Roughness of interfacial crack fronts: Stress-weighted percolation in the damage zone

Physical Review Letters

Volumn 90, Issue 4, 2003, Pages 455051-455054

  Schmittbuhl, Jean ^a,c   Hansen, Alex ^a,d   Batrouni, G George ^b  

^a UNIVERSITY OF BRASILIA   (Brazil)

^b UNIVERSITÉ CÔTE D'AZUR   (France)

^c LABORATOIRE DE GÉOLOGIE   (France)

^d NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; CRACK PROPAGATION; DEFORMATION; GREEN'S FUNCTION; MATHEMATICAL MODELS; MICROCRACKS; PERCOLATION (SOLID STATE); PERTURBATION TECHNIQUES; POISSON EQUATION; SURFACE CHEMISTRY;

INTERFACIAL CRACK FRONTS;

SURFACE ROUGHNESS;

EID: 0037473898     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. J. Schmittbuhl, S. Roux, J. P. Vilotte, and K. J. Måløy, Phys. Rev. Lett. 74, 1787 (1995).
2. J. Schmittbuhl and K. J. Måloy, Phys. Rev. Lett. 78, 3888 (1997).
3. B. B. Mandelbrot, D. E. Passoja, and A. J. Paullay, Nature (London) 308, 721 (1984).
4. S. R. Brown and C. H. Scholz, J. Geophys. Res. 90, 12575 (1985).
5. E. Bouchaud, G. Lapasset, and J. Planés, Europhys. Lett. 13, 73 (1990); K. J. Måløy, A. Hansen, E. L. Hinrichsen, and S. Roux, Phys. Rev. Lett. 68, 213 (1992); J. Schmittbuhl, S. Gentier, and S. Roux, Geophys. Res. Lett. 20, 639 (1993); B. L. Cox and J. S. Y. Wang, Fractals 1, 87 (1993); J. Schmittbuhl, F. Schmitt, and C. H. Scholz, J. Geophys. Res. 100, 5953 (1995).
6. E. Bouchaud, G. Lapasset, and J. Planés, Europhys. Lett. 13, 73 (1990); K. J. Måløy, A. Hansen, E. L. Hinrichsen, and S. Roux, Phys. Rev. Lett. 68, 213 (1992); J. Schmittbuhl, S. Gentier, and S. Roux, Geophys. Res. Lett. 20, 639 (1993); B. L. Cox and J. S. Y. Wang, Fractals 1, 87 (1993); J. Schmittbuhl, F. Schmitt, and C. H. Scholz, J. Geophys. Res. 100, 5953 (1995).
7. E. Bouchaud, G. Lapasset, and J. Planés, Europhys. Lett. 13, 73 (1990); K. J. Måløy, A. Hansen, E. L. Hinrichsen, and S. Roux, Phys. Rev. Lett. 68, 213 (1992); J. Schmittbuhl, S. Gentier, and S. Roux, Geophys. Res. Lett. 20, 639 (1993); B. L. Cox and J. S. Y. Wang, Fractals 1, 87 (1993); J. Schmittbuhl, F. Schmitt, and C. H. Scholz, J. Geophys. Res. 100, 5953 (1995).
8. E. Bouchaud, G. Lapasset, and J. Planés, Europhys. Lett. 13, 73 (1990); K. J. Måløy, A. Hansen, E. L. Hinrichsen, and S. Roux, Phys. Rev. Lett. 68, 213 (1992); J. Schmittbuhl, S. Gentier, and S. Roux, Geophys. Res. Lett. 20, 639 (1993); B. L. Cox and J. S. Y. Wang, Fractals 1, 87 (1993); J. Schmittbuhl, F. Schmitt, and C. H. Scholz, J. Geophys. Res. 100, 5953 (1995).
9. E. Bouchaud, G. Lapasset, and J. Planés, Europhys. Lett. 13, 73 (1990); K. J. Måløy, A. Hansen, E. L. Hinrichsen, and S. Roux, Phys. Rev. Lett. 68, 213 (1992); J. Schmittbuhl, S. Gentier, and S. Roux, Geophys. Res. Lett. 20, 639 (1993); B. L. Cox and J. S. Y. Wang, Fractals 1, 87 (1993); J. Schmittbuhl, F. Schmitt, and C. H. Scholz, J. Geophys. Res. 100, 5953 (1995).
10. P. Daugier, S. Henaux, E. Bouchaud, and F. Creuzet, Phys. Rev. E 53, 5637 (1996); P. Daugier, B. Nghiem, E. Bouchaud, and F. Creuzet, Phys. Rev. Lett. 78, 1062 (1997).
11. P. Daugier, S. Henaux, E. Bouchaud, and F. Creuzet, Phys. Rev. E 53, 5637 (1996); P. Daugier, B. Nghiem, E. Bouchaud, and F. Creuzet, Phys. Rev. Lett. 78, 1062 (1997).
12. A. Delaplace, J. Schmittbuhl, and K. J. Måløy, Phys. Rev. E 60, 1337 (1999).
13. A. Prevost, E. Rolley, and C. Guthmann, Phys. Rev. B 65, 064517 (2002).
14. H. Gao and J. R. Rice, J. Appl. Mech. 56, 828 (1989).
15. D. Ertas and M. Kardar, Phys. Rev. E 49, 2532 (1994).
16. P. Chauve, P. Le Doussal, and K. J. Wiese, Phys. Rev. Lett 86, 1785 (2001).
17. A. Rosso and W. Krauth, Phys. Rev. E 65, 025101 (2002).
18. G. Perrin and J. R. Rice, J. Mech. Phys. Solids 42, 1047 (1994); S. Ramanathan and D. S. Fisher, Phys. Rev. Lett. 79, 877 (1997); Phys. Rev. B 58, 6026 (1998); J. W. Morrissey and J. R. Rice, J. Mech. Phys. Solids 46, 467 (1998); 48, 1229 (2000).
19. G. Perrin and J. R. Rice, J. Mech. Phys. Solids 42, 1047 (1994); S. Ramanathan and D. S. Fisher, Phys. Rev. Lett. 79, 877 (1997); Phys. Rev. B 58, 6026 (1998); J. W. Morrissey and J. R. Rice, J. Mech. Phys. Solids 46, 467 (1998); 48, 1229 (2000).
20. G. Perrin and J. R. Rice, J. Mech. Phys. Solids 42, 1047 (1994); S. Ramanathan and D. S. Fisher, Phys. Rev. Lett. 79, 877 (1997); Phys. Rev. B 58, 6026 (1998); J. W. Morrissey and J. R. Rice, J. Mech. Phys. Solids 46, 467 (1998); 48, 1229 (2000).
21. G. Perrin and J. R. Rice, J. Mech. Phys. Solids 42, 1047 (1994); S. Ramanathan and D. S. Fisher, Phys. Rev. Lett. 79, 877 (1997); Phys. Rev. B 58, 6026 (1998); J. W. Morrissey and J. R. Rice, J. Mech. Phys. Solids 46, 467 (1998); 48, 1229 (2000).
22. G. Perrin and J. R. Rice, J. Mech. Phys. Solids 42, 1047 (1994); S. Ramanathan and D. S. Fisher, Phys. Rev. Lett. 79, 877 (1997); Phys. Rev. B 58, 6026 (1998); J. W. Morrissey and J. R. Rice, J. Mech. Phys. Solids 46, 467 (1998); 48, 1229 (2000).
23. J. Åström, M. Alava, and J. Timonen, Phys. Rev. E 62, 2878 (2000).
24. L. Landau and E. M. Lifshitz, Theory of Elasticity (Clarendon Press, Oxford, 1958).
25. K. L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1985).
26. G. G. Batrouni, A. Hansen, and J. Schmittbuhl, Phys. Rev. E 65, 036126 (2002).
27. F. Family and T. Vicsek, J. Phys. A 18, L75 (1985).
28. K. J. Måløy and J. Schmittbuhl, Phys. Rev. Lett. 87, 105502 (2001).
29. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, Washington, D.C., 1992).
30. B. Sapoval, M. Rosso, and J. F. Gouyet, J. Phys. (Paris), Lett. 46, L149 (1985).
31. A. Hansen and J. Schmittbuhl, cond-mat/0207360.
32. S. Zapperi, H. J. Herrmann, and S. Roux, Eur. Phys. J. B 17, 131 (2000).