Crack coalescence in a rock-like material containing two cracks

International Journal of Rock Mechanics and Mining Sciences

Volumn 35, Issue 2, 1998, Pages 147-164

  Wong, Robina H C ^a   Chau, K T ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COALESCENCE; CRACKS; SANDSTONE; SHEAR STRENGTH; TENSILE STRENGTH;

CRACK COALESCENCE;

ROCK MECHANICS;

CRACK COALESCENCE; FRACTURE MECHANICS; SANDSTONE; STRENGTH; UNIAXIAL COMPRESSION;

EID: 0031594033     PISSN: 13651609     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0148-9062(97)00303-3     Document Type: Article

References (66)

1. GEO Landslide studies 1991, Blast-induced Rock Slide at Shau Kei Wan. Geotechnical Engineering Office, Civil Engineering Department Hong Kong, Special Project Report, SPR 6/91, 1991.
2. Griffith, A. A., The phenomena of rupture and flow in solids. Philos. Trans. R. Soc. London Ser. A, 1921, 221, 163-198.
3. Griffith, A. A., The theory of rupture. Proc. 1st Int. Congr. Appl. Mech. Delft, 1924, pp. 55-63.
4. Irwin, G. R., Analysis of stresses and strains near the ends of a crack traversing a plate. J. Appl. Mech., 1957, 24, 361-364.
5. Hoek, E. and Bieniawski, Z. T., Brittle fracture propagation in rock under compression. Int. J. Fract. Mech., 1965, 1, 137-155.
6. Pang, S. and Jonson, A. M., Crack growth and faulting in cylindrical specimens of Chelmsford granite. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1972, 9, 37-86.
7. Hallbauer, D. K., Wagner, H. and Cook, N. G. W., Some observations concerning the microscopic and mechanical behaviour of quartzite specimens in stiff triaxial compression tests. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1973, 10, 713-726.
8. Tapponnier, P. and Brace, W. F., Development of stress-induced microcracks in Westerly granite. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1976, 13, 103-112.
9. Olsson, W. A. and Pang, S. S., Microcrack nucleation in marble. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1976, 13, 53-59.
10. Kranz, R. L., Crack-crack and crack-pore interactions in stressed granite. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1979, 16, 37-47.
11. Batzle, M. L., Simmons, G. and Siegfried, R. W., Microcrack closure in rocks under stress: Direct observation. J. Geophys. Res., 1980, 85, 7072-7090.
12. Wong, T. F., Micromechanics of faulting in Westerly granite. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1982, 19, 49-64.
13. Kranz, R. L., Microcracks in rocks: A review. Tectonophysics, 1983, 100, 449-480.
14. Dey, T. N. and Wang, C. Y., Some mechanisms of microcrack growth and interaction in compressive rock failure. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1981, 18, 199-209.
15. Steif, P. S., Crack extension under compressive loading. Eng. Fract. Mech., 1984, 20(3), 463-473.
16. Horii, H. and Nemat-Nasser, S., Compression-induced microcrack growth in brittle solids: Axial splitting and shear failure. J. Geophys. Res., 1985, 90(B4), 3105-3125.
17. Ashby, M. F. and Hallam, S. D., The failure of brittle solids containing small cracks under compressive stress states. Acta Metall., 1986, 34(3), 497-510.
18. Sammis, C. G. and Ashby, M. F., The failure of brittle porous solids under compressive stress states. Acta Metall., 1986, 34(3), 511-526.
19. Kemeny, J. M., Cook, N. G. W., Crack models for the failure of rock under compression. Proc. 2nd Int. Conf. Constitutive Laws for Eng. Materials, 2, 1987, pp. 879-887.
20. Kemeny, J. M., A model for nonlinear rock deformation under compression due to subcritical crack growth. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1991, 28(3), 459-467.
21. Fredrich, J. T., Evans, B. and Wong, T. F., Effect of grain size on brittle and semibrittle strength: Implications for micromechanical modelling of failure in compression. J. Geophys. Res., 1990, 95(B7), 10907-10920.
22. Lajtai, E. Z., Shear strength of weakness planes in rock. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1969, 6(B7), 499-515.
23. Savilahti, T., Rock bridges in jointed rock masses - state-of-the art. Research report, Tulea 1988, 18, 1988.
24. Savilahti, T., Nordlund, E. and Stephansson, O., Shear box testing and modelling of joint bridges. Rock Joints. Proc. Int. Symp. Rock Joints (Norway), ed. Barton and Stephansson, 1990, pp. 295-300.
25. Li, C. Stephansson, O. and Savilahti, T., Behaviour of rock joints and rock bridges in shear testing. Rock joints. Proc. Int. Symp. Rock Joints (Norway), ed. Barton and Stephansson, 1990, pp. 259-266.
26. Reyes, O., Experimental study and analytical modelling of compressive fracture in brittle materials. Ph.D. thesis, Mass. Inst. of Technol., Cambridge, 1991.
27. Reyes, O., Einstein, H. H., Failure mechanism of fractured rock - a fracture coalescence model. Proc. 7th Int. Conf. on Rock Mech. 1, 1991, pp. 333-340.
28. Shen, B., Stephansson, O., Einstein, H. H. and Ghahreman, B., Coalescence of fracture under shear stresses in experiments. J. Geophys. Res., 1995, 100(B4), 5975-5990.
29. Shen, B. and Stephansson, O., Cyclic loading characteristics of joints and rock bridges in a jointed rock specimen. Rock joints. Proc. Int. Symp. Rock Joints (Norway), ed. Barton and Stephansson, 1990, pp. 725-729.
30. Shen, B. and Stephansson, O., Numerical analysis of mixed mode I and mode II fracture propagation. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1993, 30(B4), 861-867.
31. Shen, B., The mechanism of fracture coalescence in compression-experimental study and numerical simulation. Eng. Fract. Mech., 1995, 51(1), 73-85.
32. Nelson, R. A. and Hirschfeld, R. C., Modelling a jointed rock mass. Report R68-70, Mass. Inst. of Technol., Cambridge, 1968.
33. Obert, L. and Duval, W. I., Rock Mechanics and the Design of Structures in Rock. Wiley, New York, 1967, pp. 146-178.
34. Stimpson, B., Modelling materials for engineering rock mechanics. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1970, 7(1), 77-121.
35. Zhu, W., Liang, Z. and Xu, J., Physical simulation tests on jointed rock and strength prediction. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1993, 30(1), 545-550.
36. Labuz, J. F., Dai, S. T. and Papamichos, E., Plane-strain compression of rock-like materials. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1996, 33(1), 573-584.
37. Momber, A. W. and Kovacevic, R., Test parameter analysis in abrasive water jet cutting of rocklike materials. Int. J. Rock Mech. Min. Sci., 1997, 34(1), 17-25.
38. Barton, N. R., A model study of rock-joint deformation. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1972, 9(1), 579-602.
39. Bandis, S., Lumsden, A. C. and Barton, N. R., Experimental studies of scale effects on the shear behaviour of rock joints. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1981, 18(1), 1-21.
40. ASTM Test method for unconfined compressive strength of intact rock core specimens. ASTM designation D2938-86, 1986.
41. ASTM Standard method of test for splitting tensile strength of cylindrical concrete specimens. ASTM designation C496-71, 1971.
42. Farmer, I. W., Engineering Properties of Rocks. E&F Spon, 1968.
43. Farmer I. W., Engineering Behaviour of Rocks. 2nd Ed., Chapman&Hall, London, 1983.
44. Atkinson, B. K. and Meredith, P. G., Experimental fracture mechanics data for rocks and minerals. Fracture Mechanics of Rock. Academic Press London, 1987.
45. Swan, G., Fracture stress scale effects for rocks in bending. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1980, 17(1), 317-324.
46. Swan, G. and Olofsson, T., A multi-purpose rock core testing device. Geotech. Test. J. GTFODJ, 1983, 6(1), 18-23.
47. Melin, S., When does a crack grow under mode II conditions? Int. J. Fract., 1986, 30(1), 103-114.
48. Holcomb, D. J. and Stevens, J. L., The reversible Griffith crack: a viable model for dilatancy. J. Geophys. Res., 1980, 85(1), 7101-7107.
49. Costin, L., A microcrack model for deformation of brittle rock. J. Geophys. Res., 1983, 88(1), 9485-9492.
50. Holcomb, D. J., A quantitative model of dilatancy in dry rock and its application to Westerly granite. J. Geophys. Res., 1978, 83(B10), 4941-4950.
51. Kachanov, M. L., A microcrack model of rock inelasticity. I. Friction sliding on microcracks. Mech. Mater., 1982, 1(B10), 19-27.
52. Kachanov, M. L., A microcrack model of rock inelasticity. II. Propagation of microcracks. Mech. Mater., 1982, 1(B10), 29-41.
53. Nemat-Nasser, S. and Obata, M., A microcrack model of dilatancy in brittle material. J. Appl. Mech., 1988, 55(B10), 24-35.
54. Wong, R. H. C., Chau, K. T. and Wang, P., Microcracking and grain size effect in Yuen Long marbles. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1996, 33(5), 479-485.
55. Martins, R. D. A., The origin of dimensional analysis. Journal of the Franklin Institute, 1983, 311, 331-337.
56. Buckingham, E., On physically similar systems: Illustration of the use of dimensional equations. Phys. Rev. D, 1914, 4(5), 345-376.
57. Buckingham, E., Model experiments and the forms of empirical equations. Trans. ASME, 1915, 37(5), 263-296.
58. Schmidt, R. and Housen, K., Problem solving with dimension analysis. The Industrial Physicist July 1995, 1995, 21-24.
59. Langhaar, H. L., Dimensional Analysis and Theory of Models. Wiley, New York, 1951.
60. Focken, C. M., Dimensional Methods and their Applications. Edward Arnold, London, 1953.
61. Duncan, W. J., Physical Similarity and Dimensional Analysis. Edward Arnold, London, 1953.
62. Jupp, E. W., An Introduction to Dimensional Method. Cleaver-Hume, London, 1962.
63. Huntley, H. E., Dimensional Analysis. Dover, New York, 1967.
64. Douglas, J. F., An introduction to Dimensional Analysis for Engineers. Pitman and Sons, London, 1969.
65. Taylor, E. S., Dimensional Analysis for Engineers. Clarendon Press, Oxford, 1974.
66. Bridgman, P. W., Dimensional Analysis. Yale University Press, New Haven, 1978.