Journal of Applied Science and Engineering

Published by Tamkang University Press

1.30

Impact Factor

1.60

CiteScore

L. G. Tham This email address is being protected from spambots. You need JavaScript enabled to view it.1 , Y. K. Cheung1 and C. A. Tang This email address is being protected from spambots. You need JavaScript enabled to view it.2

1Department of Civil Engineering The University of Hong Kong, Hong Kong
2Centre of Rockbursts and Induced Seismicity Research Northeastern University Shenyang, China


 

Received: July 30, 2001
Accepted: August 21, 2001
Publication Date: December 1, 2001

Download Citation: ||https://doi.org/10.6180/jase.2001.4.4.03  


ABSTRACT


The initiation, development and coalescence of fractures have been studied by various researchers. The current consensus is that such complex process is however not yet fully understood. In the present study, a numerical model, based on finite element approach, has been developed to simulate the fracture process when the specimen is under compression. The heterogeneous nature of the rocks is also taken into account by assuming spatial variations in the properties of the rocks be defined by the Weibull function. The numerical simulation shows that failure is mainly a process of tensile fractures developed in highly stressed shear bands. The study has provided insight on the development of fractures, especially in the post-peak range.


Keywords: Fracture, Acoustic Emission, Finite Element, Weibull


REFERENCES


  1. [1] Battey, M. H. and Pring, A., Mineralogy for students (3rd edition), Longman, Hong Kong (1997).
  2. [2] Bieniawski, Z. T., "Mechanism of brittle fracture of rock - Part II: Experimental studies," Int. J. Rock Mech. Min. Sci. and Geomech. Abstr., Vol. 4, pp. 407-423 (1967).
  3. [3] Brace, W. F., Silver, E., Hadley, K. and Goetze, C., "Fractures and pores: A closer look," Science, Vol. 178, pp. 162-163 (1972).
  4. [4] Brace, W. F., Silver, E., Goetze, C. and Hadley, K., "Cracks and pores : A closer look", Science, Vol 178, pp 162-163 (1972).
  5. [5] Chen, R., Yao, X. X. and Xie, H. S., "Studies of the fracture of gabbro," Int. J. Rock Mech. Min. Sci., Vol. 16, pp. 187-193 (1979).
  6. [6] Dear, W. A., Howie, R. A. and Zussman, J., The rock forming minerals (2nd edition), Longman, Hong Kong(1992).
  7. [7] Ferrero, A. M., Giani, G. P., Kapenis, A. and Harrison, J. P., "Theoretical and experimental study on geometric instability of pillars in discontinuous rock," Proc. of the 8th Int Congress on Rock Mech., Tokyo, Japan, pp. 555-558 (1995).
  8. [8] Hallbauer, D. K., Wagner, H. and Cook, N. G. W., "Some observations concerning the microscopic and mechanical behavior of quartzite specimens in stiff, triaxial compression tests," Int. J. Rock Mech. Min. Sci., Vol. 10, pp. 713-726 (1973).
  9. [9] Henry, J. P., Paquet, J. and Tancrez, J. P., "Experimental study of fracture propagation in calcite rocks," Int. J. Rock Mech. Min. Sci., Vol. 14, pp. 85-91 (1977).
  10. [10] Hermann, H. J. and Roux, S., Statistical models for the fracture of disordered media, Elsevier Science(1990).
  11. [11] Huang, J. F., Wang, Z. Y. and Zhao, Y. H., "The development of rock fracure from microfracturing to main fracture formation," Int. J. Rock Mech. Min. Sci., Vol. 30, pp. 925-928 (1993).
  12. [12] Kaiser, P. K. and Tang, C. A., "Numerical simulation of damage cumulation and seismic energy release during brittle rock failure - Part II: Rib pillar collapse," Int. J. Rock Mech. Min. Sci., Vol. 35, pp. 123-134 (1998).
  13. [13] Lama, R. D. and Vutukuri, V. S., Handbook on mechanical properties of rocks, Tran Tech (1978).
  14. [14] Li, Y. J. and Zimmermann, T., "Numerical simulation of fracture propagation in an anisotropic layered medium," Proc. of the 9th Int. Conf. on Comp. Methods and Adv. in Geom., Wuhan, China, pp. 319-324 (1997).
  15. [15] Lian, L., “Microscopic study and numerical simulation of the failure process of granite,” PhD Thesis, The University of Hong Kong (2001).
  16. [16] Nolen-Hoeksema, R. C. and Gordon, R. B., "Optical detection of fracture patterns in the opening-mode fracture of marble," Int. J. Rock Mech. Min. Sci., Vol. 24, pp. 135-144 (1987).
  17. [17] Nooru-Mohamed, M. B., Schlangen, E. and Van Mier, J. G. M., "An experimental and numerical study on the behavior of concrete subjected to biaxial tension and shear," Advanced Cement Based Materials, Vol. 1, pp. 22-37 (1993).
  18. [18] Plischke, B., Dallamm, R. and Chedmail, J. F., "Numerical simulation of geological process," Proc. of the 9th Int. Congress on Rock Mech., Paris, France, pp. 1909-1912 (1991).
  19. [19] Schlangen, E., “Experimental and numerical analysis of fracture process in concrete,” Ph. D. thesis, Delft University of Technology (1993).
  20. [20] Schlangen, E. and Van Mier, J. G. M., "Experimental and numerical analysis of micro-mechanisms of fracture of cement-based composites," Cement and Concrete Composites, Vol. 14, pp. 105-118 (1992).
  21. [21] Swan, G., "The observation of fractures propagating in rock plates," Int. J. Rock Mech. Min. Sci., Vol. 12, pp. 329-334 (1975).
  22. [22] Tang, C. A., "Numerical simulation of progressive rock failure and associated seismicity," Int. J. Rock Mech. Min. Sci., Vol. 34, pp. 249-261 (1997).
  23. [23] Tang, C. A. and Kaiser, P. K., "Numerical simulation of cumulative damage and seismic energy release during brittle rock failure - Part I: Fundamentals," Int. J. Rock Mech. Min. Sci., Vol. 35, pp. 113-121 (1998).
  24. [24] Tang, C. A. and Kou, S. Q., "Fracture propagation and coalescence in brittle materials under compression," Engineering Fracture Mechanics, Vol. 61, pp. 311-324 (1998).
  25. [25] Van Mier, J. G. M., Fracture Process of concrete, CRC Press, New York, U. S. A. (1997).
  26. [26] Van Mier, J. G. M. and Schlangen, E., "An experimental and numerical study of mode I (Tensile) and mode II (Shear) fracture in concrete," J Mech. Behavior of Mats., Vol. 4, pp. 179-190 (1993).
  27. [27] Wawersik, W. R. and Brace, W. F., "Post-failure behavior of a granite and diabase," Rock Mech., Vol. 3, pp. 61-85 (1971).
  28. [28] Zhao, Y. H., "Fracture pattern evolution and a fractal damage constitutive model for rock," Int. J. Rock Mech. Min. Sci., Vol. 35, pp. 349-366 (1998).
  29. [29] Zhao, Y., Huang, J. and Wang, R., "Real-time SEM observations of the microfracturing process in rock during a compression test," Int. J. Rock Mech. Min. Sci., Vol. 30, pp. 643-652 (1993).
  30. [30] Zhao, Y. H., Huang, J. F. and Wang, R., "Fractal characteristics of mesofractures in compressed rock specimens," Int. J. Rock Mech. Min. Sci., Vol. 30, pp. 877-882 (1993).