Skip to main content
Log in

Experimental and numerical study on loading rate effects of rock-like material specimens containing two unparallel fissures

  • Geological, Civil, Energy and Traffic Engineering
  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

A series of laboratory experiments and PFC numerical simulations for rock-like material specimens containing two unparallel fissures were carried out. On the basis of experimental and numerical results, the stress-strain curves, mechanical properties, AE events, cracking behavior and energy characteristics were analyzed to reveal the macro-mechanical behavior and meso-mechanism of pre-fissured specimens under different loading rates. Investigated results show that: 1) When the loading rate is relatively low, the stress-strain curves show a brittle response. When the loading rate is relatively high, the curve shows a more ductile response. Both of the peak strength and elastic mudulus increase with the increase of loading rate, which can be expressed as power functions. 2) Four crack types are identified, i.e., tensile crack, shear crack, far-field crack and surface spalling. Moreover, the tensile crack, far-field crack and surface spalling are under tensile mechanism, while the shear crack is under shear mechanism. 3) The drops of the stress-strain curves all correspond to the crack initiation or coalescence, which is also linked to a sudden increasing in the accumulated micro-crack curve. 4) Both of the maximum bond force and energy have the similar trend with the increase of loading rate to peak strength, which indicates that the trend of peak strength can be explained by the meso-mechanics and energy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. ZHANG Z X, KOU S Q, YU J, YU Y, JIANG L G, LINDQVIST P A. Effects of loading rate on rock fracture [J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(5): 597–611.

    Article  Google Scholar 

  2. LIANG W G, ZHAO Y S, XU S G, DUSSEAULT M B. Effect of strain rate on the mechanical properties of salt rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(1): 161–167.

    Article  Google Scholar 

  3. GONG F Q, ZHAO G F. Dynamic indirect tensile strength of sandstone under different loading rates [J]. Rock Mechanics and Rock Engineering, 2014, 47(6): 2271–2278.

    Article  MathSciNet  Google Scholar 

  4. ZHAO G F, RUSSELL A R, ZHAO X, KHALILI N. Strain rate dependency of uniaxial tensile strength in Gosford sandstone by the distinct lattice spring model with X-ray micro CT[J]. International Journal of Solids and Structures, 2014, 51(7): 1587–1600.

    Article  Google Scholar 

  5. LIANG C, WU S, LI X, XIN P. Effects of strain rate on fracture characteristics and mesoscopic failure mechanisms of granite [J]. International Journal of Rock Mechanics and Mining Sciences, 2015, 76: 146–154.

    Article  Google Scholar 

  6. SHEN B. The mechanism of fracture coalescence in compression— Experimental study and numerical simulation [J]. Engineering Fracture Mechanics, 1995, 51(1): 73–85.

    Article  Google Scholar 

  7. WONG R H C, CHAU K T. Crack coalescence in a rock-like material containing two cracks [J]. International Journal of Rock Mechanics and Mining Sciences, 1998, 35(2): 147–164.

    Article  Google Scholar 

  8. BOBET A. The initiation of secondary cracks in compression [J]. Engineering Fracture Mechanics, 2000, 66(2): 187–219.

    Article  Google Scholar 

  9. GEHLE C, KUTTER H K. Breakage and shear behaviour of intermittent rock joints [J]. International Journal of Rock Mechanics and Mining Sciences, 2003, 40(5): 687–700.

    Article  Google Scholar 

  10. FUJII Y, ISHIJIMA Y. Consideration of fracture growth from an inclined slit and inclined initial fracture at the surface of rock and mortar in compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(6): 1035–1041.

    Article  Google Scholar 

  11. LI Y P, CHEN L Z, WANG Y H. Experimental research on pre-cracked marble under compression [J]. International Journal of Solids and Structures, 2005, 42(9): 2505–2516.

    Article  Google Scholar 

  12. WONG L N Y, EINSTEIN H H. Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(2): 239–249.

    Article  Google Scholar 

  13. YANG S Q, DAI Y H, HAN L J, JIN Z Q. Experimental study on mechanical behavior of brittle marble samples containing different flaws under uniaxial compression [J]. Engineering Fracture Mechanics, 2009, 76(12): 1833–1845.

    Article  Google Scholar 

  14. ZHOU X P, CHENG H, FENG Y F. An experimental study of crack coalescence behaviour in rock-like materials containing multiple flaws under uniaxial compression [J]. Rock Mechanics and Rock Engineering, 2014, 47(6): 1961–1986.

    Article  Google Scholar 

  15. LEE H, JEON S. An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression [J]. International Journal of Solids and Structures, 2011, 48(6): 979–999.

    Article  MathSciNet  MATH  Google Scholar 

  16. YANG S Q, LIU X R, JING H W. Experimental investigation on fracture coalescence behavior of red sandstone containing two unparallel fissures under uniaxial compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2013, 63: 82–92.

    Article  Google Scholar 

  17. HAERI H, SHAHRIAR K, MARJI M F, MOAREFVAND P. Experimental and numerical study of crack propagation and coalescence in pre-cracked rock-like disks [J]. International Journal of Rock Mechanics and Mining Sciences, 2014, 67: 20–28.

    Article  Google Scholar 

  18. HAERI H, SHAHRIAR K, MARJI M F, MOAREFVAND P. A coupled numerical–experimental study of the breakage process of brittle substances [J]. Arabian Journal of Geosciences, 2015, 8: 809–825.

    Article  Google Scholar 

  19. ZHANG X P, WONG L N Y. Loading rate effects on cracking behavior of flaw-contained specimens under uniaxial compression [J]. International Journal of Fracture, 2013, 180(1): 93–110.

    Article  MathSciNet  Google Scholar 

  20. CUNDALL P A, STRACK O D L. A discrete numerical model for granular assemblies [J]. Geotechnique, 1979, 29(1): 47–65.

    Article  Google Scholar 

  21. ZHANG X P, WONG L N Y. Cracking processes in rock-like material containing a single flaw under uniaxial compression: A numerical study based on parallel bonded-particle model approach [J]. Rock Mechanics and Rock Engineering, 2012, 45(5): 711–737.

    Google Scholar 

  22. GHAZVINIAN A, SARFARAZI V, SCHUBERT W, BLUMEL M. A study of the failure mechanism of planar non-persistent open joints using PFC2D [J]. Rock Mechanics and Rock Engineering, 2012, 45(5): 677–693.

    Google Scholar 

  23. GHAZVINIAN A, NEJATI H R, SARFARAZI V, HADEI M R. Mixed mode crack propagation in low brittle rock-like materials [J]. Arabian Journal of Geosciences, 2013, 6(11): 4435–4444.

    Article  Google Scholar 

  24. MANOUCHEHRIAN A, MARJI M F. Numerical analysis of confinement effect on crack propagation mechanism from a flaw in a pre-cracked rock under compression [J]. Acta Mechanica Sinica, 2012, 28(5): 1389–1397.

    Article  Google Scholar 

  25. MANOUCHEHRIAN A, SHARIFZADEH M, MARJI M F, GHOLAMNEJAD J. A bonded particle model for analysis of the flaw orientation effect on crack propagation mechanism in brittle materials under compression [J]. Archives of Civil and Mechanical Engineering, 2014, 14(1): 40–52.

    Article  Google Scholar 

  26. SARFARAZI V, GHAZVINIAN A, SCHUBERT W, BLUMFL M, NEJATI H R. Numerical simulation of the process of fracture of echelon rock joints [J]. Rock Mechanics and Rock engineering, 2014, 47(4): 1355–1371.

    Article  Google Scholar 

  27. YANG S Q, HUANG Y H, JING H W, LIU X R. Discrete element modeling on fracture coalescence behavior of red sandstone containing two unparallel fissures under uniaxial compression [J]. Engineering Geology, 2014, 178: 28–48.

    Article  Google Scholar 

  28. LI Shu-chen, WANG Lei, LI Shu-cai, HAN Jian-xin. Post-peak deformation and failure experimental study of rock-like specimens with different inclination angles persistent joints [J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(S2): 3391–3395. (in Chinese)

    Google Scholar 

  29. ZHUANG X, CHUN J, ZHU H. A comparative study on unfilled and filled crack propagation for rock-like brittle material [J]. Theoretical and Applied Fracture Mechanics, 2014, 72: 110–120.

    Article  Google Scholar 

  30. WONG R H C, CHAU K T. Crack coalescence in a rock-like material containing two cracks [J]. International Journal of Rock Mechanics and Mining Sciences, 1998, 35(2): 147–164.

    Article  Google Scholar 

  31. SAGONG M, BOBET A. Coalescence of multiple flaws in a rock-model material in uniaxial compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(2): 229–241.

    Article  Google Scholar 

  32. WONG L N Y, EINSTEIN H H. Crack coalescence in molded gypsum and Carrara marble: Part 1. Macroscopic observations and interpretation [J]. Rock Mechanics and Rock Engineering, 2009, 42(3): 475–511.

    Article  Google Scholar 

  33. YANG S Q, JING H W. Strength failure and crack coalescence behavior of brittle sandstone samples containing a single fissure under uniaxial compression [J]. International Journal of Fracture, 2011, 168(2): 227–250.

    Article  Google Scholar 

  34. HUANG Da, CEN Duo-feng, HUANG Run-qiu. Influence of medium strain rate on sandstone with a single pre-crack under uniaxial compression using PFC simulation [J]. Rock and Soil Mechanicsm, 2013, 34(2): 535–545. (in Chinese)

    Google Scholar 

  35. DIEDERICHS M S. Instability of hard rockmasses: The role of tensile damage and relaxation [M]. University of Waterloo, 2001.

    Google Scholar 

  36. AL-SHAYEA N A. Crack propagation trajectories for rocks under mixed mode I–II fracture [J]. Engineering Geology, 2005, 81(1): 84–97.

    Article  Google Scholar 

  37. ZHANG Zhi-qiang, LI Ning, CHEN Fang-fang, ZHANG Ping. Review and status of research on failure mode of nonpenetrative fractured rock mass [J]. Rock and Soil Mechanics, 2009, 30(s2): 142–148. (in Chinese)

    MathSciNet  Google Scholar 

  38. Itasca Consulting Group Inc. Particle flow code [R]. Sudbury: Itasca Consulting Group Inc, 2004.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sheng-qi Yang  (杨圣奇).

Additional information

Foundation item: Project (BK20150005) supported by the Natural Science Foundation of Jiangsu Province for Distinguished Young Scholars, China; Project (2014YC10) supported by the Fundamental Research Funds for the Central Universities, China

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, Yh., Yang, Sq. & Zeng, W. Experimental and numerical study on loading rate effects of rock-like material specimens containing two unparallel fissures. J. Cent. South Univ. 23, 1474–1485 (2016). https://doi.org/10.1007/s11771-016-3200-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-016-3200-3

Keywords

Navigation