Fractal effects of surface roughness on the mechanical behavior of rock joints

Chaos, Solitons and Fractals

Volumn 8, Issue 2 SPEC. ISS., 1997, Pages 221-252

  Xie, Heping ^a   Wang, Jin An ^a   Xie, Wei Hong ^a  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTAL GEOMETRY; FRACTURE SURFACE; JOINT ROUGHNESS; MECHANICAL PROPERTIES; ROUGHNESS;

EID: 0030916426     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0960-0779(96)00050-1     Document Type: Article

References (44)

1. N. Barton, Review of a new shear strength criterion for rock joints, Engng Geol. 7, 287-322 (1973).
2. N. Barton and V. Choubey, The shear strength of rock joints in theory and practice, Rock Mechanics 10(2), 1-54 (1977).
3. J. D. Byerlee, Friction of rocks, Pure Appl. Geophys. 116, 615-626 (1978).
4. R. E. Goodman, The mechanical property of joints, in Proc. 3rd Cong. ISRM, I Part A, pp. 127-140, Denver (1974).
5. D. Bahat, Tectono-fractography, p. 354. Springer, Berlin, Heidelberg (1991).
6. E. T. Brown, Rock Characterization Testing & Monitoring - ISRM Suggested Methods, p. 211. Pergamon Press, Oxford (1981).
7. S. C. Bandis, Mechanical properties of rock joints, Rock Joints, edited by N. Barton and O. Stephansson, pp. 125-140. Balkema, Rotterdam (1990).
8. S. C. Bandis, A. C. Lumsden and N. R. Barton, Experimental studies of scale effects on the shear behavior of rock joints, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 18, 1-21 (1981).
9. S. C. Bandis, A. C. Lumsden and N. R. Barton, Fundamentals of rock joint deformation, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 20, 249-268 (1983).
10. N. Barton, S. C. Bandis and K. Bakhtar, Strength, deformation and conductivity coupling of rock joints, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 22, 121-140 (1985).
11. R. Tse and D. M. Cruden, Estimating joint roughness coefficient, Int. J. Rock Mech. Min. Sci & Geomech. Abstr. 16, 303-307 (1979).
12. Ö Aydan and T. Kawamoto, Discontinuities and their effects on rock mass, Rock Joints, edited by N. Barton and O. Stephansson, pp. 149-156. Balkema, Rotterdam (1990).
13. N. H. Maerz and J. A. Franklin, Roughness scale effect and fractal dimension, Scale Effect in Rock Masses, Proc. 1st Int. Workshop on Scale Effects in Rock Masses, edited by A. Pinto da Cunha, pp. 121-126. Balkema, Rotterdam/Brookfield (1990).
14. B. B. Mandelbrot, How long is the coast of Britain? Statistical self-similarity and fractal dimension, Science 155, 636-638 (1967).
15. B. B. Mandelbrot, The Fractal Geometry of Nature, p. 468. W. H. Freeman, New York (1982).
16. S. R. Brown and C. H. Scholz, Broad bandwidth study of the topography of natural rock surfaces, J. Geophys. Res. 90, 12,575-12,585 (1985).
17. S. M. Miller, P. C. McWilliams and J. C. Kerkering, Ambiguities in estimations of rock fracture surfaces, Rock Mechanics Contributions and Challenges: Proc. 31th U.S. Symp. Rock Mech., edited by W. A. Uustrulid and G. A. Johnson, pp. 471-478. Balkema, Rotterdam (1990).
18. S. L. Huang, S. M. Oelfke and R. C. Speck, Application of fractal characterization and modelling to rock joint profiles, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 29(2), 89-98 (1992).
19. H. Xie and W. G. Pariseau, Fractal estimation of joint roughness coefficients, Sciences in China (Series B), 37(12), 1516-1524 (1994).
20. N. Turk, M. J. Grieg, W. R. Dearman and F. F. Amin, Characterization of rock joint surface by fractal dimension, in Rock Mechanics: Proc. 28th U.S. Symp. Rock Mech. edited by I. W. Farmer, J. J. K. Daemen, C. S. Desai, C. E. Glass and S. P. Newman, pp. 1223-1236. Balkema, Boston (1987).
21. Y. H. Lee, D. J. Barr and C. J. Haas, The fractal dimension as a measure of the roughness of rock discontinuity profile, Int J. Rock Mech. Min. Sci. & Geomech. Abstr. 127, 453-464 (1990).
22. J. Muralha, Fractal dimension of jointed roughness surface, paper submitted for the ISRM Symp. Fractured and Jointed Rock Masses, Lake Tahoe (1992).
23. N. E. Odling, Natural fracture profiles, fractal dimension and joint roughness coefficients, Rock Mech. Rock Engng 27(3), 135-153 (1994).
24. B. K. Atkinson, Fracture Mechanics of Rock, edited by B. K. Atkinson, p. 534. Academic Press, Harcourt Brace Jovanovich, London (1987).
25. J. Xu et al., Experimental study on whole microcracking process of sandstone under uniaxial compression, Mech. & Practice (in Chinese) 4, 16-20 (1986).
26. H. Xie, Fractal effect of irregularity of crack branching on the fracture toughness of brittle materials, Int. J. of Fracture 40(4), 267-274 (1989).
27. H. Xie, Fractals in Rock Mechanics, p. 453. Balkema Publishers, Rotterdam/Brookfield (1993).
28. H. Xie, Damage Mechanics of Rock and Concrete Materials. CUMT Press (1990).
29. H. Xie, Studies on fractal model of microfracture of marble, Chinese Science Bulletin 34(15), 1292-1296 (1989).
30. H. Xie, D. J. Sanderson and D. P. Peacock, A fractal model and energy dissipation for en echelon fractures, Engng Fracture Mech. 48(5), 655-662 (1994).
31. H. Xie and D. J. Sanderson, Fractal kinematics of crack propagation in geomaterials, Engng Fracture Mech. 50(4), 529-536 (1995).
32. H. Xie and D. J. Sanderson, Fractal effect of crack propagation on dynamic stress intensity factors and crack velocities, Int. J. Fracture, 74, 29-42 (1995).
33. R. F. Voss, Random fractal forgeries, in Fundamental Algorithms for Computer Graphics edited by R. A. Earnshaw, pp. 805-835 (1985).
34. J. Feder, Fracals, p. 283. Plenum Press, New York (1988).
35. K. Falconer, Fractal Geometry - Mathematical Foundations and Applications, p. 288, John Wiley & Sons Ltd., Chichester (1990).
36. M. A. Kwaśniewski and J.-A. Wang, Application of laser profilometry and fractal analysis to measurement and characterization of morphological feature of rock fracture surfaces, Gotechnique et Environnement, 4, me Colloque Franco-Polonais, 15-19 Nov., Nancy, edited by J. P. Piguet and F. Homand 1, pp. 163-176. Science de la Terre, Vandoeuvre -les-Nancy (1993).
37. J.-A. Wang, Morphology and mechanical behavior of rock joints, Ph.D. thesis, p. 333, Faculty of Mining and Geology, Silesian Technical University, Gliwice, Poland (1994).
38. P. C. Patton, Multiple modes of shear failure in rock and related material, Ph.D. thesis, p. 282, University of Illinois, Urbana (1966).
39. C. Tricot, P. Ferland and G. Barran, Fractal analysis of worn surfaces, Wear 172, 127-133 (1994).
40. W.-H. Xie, Photoelastic modeling for fractal rock joints. M.Sc. thesis, CUMT, p. 80 (in Chinese) (1995).
41. J. M. Handanyan, E. R. Danek, R. A. D. Andrea and J. D. Sage, The role of tension in failure of jointed rock, in Rock Joints edited by N. Barton and O. Stephansson, pp. 195-202. Balkema, Rotterdam (1990).
42. Yu. A. Fishman, Failure mechanism and shear strength of joint wall asperities, in Rock Joints edited by N. Barton and O. Stephansson, pp. 627-631. Balkema, Rotterdam (1990).
43. A. Bro, Failure of stepped joints: An analysis and comparison with a measured failure geometry. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 29(2), 179-186 (1992).
44. X. Huang, B. C. Haimson, M. E. Plesha and X. Qiu, An investigation of the mechanics of rock joints - Part I: Laboratory investigation, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 30(3), 257-269 (1993).