It is well known that rock is a natural material containing inherent micro-defects and its mechanical properties strongly relate to the presence of micro-pores and micro-cracks in the material. The damage in rock is believed to be mainly due to initiation and development of micro-defects with irregularity and fractal characteristics. In this paper the damage evolution process in rock is examined and the relationship between the damage variable and the fractal dimension is established based on the fractal geometry method.
Get full access to this article
View all access options for this article.
References
1.
1. Mandelbrot, B. B., 1982. The Fractal Geometry of Nature. W. H. Freeman, New York.
2.
2. Xie, H. P., 1993. Fractal in Rock Mechanics. A. A. Balkema, publisher, The Netherlands.
3.
3. Lu, C. S. and Y. L. Bai, 1990. "Fractal Behavior of Material Damage and Fracture,"Mech. Progress, 20(4): 466-477.
4.
4. Xie, H. P. and W. G. Pariseau. 1993. "Fractal Character and Mechanism of Rock Bursts,"Int. Rock Mech. Min. Sci. & Geomech. Abstr., 30(4): 342-350.
5.
5. Gao, F., H. P. Xie and P. Zhao, 1993. "Fractal Character of Weibull Modulus and Rock Strength,"Sci. Journal, 38(15): 1423-1426.
6.
6. Hult, J., 1979. "Continuum Damage Mechanics, Capabilities, Limitations and Promises," in Mechanism of Deformation and Fracture. Pergamon, Oxford.
7.
7. Friedel, J., 1984. Position Wrong. Scientific Publishing.
8.
8. Passman, S. L., D. E. Grady and J. B. Rundle, 1980. "The Role of Inertia in the Fracture of Rock,"J. Applied Phys., 51(8).
9.
9. Xie, H. P. and P. G. Qian, 1995. "Fractal Character of Pore Development in Marble,"Mecha. Practice, 17(1): 50-60.
10.
10. Smith, E., 1986. "The Effect of Crack Front Irregularity on the Fracture Toughness of Brittle Materials,"Arch. Mech., 28(1-2): 185-190.
11.
11. Xie, H. P., 1990. Damage Mechanics of Rock and Concrete. China Mining University Publishing, Beijing.
12.
12. Dubois, D. and H. Prade. 1980. Fuzzy Sets and Systems. New York.
