Roughness of moving elastic lines: Crack and wetting fronts

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 5, 2007, Pages

  Katzav, E ^a   Adda Bedia, M ^a   Ben Amar, M ^a   Boudaoud, A ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CRACKS; FRACTURE MECHANICS; NONLINEAR EQUATIONS; ROUGHNESS MEASUREMENT; WETTING;

DYNAMIC ROUGH PHASE; MOVING ELASTIC LINES; PROPAGATING CONTACT LINE; ROUGHNESS EXPONENT;

ELASTIC WAVES;

EID: 36249031600     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.051601     Document Type: Article

References (49)

1. D. S. Fisher, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98)00008-8 301, 113 (1998).
2. E. Bouchaud, J. P. Bouchaud, D. S. Fisher, S. Ramanathan, and J. R. Rice, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/S0022-5096(01)00137-5 50, 1703 (2002).
3. V. Y. Milman, N. A. Stelmashenko, and R. Blumenfeld, Prog. Mater. Sci. PRMSAQ 0079-6425 10.1016/0079-6425(94)90006-X 38, 425 (1994).
4. H. Gao and J. R. Rice, J. Appl. Mech. JAMCAV 0021-8936 56, 828 (1989).
5. S. Ramanathan and D. S. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.877 79, 877 (1997).
6. S. Ramanathan and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.6026 58, 6026 (1998).
7. J. F. Joanny and P.-G. de Gennes, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.447337 81, 552 (1984).
8. Y. Pomeau and J. Vannimenus, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/0021-9797(85)90055-4 104, 477 (1984).
9. M. O. Robbins and J. F. Joanny, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/3/6/013 3, 729 (1987);
10. J. F. Joanny and M. O. Robbins, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.458579 92, 3206 (1990).
11. A. Rosso and W. Krauth, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.025101 65, 025101 (R) (2002).
12. P. Daguier, E. Bouchaud, and G. Lapasset, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/31/7/005 31, 367 (1995).
13. J. Schmittbuhl and K. J. Måløy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3888 78, 3888 (1997);
14. A. Delaplace, J. Schmittbuhl, and K. J. Måløy, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.1337 60, 1337 (1999).
15. K. J. Måløy, S. Santucci, J. Schmittbuhl, and R. Toussaint, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.045501 96, 045501 (2006).
16. A. Prevost, E. Rolley, and C. Guthmann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.064517 65, 064517 (2002).
17. S. Moulinet, C. Guthmann, and E. Rolley, Eur. Phys. J. E EPJSFH 1292-8941 8, 437 (2002).
18. J. Schmittbuhl, A. Hansen, and G. G. Batrouni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.045505 90, 045505 (2003);
19. J. Schmittbuhl, A. Hansen, and G. G. Batrouni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.049602 92, 049602 (2004);
20. M. J. Alava and S. Zapperi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.049601 92, 049601 (2004).
21. R. Golestanian and E. Raphaël, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.031603 67, 031603 (2003).
22. P. LeDoussal, K. J. Wiese, E. Raphaël, and R. Golestanian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.015702 96, 015702 (2006).
23. M. Adda-Bedia, E. Katzav, and D. Vandembroucq, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.035106 73, 035106 (R) (2006).
24. E. Katzav and M. Adda-Bedia, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10273-7 76, 450 (2006).
25. E. Bouchbinder, M. Bregman, and I. Procaccia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.025101 76, 025101 (2007).
26. M. Schwartz and S. F. Edwards, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/20/4/003 20, 301 (1992);
27. M. Schwartz and S. F. Edwards, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.5730 57, 5730 (1998).
28. E. Katzav and M. Schwartz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.011601 70, 011601 (2004).
29. M. Kardar, G. Parisi, and Y. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.889 56, 889 (1986).
30. K. J. Wiese, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000026730. 76868.c4 93, 143 (1998).
31. E. Katzav, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02)00589-7 308, 25 (2002);
32. E. Katzav, Physica A PHYADX 0378-4371 309, 72 (2002);
33. E. Katzav, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.046113 68, 046113 (2003).
34. L. B. Freund, Dynamic Fracture Mechanics (Cambridge University Press, New York, 1990).
35. G. R. Irwin, J. Appl. Mech. JAMCAV 0021-8936 24, 361 (1957).
36. E. Sultan, A. Boudaoud, and M. Ben Amar, J. Eng. Math. JLEMAU 0022-0833 10.1007/s10665-004-1244-0 50, 209 (2004).
37. E. Sultan, A. Boudaoud, and M. Ben Amar, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005006348 543, 183 (2005).
38. T. D. Blake and J. L. Haynes, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/0021-9797(69)90411-1 30, 421 (1969).
39. P.-G. de Gennes, Colloid Polym. Sci. CPMSB6 0303-402X 10.1007/BF01419552 264, 463 (1986).
40. R. G. Cox, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112086000332 168, 169 (1986).
41. O. V. Voinov, Fluid Dyn. FLDYAH 0015-4628 10.1007/BF01012963 11, 714 (1976).
42. L. M. Pismen and Y. Pomeau, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.2480 62, 2480 (2000).
43. Y. Pomeau, C. R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron. CMCAEK 1251-8069 330, 207 (2002).
44. E. Katzav, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.031607 68, 031607 (2003).
45. J. Schmittbuhl, J.-P. Vilotte, and S. Roux, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.131 51, 131 (1995).
46. J. R. Herring, Phys. Fluids PFLDAS 0031-9171 10.1063/1.1761185 8, 2219 (1965).
47. E. Katzav and M. Schwartz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.061608 70, 061608 (2004).
48. M. Schwartz and S. F. Edwards, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.061602 70, 061602 (2004).
49. T. Ondarçuhu and M. Veyssi, Nature (London) NATUAS 0028-0836 10.1038/352418a0 352, 418 (1991).