A correspondence principle for fractal and classical cracks

Engineering Fracture Mechanics

Volumn 72, Issue 18, 2005, Pages 2744-2757

  Wnuk, Michael P ^a   Yavari, Arash ^b  

^a University of Wisconsin Milwaukee   (United States)

^b Georgia Institute of Technology   (United States)

Author keywords

Fractal crack; Fractal fracture; Notch mechanics

Indexed keywords

CRACKS; ELASTICITY; FRACTALS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PLASTICITY; STRESSES;

CLASSICAL CRACKS; FRACTAL CRACKS; FRACTAL FRACTURE; LINEAR ELASTIC FRACTURE MECHANICS; NOTCH MECHANICS;

FRACTURE MECHANICS;

FRACTURE MECHANICS;

EID: 25444469462     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2005.07.003     Document Type: Article

References (26)

1. A.S. Balankin Physics of fracture and mechanics of self-affine cracks Engng Fract Mech 57 2 1997 135-203
2. F.M. Borodich Some fractal models of fracture J Mech Phys Solids 45 2 1997 239-259
3. F.M. Borodich Fractals and fracture scaling in fracture mechanics Int J Fract 95 1999 239-259
4. E. Bouchaud Scaling properties of cracks J Phys: Condens Matter 9 1997 4319-4344
5. H.J. Catrakis P.E. Dimotakis Scale-dependent fractal geometry In: Chaté, et al. editors. Mixing: Chaos and turbulence 1999 Kluwer Academic New York
6. G.P. Cherepanov A.S. Balankin V.S. Ivanova Fractal fracture mechanics - a review Engng Fract Mech 51 6 1995 997-1033
7. M. Creager P.C. Paris Elastic field equations for blunt cracks with reference to stress corrosion cracking Int J Fract 3 1967 247-252
8. Z.-Y. Cui Z.-Z. Zhang S.-T. Zheng B.-S. Jin J.-M. Xiong The analysis of stress-strain field in a finite plate with a blunt crack Engng Fract Mech 19 1984 465-480
9. P.E. Dimotakis H.J. Catrakis Turbulence, fractals, and mixing In: Chaté, et al. Mixing: Chaos and turbulence 1999 Kluwer Academic New York
10. P.H. Francis W.L. Ko The effect of root radius on the direction of crack extension under combined mode loading Int J Fract 12 1976 243-252
11. R.V. Goldshteǐn A.A. Mosolov Cracks with a fractal surface Soviet Phys Doklady 38 8 1991 603-605
12. R.V. Goldshteǐn A.A. Mosolov Fractal cracks J App Math Mech 56 4 1991 563-571
13. A.A. Griffith The phenomenon of rupture and flow in solids Philos Trans R Soc London A 221 1921 163-198
14. GR Irwin Fracture I In: Flügge editor. Handbuck der Physik VI 1958 Springer 558-590
15. Z.-B. Kuang The stress field near the blunt crack tip and the fracture criterion Engng Fract Mech 16 1982 19-33
16. F.A. McClintock G.R. Irwin Plasticity aspects of fracture mechanics ASTM STP 381 1965 84-113
17. A.A. Mosolov Cracks with fractal surfaces Dokl Akad Nauk SSSR 319 4 1991 840-844
18. H. Neuber Theory of notch stresses 1958 Springer-Verlag Berlin
19. N. Pugno R.S. Ruoff Quantized fracture mechanics Philos Mag 84 27 2004 2829-2845
20. D. Taylor P. Cornetti N. Pugno The fracture mechanics of finite crack extension Engng Fract Mech 72 2005 1021-1038
21. C. Tricot Curves and fractal dimension 1995 Springer-Verlag New York
22. M.P. Wnuk A. Yavari On estimating stress intensity factors and modulus of cohesion for fractal cracks Engng Fract Mech 70 2003 1659-1674
23. H. Xie The fractal effect of irregularity of crack branching on the fracture toughness of brittle materials Int J Fract 41 1989 267-274
24. H. Xie D.J. Sanderson Fractal effects of crack propagation on dynamic stress intensity factors and crack velocities Int J Fract 74 1995 29-42
25. A. Yavari K.G. Hockett S. Sarkani The fourth mode of fracture in fractal fracture mechanics Int J Fract 101 4 2000 365-384
26. A. Yavari S. Sarkani E.T. Moyer The mechanics of self-similar and self-affine fractal cracks Int J Fract 114 2002 1-27