Generalization of Barenblatt's cohesive fracture theory for fractal cracks

Fractals

Volumn 10, Issue 2, 2002, Pages 189-198

  Yavari, Arash ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Cohesive Fracture Theory; Fractal Crack; Fractal Fracture

Indexed keywords

EID: 0036343841     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X02001075     Document Type: Article

References (43)

1. Geometric integration on fractal curves in the plane
2. The Gauss-Green theorem for fractal boundaries
3. Numerical integration of vector fields over curves with zero area
4. Surface integrals for domains with fractal boundaries and some applications to elasticity
5. Cracks with fractal surfaces
6. Fractal J-integral in fracture
7. Mechanics of fractal cracks in brittle solids
8. Fracture energy in a fractal crack propagating in concrete or rock
9. Fractal fracture of brittle bodies during compression
10. Cracks with a fractal surface
11. Fractal cracks
12. Models of self-affine cracks in brittle and ductile materials
13. The effect of fracture surface morphology on the crack mechanics in a brittle material
14. Physics of fracture and mechanics of self-affine cracks
15. Some applications of the fractal parametric-homogeneous functions
16. Fracture energy of brittle and quasi-brittle fractal cracks
17. Some fractal models of fracture
18. Fractal fracture mechanics - A review
19. The fractal effect of irregularity of crack branching on the fracture toughness of brittle materials
20. Fractal effects of crack propagation on dynamic stress intensity factors and crack velocities
21. The fourth mode of fracture in fractal fracture mechanics
22. The mechanics of self-similar and self-affine fractal cracks
23. On fractal cracks in micropolar elastic solids
24. Fractals and fractal scaling in fracture mechanics
25. The foundations of classical mechanics in the light of recent advances in continuum mechanics
26. The phenomenon of rupture and flow in solids
27. On the energy of the Griffith crack
28. On the Griffith energy criterion for brittle fracture
29. On Griffith's theory
30. Analysis of stresses and strains near the end of a crack traversing a Plate
31. Some basic problems in fracture mechanics and new concepts
32. Fundamentals of brittle behavior in metals
33. The role of plasticity in toughening of ductile metals and interfaces
34. Work of fracture and cohesive stress distributions resulting from triaxiality dependent cohesive model
35. Thermodynamics of the quasi-static growth of Griffith cracks
36. Crack-tip problem in non-local elasticity
37. The mathematical theory of equilibrium cracks in brittle fracture
38. A path independent integral and the approximate analysis of strain concentration by notches and cracks
39. Mathematical analysis in the mechanics of fracture
40. A comparison of the fracture criteria of Griffith and Barenblatt