Modeling of compression-induced splitting failure in heterogeneous brittle porous solids

Engineering Fracture Mechanics

Volumn 72, Issue 4, 2005, Pages 597-615

  Tang, C A ^a,b   Wong, R H C ^c   Chau, K T ^c   Lin, P ^b,c  

^a DALIAN UNIVERSITY   (China)

^b NORTHEASTERN UNIVERSITY   (China)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Coalescence; Numerical simulation; Porous solid; Splitting; Wing crack

Indexed keywords

ARRAYS; COMPACTION; CRACK PROPAGATION; CRACKS; PARAMETER ESTIMATION; POROUS MATERIALS; STRESS ANALYSIS;

AXIAL COMPRESSION; MATERIAL FAILURE PROCESS ANALYSIS; SPLITTING; VERTICAL ARRAY;

BRITTLENESS;

FRACTURE MECHANICS;

EID: 7244248883     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2004.04.008     Document Type: Article

References (28)

1. Fairhurst C. Cook N.G.W. The phenomenon of rock splitting parallel to the direction of maximum compression in the neighbourhood of a surface Proc. First Congr. Int. Soc. Rock Mech. 1 1966 687-692
2. Hallbauer D.K. Wagner H. Cook N.G.W. Some observations concerning the microscopic and mechanical behavior of quartizite specimens in stiff, triaxial compression tests Int. J. Rock Mech. Min. Sci. 10 1973 713-726
3. Janach W. Failure of granite under compression Int. J. Rock Mech. Min. Sci. 14 1977 209-216
4. Holzhausen G.R. Johnson A.M. Analyses of longitudinal splitting of uniaxially compressed rock cylinder Int. J. Rock Mech. Min. Sci. 16 1979 163-178
5. Griffith A.A. The phenomena of rupture and flow in solids Phil. Trans. R. Soc. Lond. A221 1920 163-198
6. Griffith AA. The theory of rupture. In: Proceedings of the First International Congress for Applied Mechanics, Delft, 1924. p. 55-63
7. Nemat-Nasser S. Horii H. Compression-induced nonplanar crack extension with application to splitting, exfoliation, and rockburst J. Geophys. Res. 87 B8 1982 6805-6821
8. Horii H. Nemat-Nasser S. Compression-induced microcrack growth in brittle solids: Axial splitting and shear failure J. Geophys. Res. 90 B4 1985 3105-3125
9. Ashby M.F. Hallam S.D. The failure of brittle solids containing small cracks under compressive stress states Acta Metall. 34 3 1986 497-510
10. Yu S.W. Feng X.Q. A micromechanics-based damage model for microcrack-weakened brittle solids Mech. Mater. 20 1 1995 59-76
11. Nikitin L.V. Odintsev V.N. A dilatancy model of tensile macrocracks in compressed rock Fatigue Fract. Engng. M. 22 11 1999 1003-1009
12. Blechman I. Brittle solid under compression. 1. Gradient mechanisms of microcracking Int. J. Solids Struct. 34 20 1997 2563-2581
13. Bhattacharya K. Ortiz M. Ravichandran G. Energy-based model of compressive splitting in heterogeneous brittle solids J. Mech. Phys. Solids 46 10 1998 2171-2181
14. Shen B. Stephansson O. Einstein H.H. Ghahreman B. Coalescence of fractures under shear stress experiments J. Geophys. Res. 100 6 1995 5975-5990
15. Wong R.H.C. Chau K.T. The coalescence of frictional cracks and the shear zone formation in brittle solids under compressive stresses Int. J. Rock Mech. Min. Sci. 34 3/4 1997 366
16. Germanovich L.N. Carter B.J. Dyskin A.V. Ingraffea A.R. Lee K.K. Mechanics of 3-D crack growth under compressive loads In: Aubertin M. Hassani F. Mitri H. editors. Rock mechanics tools and techniques, Proceedings of the Second North American Rock Mech Symposium: NARMS'96 1996 1151-1160 Balkema Rotterdam
17. Alzebdeh A. Al-Ostaz A. Jasiuk I. Ostoja-Starzewski M. Fracture of random matrix-inclusion composites: Scale effects and statistics Int. J. Solids Struct. 35 19 1998 2537-2566
18. Van Mier J.G.M. Fracture process of concrete 1997 CRC Press New York
19. Cox S.J.D. Paterson L. Tensile fracture of heterogeneous solids with distributed breaking strengths Phys. Rev. B 40 7 1989 4690-4695
20. Cox S.J.D. Paterson L. Effect of finite-element mesh topology on simulating mechanical breakdown in solids Commun. Numer. Meth. Engng. 10 1994 413-420
21. Sellers E. Napier J. A comparative investigation of micro-flaw models for the simulation of brittle fracture in rock Comput. Mech. 20 1-2 1997 164-169
22. Sammis C.G. Ashby M.F. The failure of brittle porous solids under compressive stress states Acta Metall. 34 1986 511-526
23. Tang C.A. et al. On failure modes and strength characterization of brittle disordered materials under uniaxial compression and tension Key Engng. Mater. 183/187 2000 637-642
24. Tang C.A. Numerical simulation of progressive rock failure and associated seismicity Int. J. Rock Mech. Min. Sci. 34 2 1997 249-262
25. Amitrano D. Grasso J.R. Hantz D. From diffuse to localized damage through elastic interaction Geophys. Res. Lett. 26 14 1999 2109-2112
26. Zapperi S.A. et al. Plasticity and avalanche behavior in microfracturing phenomena Nature 388 1997 658-660
27. Brady B.H.G. Brown E.T. Rock mechanics for underground mining 2nd ed. 1993 Chapman - Hall London, UK, p. 106-108
28. Wong R.H.C. Tang C.A. Chau K.T. Lin P. Splitting failure in brittle rocks containing pre-existing flaws under uniaxial compression Engng. Fract. Mech. 69 2002 1853-1871