Numerical modeling of fracture coalescence in a model rock material

International Journal of Fracture

Volumn 92, Issue 3, 1998, Pages 221-252

  Bobet, Antonio ^a,b   Einstein, Herbert H ^b  

^a PURDUE UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Biaxial compression; Brittle material; Crack coalescence modeling; Crack initiation criterion; Displacement discontinuity method; Uniaxial compression

Indexed keywords

BOUNDARY ELEMENT METHOD; BRITTLENESS; COALESCENCE; COMPRESSIVE STRENGTH; CRACK INITIATION; CRACK PROPAGATION; FRICTION; MATHEMATICAL MODELS; ROCK MECHANICS; SHEAR STRENGTH; TENSILE STRENGTH;

FRACTURE COALESCENCE; SOFTWARE PACKAGE FROCK;

FRACTURE MECHANICS;

EID: 0032628408     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007460316400     Document Type: Article

References (28)

1. ABAQUS. Finite element program, from Hibbit, Karlson & Sorensen, Inc. 1080 Main Street, Pawtucket, RI, USA.
2. Bathe, K. (1982). Finite Element Procedures in Engineering Analysis. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, USA.
3. Bobet, A. and Einstein, H.H. (1996). Fracture coalescence in rock material under uniaxial and biaxial loading. Proceedings of the 2nd North American Rock Mechanics Symposium: NARMS'96, Montreal, 1603-1609.
4. Bobet, A. (1997). Fracture Coalescence in Rock Materials: Experimental Observations and Numerical Predictions. Sc.D. Thesis, Massachusetts Institute of Technology, Cambridge, Massachusetts.
5. Bobet, A. and Einstein, H.H. (1998). Fracture coalescence in rock-type materials under uniaxial and biaxial compression. International Journal of Rock Mechanics, Min. Sci. and Geomechanics Abstract 35(7), 863-889.
6. Bocca, P., Carpinteri, A. and Valente, S. (1990). Size effects in the mixed mode crack propagation: softening and snap-back analysis. Engineering Fracture Mechanics 35, 159-170.
7. Chan, H.C.M., Li, V. and Einstein, H.H. (1990). A hybridized displacement discontinuity and indirect boundary element method to model fracture propagation. International Journal of Fracture 45, 263-282.
8. Crouch, S.L. (1976). Solution of plain elastic problems by the displacement discontinuity method. International Journal of Numerical Methods in Engineering 10, 301-343.
9. Einstein, H.H., Nelson, R.A., Barton, R.W. and Hirschfeld, R.C. (1969). Model Studies of Jointed Rock Behavior. Proc. 11th U.S. Symposium on Rock Mechanics, 83-103.
10. Erdogan, F. and Sih, G.C. (1963). On the crack extension in plates under loading and transverse shear. Journal of Basic Engineering 85, 519-527.
11. Griffith, A.A. (1921). The phenomenon of rupture and flow in solids. Philosophical Transactions of the Royal Society of London Series A 221, 163-198.
12. Ingraffea, A.R., Heuze, F.E., Ko, H. and Gerstle, K. (1977). An analysis of discrete fracture propagation in rock loaded in compression. Proceedings of the 18th. U.S. Symposium on Rock Mechanics, Keystone, Colorado, 2A4-1-2A4-7.
13. Ingraffea, R.A. and Manu, C. (1984). Stress intensity factor computation in three dimensions with quarter point elements. International Journal of Numerical Methods in Engineering 15, 1427-1445.
14. Maji, A.K. and Wang, J.L. (1992). Experimental study of fracture processes in rock. Rock Mechanics and Rock Engineering 25, 25-47.
15. Maugis, D. (1992). Stresses and displacements around cracks and elliptical cavities: exact solutions. Engineering Fracture Mechanics 43(2), 217-255.
16. Olson, J.E. and Pollard, D.D. (1988). Inferring stress states from detailed joint geometry. Proceedings: 29th US Symposium on Rock Mechanics, A.A. Balkema, Rotterdam, 159-167.
17. Olson, J.E. and Pollard, D.D. (1989). Inferring paleostresses from natural fracture patterns: A new method. Geology 17, 345-348.
18. Olson, J.E. and Pollard, D.D. (1991). The initiation of en échelon veins. Journal of Structural Geology 13(5), 595-608.
19. Pollard, D.D., Zeller, S., Olson, J. and Thomas, A. (1990). Understanding the process of jointing in brittle rock masses. Proceedings: 31st US Symposium on Rock Mechanics, A.A. Balkema, Rotterdam, 447-454.
20. Reyes, O. and Einstein, H.H. (1991). Failure mechanism of fractured rock - A fracture coalescence model. Proceedings 7th International Congress of Rock Mechanics 1, 333-340.
21. Scavia, C. (1995). A method for the study of crack propagation in rock structures. Géotechnique 45(3), 447-463.
22. Shen, B. and Stephansson, O. (1994). Modification of the G-criterion for crack propagation subjected to compression. Engineering Fracture Mechanics 47(2), 177-189.
23. Sih, G.C. (1974). Strain-energy density factor applied to mixed mode crack problems. International Journal of Fracture 10(3), 305-321.
24. Takeuchi, K. (1991). Mixed-Mode Fracture Initiation in Granular Brittle Materials. M.S. Thesis, Massachusetts Institute of Technology, Cambridge.
25. Tasdemir, M.A., Maji, A.K. and Shah, S.P. (1990). Crack propagation in concrete under compression. Journal of Engineering Mechanics 116(5), 1058-1076.
26. Whittaker, B.N., Singh, R.N. and Sun, G. (1992). Rock Fracture Mechanics: Principles, Design and Applications. Elsevier Science Publishers, Amsterdam.
27. Xu, C. and Fowell, R.J. (1994). Stress intensity factors evaluation for cracked chevron notched Brazilian disk specimens. International Journal of Rock Mechanics, Min. Sci. and Geomechanics Abstract 31(2), 157-162.
28. Zeller, S.S. and Pollard, D.D. (1992). Boundary conditions for rock fracture analysis using the boundary element method. Journal of Geophysical Research 97(B2), 1991-1997.