Model of crack propagation in heterogeneous materials

被引:1
作者
Daguier, P [1 ]
Bouchaud, E [1 ]
Lapasset, G [1 ]
机构
[1] Off Natl Etud & Rech Aerosp, OM, F-92322 Chatillon, France
来源
JOURNAL DE PHYSIQUE IV | 1998年 / 8卷 / P4期
关键词
D O I
10.1051/jp4:1998414
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A continuous numerical model of crack propagation in a bidimensional heterogeneous material is presented. This model describes the propagation of a macrocrack into a two-phase brittle material with a finite density of inclusions. The morphology of the cracks produced for various mechanical and microstructural conditions is analysed. The simulated cracks are self-affine and there exist two fracture regimes, each of them being characterized by a roughness index independent of the microstructure. Relevant length scales, on the contrary, depend on the microstructural parameters. It is shown that there exists a microstructure leading to an optimal fracture toughness.
引用
收藏
页码:123 / 128
页数:6
相关论文
共 19 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]   MODELS OF FRACTAL CRACKS [J].
BOUCHAUD, JP ;
BOUCHAUD, E ;
LAPASSET, G ;
PLANES, J .
PHYSICAL REVIEW LETTERS, 1993, 71 (14) :2240-2243
[3]   SLIGHTLY CURVED OR KINKED CRACKS [J].
COTTERELL, B ;
RICE, JR .
INTERNATIONAL JOURNAL OF FRACTURE, 1980, 16 (02) :155-169
[4]   Quantitative analysis of a fracture surface by atomic force microscopy [J].
Daguier, P ;
Henaux, S ;
Bouchaud, E ;
Creuzet, F .
PHYSICAL REVIEW E, 1996, 53 (06) :5637-5642
[5]   RANDOM FUSE MODEL FOR BREAKING PROCESSES. [J].
de Arcangelis, L. ;
Redner, S. .
Journal de physique. Lettres, 1985, 46 (13) :585-590
[6]   ROUGHNESS OF 2-DIMENSIONAL CRACKS IN WOOD [J].
ENGOY, T ;
MALOY, KJ ;
HANSEN, A ;
ROUX, S .
PHYSICAL REVIEW LETTERS, 1994, 73 (06) :834-837
[7]  
GUILLOTEAU E, 1995, THESIS
[8]   ROUGHNESS OF CRACK INTERFACES [J].
HANSEN, A ;
HINRICHSEN, EL ;
ROUX, S .
PHYSICAL REVIEW LETTERS, 1991, 66 (19) :2476-2479
[9]  
HUTCHINSON JW, 1987, ACTA METALL, V6, P605
[10]   PERCOLATION, STATISTICAL TOPOGRAPHY, AND TRANSPORT IN RANDOM-MEDIA [J].
ISICHENKO, MB .
REVIEWS OF MODERN PHYSICS, 1992, 64 (04) :961-1043