Application of the expanded distinct element method for the study of crack growth in rock-like materials under uniaxial compression
Lei YANG, Yujing JIANG, Bo LI, Shucai LI, Yang GAO
Application of the expanded distinct element method for the study of crack growth in rock-like materials under uniaxial compression
The expanded distinct element method (EDEM) was used to investigate the crack growth in rock-like materials under uniaxial compression. The tensile-shear failure criterion and the Griffith failure criterion were implanted into the EDEM to determine the initiation and propagation of pre-existing cracks, respectively. Uniaxial compression experiments were also performed with the artificial rock-like samples to verify the validity of the EDEM. Simulation results indicated that the EDEM model with the tensile-shear failure criterion has strong capabilities for modeling the growth of pre-existing cracks, and model results have strong agreement with the failure and mechanical properties of experimental samples. The EDEM model with the Griffith failure criterion can only simulate the splitting failure of samples due to tensile stresses and is incapable of providing a comprehensive interpretation for the overall failure of rock masses. Research results demonstrated that sample failure primarily resulted from the growth of single cracks (in the form of tensile wing cracks and shear secondary cracks) and the coalescence of two cracks due to the growth of wing cracks in the rock bridge zone. Additionally, the inclination angle of the pre-existing crack clearly influences the final failure pattern of the samples.
expanded distinct element method (EDEM) / crack growth / rock-like material / tensile-shear failure criterion / Griffith failure criterion / mechanical and failure behavior
[1] |
Jiang Y, Li B, Yamashita Y. Simulation of cracking near a large underground cavern in a discontinuous rock mass using the expanded distinct element method. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(1): 97-106
CrossRef
Google scholar
|
[2] |
Yang L, Jiang Y, Li S,
|
[3] |
Brace W, Bombolakis E. A note on brittle crack growth in compression. Journal of Geophysical Research, 1963, 68(12): 3709-3713
CrossRef
Google scholar
|
[4] |
Ashby M F, Hallam S D. The fracture of brittle solids containing small cracks under compressive stress states. Acta Materialia, 1986, 34(3): 497-510
|
[5] |
Ashby M F, Sammis C G. The damage mechanics of brittle solids in compression. Pure and Applied Geophysics, 1990, 133(3): 489-521
CrossRef
Google scholar
|
[6] |
Horii H, Nemat-Nasser S. Compression-induced microcrack growth in brittle solids: axial splitting and shear failure. Journal of Geophysical Research, 1985, 90(B4): 3105-3125
CrossRef
Google scholar
|
[7] |
Horii H, Nemat-Nasser S. Brittle failure in compression: splitting, faulting and brittle-ductile transition. Philosophical Transactions of the Royal Society of London, 1986, 319: 337-374 (Series A)
|
[8] |
Guptal V, Bergström J S. Compressive failure of rocks. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(3-4): 112
|
[9] |
Basista M, Gross D. The sliding crack model of brittle deformation: an internal variable approach. International Journal of Solids and Structures, 1998, 35(5-6): 487-509
CrossRef
Google scholar
|
[10] |
Lajtai E Z. A theoretical and experimental evaluation of the Griffith theory of brittle fracture. Tectonophysics, 1971, 11(2): 129-156
CrossRef
Google scholar
|
[11] |
Lajtai E Z. Brittle fracture in compression. International Journal of Fracture, 1974, 10(4): 525-536
CrossRef
Google scholar
|
[12] |
Jiefan H, Ganglin C, Yonghong Z,
CrossRef
Google scholar
|
[13] |
Bobet A. The initiation of secondary cracks in compression. Engineering Fracture Mechanics, 2000, 66(2): 187-219
CrossRef
Google scholar
|
[14] |
Sagong M, Bobet A. Coalescence of multiple flaws in a rock-model material in uniaxial compression. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(2): 229-241
CrossRef
Google scholar
|
[15] |
Wong R H C, Chau K T. The coalescence of frictional cracks and the shear zone formation in brittle solids under compressive stresses. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(3/4): 335
|
[16] |
Bobet A, Einstein H H. Fracture coalescence in rock-type materials under uniaxial and biaxial compression. International Journal of Rock Mechanics and Mining Sciences, 1998, 35(7): 863-888
CrossRef
Google scholar
|
[17] |
Bouchard P O, Bay F, Chastel Y, Tovena I. Crack propagation modelling using an advanced remeshing technique. Computer Methods in Applied Mechanics and Engineering, 2000, 189(3): 723-742
CrossRef
Google scholar
|
[18] |
Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering, 1999, 45(5): 601-620
CrossRef
Google scholar
|
[19] |
Tang C A. Numerical Simulation of Progressive Failure and Associated Seismicity. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(2): 249-261
CrossRef
Google scholar
|
[20] |
Tang C A, Kou S Q. Crack propagation and coalescence in brittle materials under compression. Engineering Fracture Mechanics, 1998, 61(3-4): 311-324
CrossRef
Google scholar
|
[21] |
Wong R H C, Tang C A, Chau K T,
CrossRef
Google scholar
|
[22] |
Lauterbach B, Gross D. Crack growth in brittle solids under compression. Mechanics of Materials, 1998, 29(2): 81-92
CrossRef
Google scholar
|
[23] |
Singh R, Carter B J, Wawrzynek P A,
CrossRef
Google scholar
|
[24] |
Nakagawa K. Numerical approaches of rock mass behaviors considering crack generation and large deformation. Dissertation for the Doctoral Degree. Fukuoka: Kyushu University, 1999
|
[25] |
Itasca Consulting Group Inc. Universal Distinct Element Code: Theory and Background. Minnesota, USA, 2004
|
[26] |
Hudson J A, Harrison J P. Engineering Rock Mechanics: An Introduction to the Principles. Oxford: Elsevier Ltd, 1997
|
[27] |
Jiang Y, Xiao J, Tanabashi Y,
CrossRef
Google scholar
|
[28] |
Guo Y, Wong R H C, Zhu W,
|
[29] |
Griffith A A. The phenomena of rupture and flow in solids. Philosophical Transactions of the Royal Society of London, 1921, 221: 163-198 (Series A)
|
/
〈 | 〉 |