Size effect in fracture: Roughening of crack surfaces and asymptotic analysis

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 10, 2002, Pages 1-8

  Morel, Stéphane ^a   Bouchaud, Elisabeth ^b   Valentin, Gérard ^a  

^a University Bordeaux I2M UMR CNRS 5295   (France)

^b CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038348391     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.104101     Document Type: Article

References (27)

1. Z. P. Bažant, J. Eng. Mech. 110, 518 (1984).
2. Z. P. Bažant, Appl. Mech. Rev. 50, 593 (1997) and references therein.
3. W. Weibull, Proc. Royal Swedish Inst. Eng. Res. (Ingeniors Vetenskaps Akademien)153, 1 (1939).
4. M. Hori and S. Nemat-Nasser, J. Mech. Phys. Solids 35, 601 (1987).
5. M. Kachanov, Adv. Appl. Mech. 30, 259 (1994).
6. B. R. Lawn, Fracture of Brittle Solids, 2nd ed. (Cambridge University Press, Cambridge, England, 1993).
7. A. B. Mosolov, Europhys. Lett. 24, 673 (1993).
8. A. Carpinteri, Int. J. Solids Struct. 31, 291 (1994).
9. E. Bouchaud and J.-P. Bouchaud, Phys. Rev. B 50, 17 752 (1994).
10. A. S. Balankin, Int. J. Fract. 76, R63 (1996).
11. F. M. Borodich, J. Mech. Phys. Solids 45, 239 (1997).
12. Z. P. Bažant, Int. J. Fract. 83, 41 (1997).
13. S. Morel, J. Schmittbuhl, E. Bouchaud, and G. Valentin, Phys. Rev. Lett. 85, 1678 (2000).
14. R. H. Dauskardt, F. Haubensak, and R. O. Ritchie, Acta Metall. Mater. 38, 143 (1990).
15. E. Bouchaud, G. Lapasset, and J. Planés, Europhys. Lett. 13, 73 (1990).
16. F. Plouraboué, P. Kurowski, J.-P. Hulin, S. Roux, and J. Schmittbuhl, Phys. Rev. E 51, 1675 (1995).
17. J. Schmittbuhl, S. Roux, and Y. Berthaud, Europhys. Lett. 28, 585 (1994).
18. J. M. López and J. Schmittbuhl, Phys. Rev. E 57, 6405 (1998).
19. T. Engøy, K. J. Måløy, A. Hansen, and S. Roux, Phys. Rev. Lett. 73, 834 (1994).
20. S. Morel, J. Schmittbuhl, J. M. López, and G. Valentin, Phys. Rev. E 58, 6999 (1998).
21. E. Bouchaud, J. Phys.: Condens. Matter 9, 4319 (1997).
22. S. Das Sarma, S. V. Ghaisas, and J. M. Kim, Phys. Rev. E 49, 122 (1994).
23. J. M. López, M. A. Rodríquez, and R. Cuerno, Phys. Rev. E 56, 3993 (1997).
24. F. Family and T. Vicsek, Dynamics of Fractal Surfaces (World Scientific, Singapore, 1991).
25. Z. P. Bažant, Int. J. Fract. 83, 19 (1997).
26. Z. P. Bažant and M. T. Kazemi, J. Am. Ceram. Soc. 73, 1841 (1990).
27. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (Springer-Verlag, New York, 1999), Chaps. 9-11.