Anomalous roughness of fracture surfaces in 2D fuse models

International Journal of Fracture

Volumn 154, Issue 1-2, 2008, Pages 119-130

  Nukala, Phani K V V ^a   Zapperi, Stefano ^b,c   Alava, Mikko J ^d   Šimunović, Srdłan ^a  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

^c ISI FOUNDATION   (Italy)

^d AALTO UNIVERSITY   (Finland)

Author keywords

Anomalous scaling; Crack roughness; Multi affine scaling; Stochastic excursions

Indexed keywords

COALESCENCE; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; TWO DIMENSIONAL;

ANOMALOUS ROUGHNESS; ANOMALOUS SCALING; BIN SIZES; CRACK BRANCHING; CRACK PROFILES; FRACTURE SURFACES; FUSE MODELS; MULTI-AFFINE SCALING; MULTI-SCALING; NUMERICAL RESULTS; OPEN BOUNDARY CONDITIONS; PROBABILITY DENSITY DISTRIBUTIONS; RANDOM FUSE MODELS; SCALING FORMS; SCALING RELATIONS; SOLID ON SOLIDS; STOCHASTIC EXCURSIONS; SYSTEM SIZES;

CRACKS;

EID: 60949098373     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-008-9298-z     Document Type: Article

References (41)

1. Alava MJ, Nukala PKVV, Zapperi S (2006a) Statistical models of fracture. Adv Phys 55: 349-476
2. Alava MJ, Nukala PKVV, Zapperi S (2006b) Morphology of two-dimensional fracture surfaces. J Stat Mech: Theor Exp L10002
3. Bakke JOH, Bjelland J, Ramstad T, Stranden T, Hansen A, Schmittbuhl J (2003) Roughness of brittle fractures as a correlated percolation problem. Phys Scripta T 106: 65-69
4. Bakke JOH, Ramstad T, Hansen A (2007) Roughness exponent measurements for the central force model. Phys Rev B 76: 054110
5. Baldassarri A, Colaiori F, Castellano C (2003) Average shape of a fluctuation: Universality of excursions of stochastic processes. Phys Rev Lett 90:060601 (4 pp)
6. Boffa JM, Allain C, Hulin JP (1998) Experimental analysis of fracture rugosity in granular and compact rocks. Eur Phys J Appl Phys 2: 281-289
7. Bonamy D, Ponson L, Prades S, Bouchaud E, Guillot C (2006) Scaling exponents of fracture surfaces in homogeneous glass and glassy ceramics. Phys Rev Lett 97: 135504 (4 pp)
8. Bouchaud E (1997) Scaling properties of cracks. J Phys Condens Matter 9: 4319-4344
9. Bouchaud E (2003) The morphology of fracture surfaces, a tool to understand crack propagation in complex materials. Surf Sci Rev Lett 10: 797-814
10. Bouchaud E, Lapasset G, Planés J, Navéos S (1993) Statistics of branched fracture surfaces. Phys Rev B 48: 2917-2928
11. Bouchbinder E, Procaccia I, Santucci S, Vanel L (2006) Fracture surfaces as multiscaling graphs. Phys Rev Lett 96: 055509 (4 pp)
12. Bouchbinder E, Procaccia I, Sela S (2006) Statistical physics of fracture surfaces morphology. J Stat Phys 125: 1029-1068
13. Daguier P, Nghiem B, Bouchaud E, Creuzet F (1997) Pinning and depinning of crack fronts in heterogeneous materials. Phys Rev Lett 78: 1062-1065
14. de Arcangelis L, Redner S, Herrmann HJ (1985) A random fuse model for breaking processes. J Phys (Paris) Lett 46: 585-590
15. Engoy T, Maloy KJ, Hansen A, Roux S (1994) Roughness of two-dimensional cracks in wood. Phys Rev Lett 73: 834-837
16. Hansen A, Hinrichsen EL, Roux S (1991) Roughness of crack interfaces. Phys Rev Lett 66: 2476-2479
17. Herrmann HJ, Roux S (1990) Statistical models for the fracture of disordered media. North-Holland, Amsterdam
18. Kertész J, Horvath VK, Weber F (1993) Self-affine rupture lines in paper sheets. Fractals 1: 67
19. López JM, Schmittbuhl J (1998) Anomalous scaling of fracture surfaces. Phys Rev E 57: 6405-6408
20. López JM, Rodríguez MA, Cuerno R (1997) Superroughening versus intrinsic anomalous scaling of surfaces. Phys Rev E 56: 3993-3998
21. Mallick N, Cortet PP, Santucci S, Roux SG, Vanel L (2007) Discrepancy between subcritical and fast rupture roughness: A cumulant analysis. Phys Rev Lett 98: 255502 (4 pp)
22. Maloy KJ, Hansen A, Hinrichsen EL, Roux S (1992) Experimental measurements of the roughness of brittle cracks. Phys Rev Lett 68: 213-215
23. Mandelbrot BB, Passoja DE, Paullay AJ (1984) Fractal character of fracture surfaces of metals. Nature (London) 308: 721-722
24. Mecholsky JJ, Passoja DE, Feinberg-Ringel KS (1989) Quantitative analysis of brittle fracture surfaces using fractal geometry. J Am Ceram Soc 72: 60-65
25. Menezes-Sobrinho IL, Couto MS, Ribeiro IRB (2005) Anisotropy in rupture lines of paper sheets. Phys Rev E 71: 066121 (6 pp)
26. Mitchell SJ (2005) Discontinuities in self-affine functions lead to multiaffinity. Phys Rev E 72: 065103 (4 pp)
27. Morel S, Schmittbuhl J, Loacute;pez JM, Valentin G (1998) Anomalous roughening of wood fractured surfaces. Phys Rev E 58: 6999-7005
28. Nukala PKVV, Simunovic S (2003) An efficient algorithm for simulating fracture using large fuse networks. J Phys A: Math Gen 36: 11403-11412
29. Nukala PKVV, Zapperi S, Simunovic S (2006) Crack surface roughness in three-dimensional random fuse networks. Phys Rev E 74: 026105 (8 pp)
30. Nukala PKVV, Zapperi S, Alava MJ, Simunovic S (2008) preprint
31. Ponson L, Bonamy D, Auradou H, Mourot G, Morel S, Bouchaud E, Guillot C, Hulin JP (2006a) Anisotropic self-affine properties of experimental fracture surfaces. Int J Fract 140: 27-37
32. Ponson L, Bonamy D, Bouchaud E (2006b) Two-dimensional scaling properties of experimental fracture surfaces. Phys Rev Lett 96: 035506 (4 pp)
33. Ponson L, Auradou H, Pessel M, Lazarus V, Hulin JP (2007) Failure mechanisms and surface roughness statistics of fractured Fontainebleau sandstone. Phys Rev E 76: 036108 (7 pp)
34. Rosti J, Salminen LI, Seppälä ET, Alava MJ, Niskanen KJ (2001) Printing of cracks in two-dimensional disordered media. Eur Phys J B 19: 259-263
35. Salminen LI, Alava MJ, Niskanen KJ (2003) Analysis of long crack lines in paper webs. Eur Phys J B 32: 369-374
36. Santucci S, Maloy KJ, Delaplace A, Mathiesen J, Hansen A, Bakke JOH, Schmittbuhl J, Vanel L, Ray P (2007) Statistics of fracture surfaces. Phys Rev E 75: 016104
37. Schmittbuhl J, Roux S, Berthaud Y (1994) Development of roughness in crack propagation. Europhys Lett 28: 585-590
38. Schmittbuhl J, Schmitt F, Scholz C (1995a) Scaling invariance of crack surfaces. J Geophys Res 100: 5953-5973
39. Schmittbuhl J, Vilotte JP, Roux S (1995b) Reliability of self-affine measurements. Phys Rev E 51: 131-147
40. Seppälä ET, Räisänen VI, Alava MJ (2000) Scaling of interfaces in brittle fracture and perfect plasticity. Phys Rev E 61: 6312-6319
41. Zapperi S, Nukala PKVV, Simunovic S (2005) Crack roughness and avalanche precursors in random fuse model. Phys Rev E 71: 026106 (10 pp)