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Simulation of Fracturing Process for Heterogeneous Material Using FLAC3D
Corresponding Author(s) : G.S. Su
Asian Journal of Chemistry,
Vol. 26 No. 17 (2014): Vol 26 Issue 17
Abstract
A novel numerical model for simulating the fracturing process of heterogeneous materials has been developed and implemented into the FLAC3D. A constitutive model that captures an essential component of brittle material failure i.e., cohesion weakening and frictional strengthening is improved by taking into account that the elastic modulus of an element may degrade when the element fails. Furthermore, a new energy index, the local energy release rate (LERR), is proposed that simulates the energy released during a failure process through tracking the peak and trough values of the elastic strain energy intensity. The numerical model has been applied to simulate the fracturing processes of a heterogeneous material, such as rocks, under a traixial loading condition are simulated by the proposed numerical model. The results demonstrate that the proposed model is a powerful approach for studying the macroscopic fracturing process of a heterogeneous material.
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- G.W. Ma, X.J. Wang and F. Ren, Int. J. Rock Mech. Min. Sci., 48, 353 (2011); doi:10.1016/j.ijrmms.2011.02.001.
- H.Y. Liu, M. Roquete, S.Q. Kou and P.-A. Lindqvist, Eng. Geol., 72, 89 (2004); doi:10.1016/j.enggeo.2003.06.004.
- G. George Batrouni and A. Hansen, J. Stat. Phys., 52, 747 (1988); doi:10.1007/BF01019728.
- X.C. Tan, P.A. Lindqvist and S.Q. Kou, Int. J. Numer. Anal. Methods Geomech., 21, 1 (1997); doi:10.1002/(SICI)1096-9853(199701)21:1<1::AID-NAG851>3.0.CO;2-5.
- Z. Fang and J.P. Harrison, Int. J. Rock Mech. Min. Sci., 39, 443 (2002); doi:10.1016/S1365-1609(02)00035-7.
- H.Y. Liu, S.Q. Kou, P.A. Lindqvist and C.A. Tang, Int. J. Rock Mech. Min. Sci., 39, 491 (2002); doi:10.1016/S1365-1609(02)00043-6.
- E.J. Garboczi and A.R. Day, J. Mech. Phys. Solids, 43, 1349 (1995); doi:10.1016/0022-5096(95)00050-S.
- E. Schlangen and E.J. Garboczi, Eng. Fract. Mech., 57, 319 (1997); doi:10.1016/S0013-7944(97)00010-6.
- Z.P. Bazant, M.R. Tabbara, M.T. Kazemi and G. Pijaudier-Cabot, J. Eng. Mech., 116, 1686 (1990); doi:10.1061/(ASCE)0733-9399(1990)116:8(1686).
- V. Hajiabdolmajid, P.K. Kaiser and C.D. Martin, Int. J. Rock Mech. Min., 39, 731 (2002); doi:10.1016/S1365-1609(02)00051-5.
- N.G.W. Cook, M. Hood and F. Tsai, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 21, 97 (1984); doi:10.1016/0148-9062(84)91177-X.
- W. Weibull, J. Appl. Mech., 18, 293 (1951).
- Itasca Consulting Group, Inc., FLAC3D (Version 3.0) User’s Manual, Itasca Consulting Group, USA (2005).
References
G.W. Ma, X.J. Wang and F. Ren, Int. J. Rock Mech. Min. Sci., 48, 353 (2011); doi:10.1016/j.ijrmms.2011.02.001.
H.Y. Liu, M. Roquete, S.Q. Kou and P.-A. Lindqvist, Eng. Geol., 72, 89 (2004); doi:10.1016/j.enggeo.2003.06.004.
G. George Batrouni and A. Hansen, J. Stat. Phys., 52, 747 (1988); doi:10.1007/BF01019728.
X.C. Tan, P.A. Lindqvist and S.Q. Kou, Int. J. Numer. Anal. Methods Geomech., 21, 1 (1997); doi:10.1002/(SICI)1096-9853(199701)21:1<1::AID-NAG851>3.0.CO;2-5.
Z. Fang and J.P. Harrison, Int. J. Rock Mech. Min. Sci., 39, 443 (2002); doi:10.1016/S1365-1609(02)00035-7.
H.Y. Liu, S.Q. Kou, P.A. Lindqvist and C.A. Tang, Int. J. Rock Mech. Min. Sci., 39, 491 (2002); doi:10.1016/S1365-1609(02)00043-6.
E.J. Garboczi and A.R. Day, J. Mech. Phys. Solids, 43, 1349 (1995); doi:10.1016/0022-5096(95)00050-S.
E. Schlangen and E.J. Garboczi, Eng. Fract. Mech., 57, 319 (1997); doi:10.1016/S0013-7944(97)00010-6.
Z.P. Bazant, M.R. Tabbara, M.T. Kazemi and G. Pijaudier-Cabot, J. Eng. Mech., 116, 1686 (1990); doi:10.1061/(ASCE)0733-9399(1990)116:8(1686).
V. Hajiabdolmajid, P.K. Kaiser and C.D. Martin, Int. J. Rock Mech. Min., 39, 731 (2002); doi:10.1016/S1365-1609(02)00051-5.
N.G.W. Cook, M. Hood and F. Tsai, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 21, 97 (1984); doi:10.1016/0148-9062(84)91177-X.
W. Weibull, J. Appl. Mech., 18, 293 (1951).
Itasca Consulting Group, Inc., FLAC3D (Version 3.0) User’s Manual, Itasca Consulting Group, USA (2005).