Simulation of crack growth and interaction in compression

8th ISRM Congress

Volumn , Issue , 1995, Pages 219-226

  Germanovich, L N ^a   Ring, L M ^a   Carter, B J ^b   Ingraffea, A R ^b   Dyskin, A V ^c   Ustinov, K B ^c  

^a UNIVERSITY OF OKLAHOMA   (United States)

^b Department of Obstetrics Gynecology   (United States)

^c UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ROCK MECHANICS;

ASYMPTOTIC MODEL; CRACK DENSITY; CRACK INTERACTION; CRACK LOCATION; CRACK SPACING; MULTI-CRACK; NUMERICAL TECHNIQUES; SINGLE CRACK;

CRACKS;

EID: 85054972626     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (36)

1. Adams, M. & G. Sines 1978. Crack extension from flaws in a brittle material subjected to compression. Tectonophysics 49: 97-118.
2. Allegre, C. J., J. L. Le Mouel & A. Provost 1982. Scaling rules in rock fracture and possible implication for earthquake prediction. Nature 297: 47-49.
3. Ashby, M.F. & S.D. Hallam 1986. The failure of brittle solids containing small cracks under compressive stress states. Acta Metallurgica 34: 497-510.
4. Atkinson, B., 1981. Cracks in rocks under stress. Nature 290: 632.
5. Bazant, Z.P. & Cedolin, L. 1979. Bland crack band propagation in finite element analysis. J. of the Ener. Mech. Div., ASCE 105:297-315.
6. Bittencourt, T.N., 1993. Computer simulation of linear and nonlinear crack propagation in cementitious materials. Report 93-3, Cornell University, Ithaca, New-York.
7. Brace, W.F., Paulding, B.M., & Scholz, C. 1966. Dilatancy in the fracture of crystalline rocks. Journal of Geophysical Research 71:3939-3953.
8. Brace, W. F., Silver, E., Hadley, K. & Goetze, C. 1972. Cracks and pores: a closer look. Science 178: 162-164.
9. Brace, W.F. & Bombolakis, E.G. 1963. A note on brittle crack growth in compression. Journal of Geophysical Research 68: 3709-3713.
10. Brady, B. T. 1976. Laboratory investigation of tilt and seismicity anomalies in rock before failure. Nature 260: 108-111.
11. Cannon, N.P., Schulson, E.M., Smith, T.R., & Frost, H.J. 1990. Wing cracks and brittle compressive fracture. Acta Metall. Mater. 38: 1955-1962.
12. Cotterell, B. & Rice, J.R. 1980. Slightly curved or kinked cracks. Int. J. Fracture 16: 155-169.
13. Dyskin, A.V., Germanovich, L.N., Jewell, R.J., Joer, H., Krasinski, J.S., Lee, K.K., Roegiers, J.-C, Sahouryeh, E. & Ustinov, K.B. 1994a. Study of 3-d mechanisms of crack growth and interaction in uniaxial compression. ISRM News Journal 2: 17-20, 2:22-24.
14. Dyskin, A.V., Jewell, R.J., Joer, H., Sahouryeh, E. & Ustinov, K.B. 1994b. Experiments on 3-d crack growth in uniaxial compression. Intern. J. Fracture 65:R77-R83.
15. Dyskin, A.V. & Salganik, R.L. 1987. Model of dilatancy of brittle materials with cracks under compression. Mechanics of Solids 22: 165-173.
16. Dyskin, A.V., Salganik, R.L. & Ustinov, K.B. 1992. Multi-scale geomechanical modeling. Western Australian Conference on Mining Geomechanics 235-246. Kalgoorlie: W. Australia.
17. Dyskin, A.V., L. N. Germanovich, A. R. Ingraffea, K. K. Lee & L. M. Ring, 1994c. Modeling crack propagation in compression. Proc. of the First North American Rock Mechanics Symposium, 451-460. AustIn: P.P. Nelson & S.E. Laubach (Eds.).
18. Erdogan, F. & Sih, G.C. 1963. On the crack extension in plates under loading transverse shear, J. Basic Eng., 85: 519-527.
19. Eshelby, J.D. 1961. Elastic inclusions and non-homogeneities. Progress in Solid Mechanics 2: 89-140.
20. Fairhurst, C. & Cook N.G.W. 1966. The phenomenon of rock: splitting parallel to the direction of maximum compression in the neighborhood of a surface. Proc. First Congress International Society for Rocks Mechanics. Lisbon.
21. FLAC, Fast Lagrangian Analysis of Continua, Version 3.0, User's Manual, 1991, Itasca Consulting Group, Inc.
22. Germanovich, L.N., Lee, K.K, & Roegiers, J.-C, 1994a. Study of three-dimensional crack initiation and propagation in transparent brittle material subject to compression. Part III. Experimental results on uniaxial compression of frozen PMMA samples. Rock Mechanics Research Center at The University of Oklahoma: Report RMRC-94-15.
23. Germanovich, L.N., Salganik, R.L., Dyskin, A.V. & Lee, K.K. 1994b. Mechanisms of brittle fracture of rock with multiple pre-existing cracks in compression. Pure and Applied Geophysics (PAGEOPH) 143: 117-149.
24. Gol'dstein, R.V. & A.V. Kaptsov. 1982. Formation of fracture structures of weakly interacting cracks, Mechanics of Solids 17: 157-166.
25. Hoek, E. & Bieniawski, Z.T., 1965. Brittle fracture propagation in rock under compression. International Journal of Fracture 1: 137-155.
26. Horii, H. & Nemat-Nasser, S., 1986. Brittle failure in compression: splitting, faulting, and brittle-ductile transition. Phil. Trans. R. Soc. Land. A 319: 337-374.
27. Hussain, M.A., Pu, S.L. & Underwood, J. 1974. Strain energy release rate for a crack under combined mode I and mode II, Fracture Analysis, ASTM STP 560: 2-28.
28. Ingraffea, A.R., & Heuze, F. 1980. Finite element models for rock fracture mechanics. Int. J. for Numer. & Analit. Methods in Geomechanics 4: 25-43.
29. Lockner, DA. 1995. Rock failure. In: Rock Physics and Phase Relations, American Geophysical Union.
30. Melin, S. 1994. Accurate data for stress intensity factors at infinitesimal kinks. J. Appl. Mech. 61: 467-470.
31. Salganik, R.L. 1973. Mechanics of bodies with many cracks. Mechanics of Solids 8: 135-143.
32. Scholz, C.H., 1990. The mechanics of earthquakes and faulting. Cambridge University Press, Cambridge, New York, Sydney.
33. Schulson, E.M., Kuehn, G.A., Jones, D.A., & Fifolt, D.A, 1991. The growth of wing cracks and the brittle compressive failure of ice. Acta Metall. Mater. 39: 2651-2655.
34. Tada, H., Paris, P.C., & Irwin, G.R. 1985. The Stress Analysis of Cracks Handbook. St. Louis, Missouri: Paris Production, Inc. (and Del Research Corporation).
35. Ustinov, K.B. & A.V. Dyskin, 1995 On tensile fractures generated by 3-D wing cracks in uniaxial compression. To be published in Engineering Fracture Mechanics.
36. Wawrzynek, P.A., & Ingraffea, AR. 1991. Discrete modeling of crack propagation: theoretical aspects & implementation issues in two & three dimensions. School of Civil & Environmental Engineering, Cornell University: Report 91-5.