A continuum damage constitutive law for brittle rocks

Computers and Geotechnics

Volumn 22, Issue 2, 1998, Pages 135-151

  Homand Etienne, F ^a   Hoxha, D ^a   Shao, J F ^b  

^a CRPG CNRS   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; COMPUTER SIMULATION; CONTINUUM MECHANICS; CRACK PROPAGATION; GRANITE; MATHEMATICAL MODELS; TENSORS;

CONTINUUM DAMAGE CONSTITUTIVE LAW; CRACK DENSITY TENSOR;

ROCK MECHANICS;

CONTINUUM DAMAGE MECHANICS; FRACTURE PROPAGATION; GRANITE;

EID: 0031668573     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-352X(98)00003-2     Document Type: Article

References (29)

1. 1. Wawersik, W. R. and Brace, W. F., Post-failure behavior of a granite and diabase. Rock Mechanics, 1971, 3, 61-85.
2. 2. Wong, T. F., Micromechanics of faulting in Westerly granite. International Journal of Rock Mechanics and Mining Sciences, 1982, 19, 49-62.
3. 3. Steif, P. S., Crack extension under compressive loading. Engineering Fracture Mechanics, 1984, 20(3), 463-473.
4. 4. Sammis, C. G. and Ashby, M. F., The failure of brittle porous solids under compressive stress states. Acta metall., 1986, 34(3), 511-526.
5. 5. Fredrich, J. T. and Wong, T. F., Micromechanics of thermally induced cracking in three crustal rocks. Journal of Geophysical Research, 1986, 91, 12743-12764.
6. 6. Fredrich, J. T., Evans, B. and Wong, T. F., Micromechanics of the brittle to plastic transition in Carrara marble. Journal of Geophysical Research, 1989, 94, 4129-4145.
7. 7. Martin, C. D. and Chandler, N. A., The progressive failure of Lac du Bonnet granite. International Journal of Rock Mechanics and Mining Sciences, 1994, 31, 643-659.
8. 8. Atkinson, B. K., Subcritical crack growth in geological materials. Journal of Geophysical Research, 1984, 89(B6), 4077-4114.
9. 9. Atkinson, B. K. and Meredith, P. G., The theory of subcritical crack growth with applications to minerals and rocks. In Fracture Mechanics of Rock. ed. B. K. Atkinson. Academic Press, London, 1987, pp. 113-166.
10. 10. Kemeny, J. M. and Cook, N. G. W., Micromechanics of deformation in rocks. In Toughening Mechanics in Quasi-Brittle Materials, ed. S. P. Shah. Kluwer Academic, 1991, pp. 155-188.
11. 11. Ju, J. W., On the energy based coupled elastoplastic damage theories: constitutive modelling and computational aspects. International Journal of Solids and Structures, 1989, 25(7), 803-833.
12. 12. Ju, J. W. and Lee, X., Micromechanical damage model for brittle solids, I: tensile loadings. Journal of Engineering Mechanics, 1991, 117(7), 1495-1514.
13. 13. Lee, X. and Ju, J. W., Micromechanical damage model for brittle solids, I: tensile loadings. Journal of Engineering Mechanics, 1991, 117(7), 1515-1536.
14. 14. Krajcinovic, D. and Fonseka, G. U., The continuous damage theory of brittle materials. Journal of Applied Mechanics, 1981, 48, 809-815.
15. 15. Costin, L. S., Damage mechanics in the post failure regime. Mechanics of Materials, 1985, 4, 149-160.
16. 16. Singh, U. K. and Digby, P. J., A continuum damage model for simulation of the progressive failure of brittle rocks. International Journal of Solids and Structures, 1989, 25(6), 647-663.
17. 17. Dragon, A., Cormery, F., Désoyer, T. and Halm, D., Localized failure analysis using damage models. In Localisation and Bifurcation Theory for Soils and Rocks, ed. R. Chambon, J. Desrues and I. Vardoulakis. Balkema, 1994, pp. 127-140.
18. 18. Kachanov, M., Elastic solids with many cracks and related problems. Advances in Apllied Mechanics, 1994, 30, 259-445.
19. 19. Hill, R., Elastic properties of reinforced solids: some theoretical principles. Journal of the Mechanics and Physics of Solids, 1963, 11, 357-372.
20. 20. Hoxha, D. Endommagement des granites et stabilité des ouvrages souterrains: Thèse Doct. INPL, to be published.
21. 21. Sayers, C. M. and Kachanov, M., A simple technique for finding effective elastic constants of cracked solids for arbitrary orientation statistics. International Journal of Solids and Structures, 1991, 27(6), 671-680.
22. 22. UDEC, User's Manual, Version 2. 0, 1993.
23. 23. Cundall, P. A., A computer model for simulating progressive large scale movements in blocky rock system. Proceedings of the Symposium of the International Society for Rock Mechanics, Nancy, France, 1971, 1(II-8), 128-132.
24. 24. Lemos, J. V, Hart, R. D. and Cundall, A., A generalized distinct element program for modeling jointed rock mass. In Proceedings of the International Symposium on Fundamentals of Rock Joints, Bjorkliden, 1985, pp. 231-244.
25. 25. Cundall, P. A and Hart, R. D., Numerical modeling of disconuita. Comprehensive Rock Engineering, 1992, 2, 231-244.
26. 26. Souley, M., Hoxha, D. and Homand, F., Distinct element modelling of an underground excavation using a continuum damage model. Submitted to North American Rock Mechanics Symposium, 3-5 June, 1998, Cancun, México.
27. 27. Read, R. S. and Martin, C. D. Technical summary of AECL's mine-by experiment phase 1: Excavation response, AECL-11311, COG-95-171, 1996.
28. 28. Martin, C. D., Read, R. S. and Martino, J. B., Observation of brittle failure around a circular test tunnel. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(7), 1065-1073.
29. 29. Shao, J. F. and Khazraei, R., A continuum damage mechanics approach for time independent and dependent behaviour of brittle rock. Mechanics Research Communications, 1996, 23(3), 257-265.