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

Front. Struct. Civ. Eng. ›› 2012, Vol. 6 ›› Issue (2) : 121 -131.

PDF (525KB)
Front. Struct. Civ. Eng. ›› 2012, Vol. 6 ›› Issue (2) : 121 -131. DOI: 10.1007/s11709-012-0151-0
RESEARCH ARTICLE
RESEARCH ARTICLE

Application of the expanded distinct element method for the study of crack growth in rock-like materials under uniaxial compression

Author information +
History +
PDF (525KB)

Abstract

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.

Keywords

expanded distinct element method (EDEM) / crack growth / rock-like material / tensile-shear failure criterion / Griffith failure criterion / mechanical and failure behavior

Cite this article

Download citation ▾
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. Front. Struct. Civ. Eng., 2012, 6(2): 121-131 DOI:10.1007/s11709-012-0151-0

登录浏览全文

4963

注册一个新账户 忘记密码

References

[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

[2]

Yang L, Jiang Y, Li S, . Research on the propagation pattern of 3-D initial crack in rock-like material under uniaxial tension. Key Engineering Materials, 2011, 452-453: 817-820

[3]

Brace W, Bombolakis E. A note on brittle crack growth in compression. Journal of Geophysical Research, 1963, 68(12): 3709-3713

[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

[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

[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

[10]

Lajtai E Z. A theoretical and experimental evaluation of the Griffith theory of brittle fracture. Tectonophysics, 1971, 11(2): 129-156

[11]

Lajtai E Z. Brittle fracture in compression. International Journal of Fracture, 1974, 10(4): 525-536

[12]

Jiefan H, Ganglin C, Yonghong Z, . An experimental study of the strain field development prior to failure of a marble plate under compression. Tectonophysics, 1990, 175(1-3): 269-284

[13]

Bobet A. The initiation of secondary cracks in compression. Engineering Fracture Mechanics, 2000, 66(2): 187-219

[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

[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

[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

[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

[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

[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

[21]

Wong R H C, Tang C A, Chau K T, . Splitting failure in brittle rocks containing pre-existing flaws under uniaxial compression. Engineering Fracture Mechanics, 2002, 69(17): 1853-1871

[22]

Lauterbach B, Gross D. Crack growth in brittle solids under compression. Mechanics of Materials, 1998, 29(2): 81-92

[23]

Singh R, Carter B J, Wawrzynek P A, . Universal crack closure integral for SIF estimation. Engineering Fracture Mechanics, 1998, 60(2): 133-146

[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, . Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(2): 275-286

[28]

Guo Y, Wong R H C, Zhu W, . Study on fracture pattern of open surface-flaw in grabbro. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(3): 525-531 (in Chinese)

[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)

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg

AI Summary AI Mindmap
PDF (525KB)

2813

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/