Advertisement

Acta Geotechnica

, Volume 14, Issue 2, pp 443–460 | Cite as

Effects of confining pressure and loading path on deformation and strength of cohesive granular materials: a three-dimensional DEM analysis

  • Yulong Zhang
  • Jianfu ShaoEmail author
  • Zaobao Liu
  • Chong Shi
  • Géry De Saxcé
Research Paper

Abstract

This paper is devoted to numerical analysis of strength and deformation of cohesive granular materials. The emphasis is put on the study of effects of confining pressure and loading path. To this end, the three-dimensional discrete element method is used. A nonlinear failure criterion for inter-granular interface bonding is proposed, and it is able to account for both tensile and shear failure for a large range of normal stress. This criterion is implemented in the particles flow code. The proposed failure model is calibrated from triaxial compression tests performed on representative sandstone. Numerical results are in good agreement with experimental data. In particular, the effect of confining pressure on compressive strength and failure pattern is well described by the proposed model. Furthermore, numerical predictions are studied, respectively, for compression and extension tests with a constant mean stress. It is shown that the failure strength and deformation process are clearly affected by loading path. Finally, a series of numerical simulations are performed on cubic samples with three independent principal stresses. It is found that the strength and failure mode are strongly influenced by the intermediate principal stress.

Keywords

Bonded contact model Cohesive granular materials Contact interface Discrete element method (DEM) Loading path Sandstone 

Notes

Acknowledgements

The work is jointly supported by the lxNational Basic Research Program of China (973 Program) (Grant 2015CB057903) and the National Natural Science Foundation of China (Grant 51309089).

References

  1. 1.
    Borja RI, Song X, Rechenmacher AL, Abedi S, Wu W (2013) Shear band in sand with spatially varying density. J Mech Phys Solids 61:219–234CrossRefGoogle Scholar
  2. 2.
    Chen Y, Munkholm LJ, Nyord T (2013) A discrete element model for soil–sweep interaction in three different soils. Soil Tillage Res 126:34–41CrossRefGoogle Scholar
  3. 3.
    Cheung LYG, O’Sullivan C, Coop MR (2013) Discrete element method simulations of analogue reservoir sandstones. Int J Rock Mech Min Sci 63:93–103.  https://doi.org/10.1016/j.ijrmms.2013.07.002 CrossRefGoogle Scholar
  4. 4.
    Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. Geotechnique 29:47–65CrossRefGoogle Scholar
  5. 5.
    Das A, Tengattini A, Nguyen GD, Viggiani G, Hall SA, Einav I (2014) A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part II—validation and localization analysis. J Mech Phys Solids 70:382–405MathSciNetCrossRefGoogle Scholar
  6. 6.
    Debecker B, Vervoort A (2013) Two-dimensional discrete element simulations of the fracture behaviour of slate. Int J Rock Mech Min Sci 61:161–170.  https://doi.org/10.1016/j.ijrmms.2013.02.004 CrossRefGoogle Scholar
  7. 7.
    Ding X, Zhang L (2014) A new contact model to improve the simulated ratio of unconfined compressive strength to tensile strength in bonded particle models. Int J Rock Mech Min Sci 69:111–119CrossRefGoogle Scholar
  8. 8.
    Duan K, Kwok CY (2015) Discrete element modeling of anisotropic rock under Brazilian test conditions. Int J Rock Mech Min Sci 78:46–56.  https://doi.org/10.1016/j.ijrmms.2015.04.023 CrossRefGoogle Scholar
  9. 9.
    Duriez J, Eghbalian M, Wan R, Darve F (2017) The micromechanical nature of stresses in triphasic granular media with interfaces. J Mech Phys Solids 99:495–511MathSciNetCrossRefGoogle Scholar
  10. 10.
    Gehle C, Kutter HK (2003) Breakage and shear behaviour of intermittent rock joints. Int J Rock Mech Min Sci 40:687–700.  https://doi.org/10.1016/S1365-1609(03)00060-1 CrossRefGoogle Scholar
  11. 11.
    He P-F, Kulatilake PH, Yang X-X, Liu D-Q, He M-C (2017) Detailed comparison of nine intact rock failure criteria using polyaxial intact coal strength data obtained through PFC3D simulations. Acta Geotechn.  https://doi.org/10.1007/s11440-017-0566-9 Google Scholar
  12. 12.
    Itasca C (1999) PFC 3D-User manual Itasca Consulting Group, MinneapolisGoogle Scholar
  13. 13.
    Itasca C (2008) PFC 3D Manual, Version 4.0. Itasca Consulting Group, MinneapolisGoogle Scholar
  14. 14.
    Jiang M, Yu HS, Leroueil S (2007) A simple and efficient approach to capturing bonding effect in naturally microstructured sands by discrete element method. Int J Numer Methods Eng 69:1158–1193CrossRefzbMATHGoogle Scholar
  15. 15.
    Jiang M, Yan H, Zhu H, Utili S (2011) Modeling shear behavior and strain localization in cemented sands by two-dimensional distinct element method analyses. Comput Geotechn 38:14–29CrossRefGoogle Scholar
  16. 16.
    Kruyt N, Rothenburg L (2016) A micromechanical study of dilatancy of granular materials. J Mech Phys Solids 95:411–427MathSciNetCrossRefGoogle Scholar
  17. 17.
    Kulatilake P, Malama B, Wang J (2001) Physical and particle flow modeling of jointed rock block behavior under uniaxial loading. Int J Rock Mech Min Sci 38:641–657CrossRefGoogle Scholar
  18. 18.
    La Ragione L (2016) The incremental response of a stressed, anisotropic granular material: loading and unloading. J Mech Phys Solids 95:147–168MathSciNetCrossRefGoogle Scholar
  19. 19.
    La Ragione L, Prantil V, Jenkins J (2015) A micromechanical prediction of localization in a granular material. J Mech Phys Solids 83:146–159MathSciNetCrossRefGoogle Scholar
  20. 20.
    Lee H, Jeon S (2011) An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression. Int J Solids Struct 48:979–999.  https://doi.org/10.1016/j.ijsolstr.2010.12.001 CrossRefzbMATHGoogle Scholar
  21. 21.
    Mak J, Chen Y, Sadek M (2012) Determining parameters of a discrete element model for soil–tool interaction. Soil Tillage Res 118:117–122CrossRefGoogle Scholar
  22. 22.
    Mas Ivars D, Pierce ME, Darcel C, Reyes-Montes J, Potyondy DO, Paul Young R, Cundall PA (2011) The synthetic rock mass approach for jointed rock mass modelling. Int J Rock Mech Min Sci 48:219–244.  https://doi.org/10.1016/j.ijrmms.2010.11.014 CrossRefGoogle Scholar
  23. 23.
    Mehranpour MH, Kulatilake PH (2016) Comparison of six major intact rock failure criteria using a particle flow approach under true-triaxial stress condition. Geomech Geophys Geo-Energy Geo-Resourc 2:203–229CrossRefGoogle Scholar
  24. 24.
    Nakase H, Annaka T, Katahira F, Kyono T (1992) An application study of the distinct element method to plane strain compression test. Doboku Gakkai Ronbunshu 1992:55–64CrossRefGoogle Scholar
  25. 25.
    Park B, Min K-B (2015) Bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock. Int J Rock Mech Min Sci 76:243–255CrossRefGoogle Scholar
  26. 26.
    Park J-W, Song J-J (2009) Numerical simulation of a direct shear test on a rock joint using a bonded-particle model. Int J Rock Mech Min Sci 46:1315–1328.  https://doi.org/10.1016/j.ijrmms.2009.03.007 CrossRefGoogle Scholar
  27. 27.
    Potyondy D, Cundall P (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41:1329–1364CrossRefGoogle Scholar
  28. 28.
    Scholtès L, Donzé F-V (2012) Modelling progressive failure in fractured rock masses using a 3D discrete element method. Int J Rock Mech Min Sci 52:18–30.  https://doi.org/10.1016/j.ijrmms.2012.02.009 CrossRefGoogle Scholar
  29. 29.
    Schöpfer MP, Abe S, Childs C, Walsh JJ (2009) The impact of porosity and crack density on the elasticity, strength and friction of cohesive granular materials: insights from DEM modelling. Int J Rock Mech Min Sci 46:250–261CrossRefGoogle Scholar
  30. 30.
    Shi C, Zhang Y-L, Xu W-Y, Zhu Q-Z, Wang S-N (2013) Risk analysis of building damage induced by landslide impact disaster. Eur J Environ Civil Eng 17:s126–s143CrossRefGoogle Scholar
  31. 31.
    Sibille L, Hadda N, Nicot F, Tordesillas A, Darve F (2015) Granular plasticity, a contribution from discrete mechanics. J Mech Phys Solids 75:119–139CrossRefGoogle Scholar
  32. 32.
    Tengattini A, Das A, Nguyen GD, Viggiani G, Hall SA, Einav I (2014) A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I—theory. J Mech Phys Solids 70:281–296MathSciNetCrossRefGoogle Scholar
  33. 33.
    Utili S, Nova R (2008) DEM analysis of bonded granular geomaterials. Int J Numer Anal Meth Geomech 32:1997–2031CrossRefzbMATHGoogle Scholar
  34. 34.
    Yang J, Luo X (2015) Exploring the relationship between critical state and particle shape for granular materials. J Mech Phys Solids 84:196–213CrossRefGoogle Scholar
  35. 35.
    Yang S-Q, Huang Y-H, Jing H-W, Liu X-R (2014) Discrete element modeling on fracture coalescence behavior of red sandstone containing two unparallel fissures under uniaxial compression. Eng Geol 178:28–48.  https://doi.org/10.1016/j.enggeo.2014.06.005 CrossRefGoogle Scholar
  36. 36.
    Yang X, Kulatilake P, Jing H, Yang S (2015) Numerical simulation of a jointed rock block mechanical behavior adjacent to an underground excavation and comparison with physical model test results. Tunn Undergr Space Technol 50:129–142CrossRefGoogle Scholar
  37. 37.
    Yao C, Jiang QH, Shao JF (2015) Numerical simulation of damage and failure in brittle rocks using a modified rigid block spring method. Comput Geotechn 64:48–60.  https://doi.org/10.1016/j.compgeo.2014.10.012 CrossRefGoogle Scholar
  38. 38.
    Yao C, Jiang Q, Shao J, Zhou C (2016) A discrete approach for modeling damage and failure in anisotropic cohesive brittle materials. Eng Fract Mech 155:102–118CrossRefGoogle Scholar
  39. 39.
    Zhang X-P, Wong LNY (2012) Cracking processes in rock-like material containing a single flaw under uniaxial compression: a numerical study based on parallel bonded-particle model approach. Rock Mech Rock Eng 45:711–737Google Scholar
  40. 40.
    Zhu H, Nguyen HN, Nicot F, Darve F (2016) On a common critical state in localized and diffuse failure modes. J Mech Phys Solids 95:112–131CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Key Laboratory of Ministry of Education for Geomechanics and Embankment EngineeringHohai UniversityNanjingChina
  2. 2.Laboratory of Mechanics of LilleUniversity of LilleVilleneuve d’AscqFrance

Personalised recommendations