
Herrmann HJ., 1990, STAT MODELS FRACTURE
[9]   EXPERIMENTAL MEASUREMENTS OF THE ROUGHNESS OF BRITTLE CRACKS [J].
MALOY, KJ ;
HANSEN, A ;
HINRICHSEN, EL ;
ROUX, S .
PHYSICAL REVIEW LETTERS, 1992, 68 (02) :213-215
[10]   FRACTAL CHARACTER OF FRACTURE SURFACES OF METALS [J].
MANDELBROT, BB ;
PASSOJA, DE ;
PAULLAY, AJ .
NATURE, 1984, 308 (5961) :721-722