Scaling exponents for fracture surfaces in homogeneous glass and glassy ceramics

Physical Review Letters

Volumn 97, Issue 13, 2006, Pages

  Bonamy, D ^a   Ponson, L ^a   Prades, S ^a   Bouchaud, E ^a   Guillot, C ^a  

^a les Atomes et les Molecules   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BRITTLE FRACTURE; CORRELATION METHODS; ELASTICITY; FUSED SILICA; MATHEMATICAL MODELS;

DAMAGE SCREENING; ELASTIC FRACTURE; HOMOGENEOUS GLASS; ROUGHNESS EXPONENT;

GLASS CERAMICS;

EID: 33749330084     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.97.135504     Document Type: Article

References (40)

1. B.B. Mandelbrot, D.E. Passoja, and A.J. Paullay, Nature (London) 308, 721 (1984). NATUAS 0028-0836 10.1038/308721a0
2. E. Bouchaud, J. Phys. Condens. Matter 9, 4319 (1997). JCOMEL 0953-8984 10.1088/0953-8984/9/21/002
3. L. Ponson, D. Bonamy, and E. Bouchaud, Phys. Rev. Lett. 96, 035506 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.035506
4. L. Ponson, Int. J. Fract. IJFRAP 0376-9429 140, 27 (2006).
5. F. Family and T. Vicsek, Dynamic of Fractal Surfaces (World Scientific, Singapore, 1991).
6. A.-L. Barabasi and H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, England, 1995).
7. A. Hansen and J. Schmittbuhl, Phys. Rev. Lett. 90, 045504 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.045504
8. J.P. Bouchaud, E. Bouchaud, G. Lapasset, and J. Planès, Phys. Rev. Lett. 71, 2240 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.2240
9. S. Ramanathan, D. Ertas, and D.S. Fisher, Phys. Rev. Lett. 79, 873 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.873
10. S. Ramanathan and D.S. Fisher, Phys. Rev. Lett. 79, 877 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.877
11. V.Y. Millman, N.A. Stelmashenko, and R. Blumenfeld, Prog. Mater. Sci. PRMSAQ 0079-6425 38, 425 (1994). 10.1016/0079-6425(94)90006-X
12. P. Daguier, B. Nghiem, E. Bouchaud, and F. Creuzet, Phys. Rev. Lett. 78, 1062 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.1062
13. H. Leshhorn, T. Nattermann, S. Sepanow, and L.-H. Tang, Ann. Phys. (Berlin) ANPYA2 0003-3804 6, 1 (1997).
14. J.M. Boffa, C. Allain, and J.P. Hulin, Eur. Phys. J. Appl. Phys. EPAPFV 1286-0050 2, 281 (1998). 10.1051/epjap:1998194
15. E. Bouchbinder, I. Procaccia, and S. Sela, Phys. Rev. Lett. 95, 255503 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.255503
16. L. Ponson, H. Auradou, P. Vié, and J.-P. Hulin, Phys. Rev. Lett. 97, 125501 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.125501
17. S. Prades, Int. J. Solids Struct. IJSOAD 0020-7683 42, 637 (2005); 10.1016/j.ijsolstr.2004.06.024
18. D. Bonamy, Int. J. Fract. IJFRAP 0376-9429 140, 3 (2006).
19. E. Guilloteau, H. Charrue, and F. Creuzet, Europhys. Lett. 34, 549 (1996); EULEEJ 0295-5075 10.1209/epl/i1996-00493-3
20. S. Héneaux and F. Creuzet, J. Am. Ceram. Soc. 83, 415 (2000). JACTAW 0002-7820
21. F. Célarié, Phys. Rev. Lett. 90, 075504 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.075504
22. G. Irwin, in Handbuch der Physik (Springer, New York, 1958).
23. H. Gao and J.R. Rice, J. Appl. Mech. 56, 828 (1989). JAMCAV 0021-8936
24. H. Larralde and R.C. Ball, Europhys. Lett. 30, 87 (1995). EULEEJ 0295-5075
25. R.V. Goldstein and R.L. Salganik, Int. J. Fract. IJFRAP 0376-9429 10, 507 (1974). 10.1007/BF00155254
26. B. Cotterell and J.R. Rice, Int. J. Fract. IJFRAP 0376-9429 16, 155 (1980). 10.1007/BF00012619
27. J.A. Hodgdon and J.P. Sethna, Phys. Rev. B PRBMDO 0163-1829 47, 4831 (1993). 10.1103/PhysRevB.47.4831
28. A.B. Movchan, H. Gao, and J.R. Willis, Int. J. Solids Struct. IJSOAD 0020-7683 35, 3419 (1998). 10.1016/S0020-7683(97)00231-X
29. P. Chauve, T. Giamarchi, and P. Le Doussal, Phys. Rev. B PRBMDO 0163-1829 62, 6241 (2000). 10.1103/PhysRevB.62.6241
30. A. Rosso and W. Krauth, Phys. Rev. E 65, 025101(R) (2002). PLEEE8 1063-651X 10.1103/PhysRevE.65.025101
31. J. Schmittbuhl, S. Roux, J.P. Vilotte, and K.J. Maloy, Phys. Rev. Lett. 74, 1787 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.1787
32. A. Tanguy, M. Gounelle, and S. Roux, Phys. Rev. E 58, 1577 (1998). PLEEE8 1063-651X 10.1103/PhysRevE.58.1577
33. L. Van Brutzel, Mater. Res. Soc. Symp. Proc. MRSPDH 0272-9172 703, V3.9 (2002);
34. C.L. Rountree, Annu. Rev. Mater. Res. ARMRCU 1531-7331 32, 377 (2002). 10.1146/annurev.matsci.32.111201.142017
35. J.-P. Guin and S.M. Wiederhorn, Phys. Rev. Lett. 92, 215502 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.215502
36. J.-P. Guin S.M. Wiederhorn Int. J. Fract. IJFRAP 0376-9429 (to be published).
37. O. Narayan and D.S. Fisher, Phys. Rev. B PRBMDO 0163-1829 48, 7030 (1993). 10.1103/PhysRevB.48.7030
38. J. Schmittbuhl and K.J. Maloy, Phys. Rev. Lett. 78, 3888 (1997); PRLTAO 0031-9007 10.1103/PhysRevLett.78.3888
39. K.J. Maloy, S. Santucci, J. Schmittbuhl, and R. Toussaint, Phys. Rev. Lett. 96, 045501 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.045501
40. A. Rosso and W. Krauth, Phys. Rev. Lett. 87, 187002 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.187002