Anisotropic self-affine properties of experimental fracture surfaces

International Journal of Fracture

Volumn 140, Issue 1-4, 2006, Pages 27-37

  Ponson, Laurent ^a,b   Bonamy, D ^a   Auradou, H ^b   Mourot, G ^c   Morel, S ^c   Bouchaud, E ^a   Guillot, C ^a   Hulin, J P ^b  

^a les Atomes et les Molecules   (France)

^b Centre National de la Recherche Scientifique   (France)

^c University Bordeaux I2M UMR CNRS 5295   (France)

Author keywords

Fractal cracks; Roughening

Indexed keywords

ALUMINUM ALLOYS; ANISOTROPY; BRITTLENESS; CORRELATION METHODS; CRACK PROPAGATION; FUSED SILICA; SURFACE ROUGHNESS;

ANISOTROPIC SELF-AFFINE PROPERTIES; HURST EXPONENT; SCALING PROPERTIES;

FRACTURE MECHANICS;

EID: 33749349631     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-005-3059-z     Document Type: Conference Paper

References (28)

1. J.J. Amman E. Bouchaud 1998 'Characterization of self-affine surfaces from 3D digital reconstruction' European Physical Journal-Applied Physics 4 133-142 10.1051/epjap:1998252 1998EPJAP...4..133A
2. Barabási, A.L. and Stanley, H.E. (1995). Fractal Concepts in Surface Growth. Cambridge University Press.
3. D. Bonamy S. Prades L. Ponson D. Dalmas C.L. Rountree E. Bouchaud C. Guillot 2006 Experimental investigation of damage and fracture in glassy materials at the nanometer scale International Journal of Materials and Product Technology 26 339-353
4. E. Bouchaud 1997 Scaling properties of cracks Journal of Physics Condens. Matter 9 4319-4344 10.1088/0953-8984/9/21/002 1997JPCM....9.4319B
5. E. Bouchaud G. Lapasset J. Planès 1990 Fractal dimension of fractured surfaces: A universal value? Europhysics Letters 13 73-79 1990EL.....13...73B
6. J.P. Bouchaud E. Bouchaud G. Lapasset J. Planès 1993 Models of fractal cracks Physical Review Letters 71 2240-2243 10.1103/ PhysRevLett.71.2240 1993PhRvL..71.2240B
7. P. Daguier B. Nghiem E. Bouchaud F. Creuzet 1997 Pinning and depinning of crackfronts in heterogeneous materials Physical Review Letters 78 1062-1065 10.1103/PhysRevLett.78.1062 1997PhRvL..78.1062D
8. S.F. Edwards D.R. Wilkinson 1982 The surface statistics of a granular aggregate Proceedings of the Royal Society of London, Series A 381 17-31 661715 1982RSPSA.381...17E
9. Family, F. and Vicsek, T. (1991). Dynamics of Fractal Surfaces. World Scientific.
10. A. Hansen J. Schmittbuhl 2003 Origin of the universal roughness exponent of brittle fracture surfaces: Stress weighted percolation in the damage zone Physical Review Letters 90 4550410.1103/PhysRevLett.90.045504 2003PhRvL..90d5504H
11. M. Kardar 1998 Nonequilibrium dynamics of interfaces and lines Physics Reports 301 85-892 10.1016/S0370-1573(98)00007-6
12. M. Kardar G. Parisi Y.-C. Zhang 1986 Dynamic scaling of growing interfaces Physical Review Letters 56 889-892 10.1103/PhysRevLett.56.889 1986PhRvL..56..889K
13. J.M. Lopez J. Schmittbuhl 1998 Anomalous scaling of fracture surfaces Physical Review E 57 6405-6408 10.1103/PhysRevE.57.6405 1998PhRvE..57.6405L
14. K.J. Maløy A. Hansen E.L. Hinrichsen S. Roux 1992 Experimental measurements of the roughness of brittle cracks Physical Review Letters 68 213-215 10.1103/PhysRevLett.68.213 1992PhRvL..68..213J
15. B.B. Mandelbrot D.E. Passoja A.J. Paullay 1984 Fractal character of fracture surfaces of metals Nature 308 721-722 10.1038/308721a0
16. S. Morel G. Mourot J. Schmittbuhl 2003 Influence of the specimen geometry on R-curve behavior and roughening of fracture surfaces International Journal of Fracture 121 23-42 10.1023/A:1026221405998
17. Mourot, G., Morel, S., Bouchaud, E. and Valentin, G. (2005). Anomalous scaling of mortar fracture surfaces. Physical Review E 71, 016136-1-016136-7.
18. Ponson, L., Bonamy, D. and Bouchaud, E. (2005). Method and system to determine the path followed by at least one crack from one or several fracture surfaces created by the said crack(s). American patent application No. 11/311, 280.
19. L. Ponson D. Bonamy E. Bouchaud 2006 Two-dimensional scaling properties of experimental fracture surfaces Physical Review Letters 96 03550610.1103/PhysRevLett.96.035506 2006PhRvL..96c5506P
20. S. Prades D. Bonamy D. Dalmas E. Bouchaud E. Guillot 2004 Nano-ductile crack propagation in glasses under stress corrosion: Spatiotemporal evolution of damage in the vicinity of the crack tip International Journal of Solids and Structures 42 637-645 10.1016/ j.ijsolstr.2004.06.024
21. S. Ramanathan D. Ertas D.S. Fisher 1997 Quasistatic crack propagation in heterogeneous media Physical Review Letters 79 873-876 10.1103/ PhysRevLett.79.873 1997PhRvL..79..873R
22. S. Ramanathan D.S. Fisher 1997 Dynamics and instabilities of planar tensile cracks in heterogeneous media Physical Review Letters 79 877-880 10.1103/PhysRevLett.79.877 1997PhRvL..79..877R
23. Rosso, A. (2002). Dépiégeage de variétés élastiques en milieu aléatoire. Ph.D. thesis, Paris VI.
24. Roux, S. and H. Herrmann: 1990, Statistical Models for the Fracture of Disordered Media. Elsevier.
25. S. Roux D. Vandembroucq 2002 Depinning transition as a critical phenomenon International Journal of Modern Physics B17 4113-4122 2003IJMPB..17.4113R
26. J. Schmittbuhl S. Gentier S. Roux 1993 Field measurements of the roughness of fault surfaces Geophysical Research Letters 20 639-641 1993GeoRL..20..639S
27. J. Schmittbuhl S. Roux Y. Berthaud 1994 Development of roughness in crack propagation Euro. lett 28 585-590
28. J. Schmittbuhl F. Schmitt C. Scholz 1995 Scaling invariance of crack surfaces Journal of Geophysical Research 100 5953-5973 10.1029/94JB02885 1995JGR...100.5953S