Roughness of Interfacial Crack Fronts: Stress-Weighted Percolation in the Damage Zone

Physical Review Letters

Volumn 90, Issue 4, 2003, Pages 4-

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

^a UNIVERSITY OF BRASILIA   (Brazil)

^b INSTITUT NON LINÉAIRE DE NICE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052973582     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.90.045505     Document Type: Article

References (32)

1. J. Schmittbuhl, S. Roux, J.P. Vilotte, and K.J. Måløy, Phys. Rev. Lett.10.1103/PhysRevLett.74.1787 74, 1787 (1995).
2. J. Schmittbuhl and K.J. Måloy, Phys. Rev. Lett.10.1103/PhysRevLett.78.3888 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.JGREA2 90, 12?575 (1985).
5. E. Bouchaud, G. Lapasset, and J. Planés, Europhys. Lett. 13, 73 (1990);
6. K.J. Måløy, A. Hansen, E.L. Hinrichsen, and S. Roux, Phys. Rev. Lett.10.1103/PhysRevLett.68.213 68, 213 (1992);
7. J. Schmittbuhl, S. Gentier, and S. Roux, Geophys. Res. Lett. 20, 639 (1993);
8. B.L. Cox and J.S.Y. Wang, Fractals 1, 87 (1993);
9. J. Schmittbuhl, F. Schmitt, and C.H. Scholz, J. Geophys. Res.JGREA2 100, 5953 (1995).
10. P. Daugier, S. Henaux, E. Bouchaud, and F. Creuzet, Phys. Rev. EPLEEE810.1103/PhysRevE.53.5637 53, 5637 (1996);
11. P. Daugier, B. Nghiem, E. Bouchaud, and F. Creuzet, Phys. Rev. Lett.10.1103/PhysRevLett.78.1062 78, 1062 (1997).
12. A. Delaplace, J. Schmittbuhl, and K.J. Måløy, Phys. Rev. EPLEEE810.1103/PhysRevE.60.1337 60, 1337 (1999).
13. A. Prevost, E. Rolley, and C. Guthmann, Phys. Rev. B10.1103/PhysRevB.65.064517 65, 064517 (2002).
14. H. Gao and J.R. Rice, J. Appl. Mech. 56, 828 (1989).
15. D. Ertas and M. Kardar, Phys. Rev. EPLEEE8 49, 2532 (1994).
16. P. Chauve, P. Le Doussal, and K.J. Wiese, Phys. Rev. Lett.10.1103/PhysRevLett.86.1785 86, 1785 (2001).
17. A. Rosso and W. Krauth, Phys. Rev. EPLEEE810.1103/PhysRevE.65.025101 65, 025101 (2002).
18. G. Perrin and J.R. Rice, J. Mech. Phys. SolidsJMPSA810.1016/0022-5096(94)90083-3 42, 1047 (1994);
19. S. Ramanathan and D.S. Fisher, Phys. Rev. Lett.10.1103/PhysRevLett.79.877 79, 877 (1997);
20. S. RamanathanD.S. FisherPhys. Rev. B10.1103/PhysRevB.58.6026 58, 6026 (1998);
21. J.W. Morrissey and J.R. Rice, J. Mech. Phys. SolidsJMPSA810.1016/S0022-5096(97)00072-0 46, 467 (1998);
22. J.W. MorrisseyJ.R. RiceJ. Mech. Phys. SolidsJMPSA810.1016/S0022-5096(99)00069-148, 1229 (2000).
23. J. Åström, M. Alava, and J. Timonen, Phys. Rev. EPLEEE810.1103/PhysRevE.62.2878 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. EPLEEE810.1103/PhysRevE.65.036126 65, 036126 (2002).
27. F. Family and T. Vicsek, J. Phys. AJPHAC5 18, L75 (1985).
28. K.J. Måløy and J. Schmittbuhl, Phys. Rev. Lett.10.1103/PhysRevLett.87.105502 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. B10.1007/s100510070168 17, 131 (2000).