Direct fractal measurement and multifractal properties of fracture surfaces

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 242, Issue 1-2, 1998, Pages 41-50

  Xie, Heping ^a   Wang, Jin An ^a   Stein, E ^b  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Fractal dimension; Fracture surface; Multifractal; Projective covering method

Indexed keywords

FRACTURE;

FRACTAL MEASUREMENT; FRACTURE SURFACES; LASER PROFILOMETERS; MULTI FRACTALS; MULTI-FRACTAL PROPERTY; MULTIFRACTAL BEHAVIOR; PROBABILITY FUNCTIONS; PROJECTIVE COVERING METHOD;

FRACTAL DIMENSION;

EID: 0002617021     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00098-X     Document Type: Article

References (16)

1. B.B. Mandelbrot, The Fractal of Nature (Freeman, New York, 1982), p. 468.
2. B.B. Mandelbrot, Fractal Character of Fracture Surface of Metals, Nature (London) 308 (1984) 721.
3. H. Xie, W.G. Pariseau, Science in China (Series B), 37 (1994) 1269.
4. H. Xie, Fractals in Rock Mechanics (Balkema, Rotterdam, Brookfield, 1993), p. 453.
5. J.R. Carr, J.B. Warriner, Bull Assoc. Eng. Geol. 24 (1989) 253.
6. Y.H. Lee, J.R. Carr, D.J. Barr, C.J. Haas, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 127 (1990) 453.
7. S.L. Huang et al., Int. J. Rock Mech. Min. Sci. 29 (1992) 89.
8. C.Y. Poon et al., J. Phys. D: Appl. Phys. 25 (1992) 1269.
9. S.M. Miller, P.C. McWilliams, J.C. Kerkering, in: Proc. 31th U.S. Symp. Rock Mech., eds. W.A. Hustrulid, G.A. Jonhson, (Balkema, Rotterdam, 1990), p. 471.
10. N.E. Odling, Rock Mech. Eng. 27 (1994) 135.
11. J.A. Wang, H. Xie, M.A. Kwaśniewski, J. China Coal Sci. 1 (1996) 16.
12. M.A. Kwaśniewski, J.A. Wang, in: Géotechnique et Environnement, eds. J.P. Piguet, F. Homand, Vandœvre-lès-Nancy, Sciences de la Terre, 1993, p. 163.
13. K. Falconer, Fractal Geometry, Mathematical Foundations and Applications (Wiley, Chichester, 1990), p. 288.
14. J.A. Wang, On Fractal Characterization of Rock Fracture Surface, Post Doctoral Thesis, China University of Mining and Technology, Beijing, (1997).
15. J. Feder, Fractals (Plenum, New York, 1988), p. 383.
16. A. Chhabra, R.V. Jensen, Phys. Rev. Lett. 62 (1989) 1237.