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Non-linear Shear Strength Reduction Method for Slope Stability Based on the HB Criterion

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Abstract

Existing numerical modeling of three-dimensional (3D) slopes is mainly performed by the shear strength reduction (SSR) technique based on the linear Mohr-Coulomb (MC) criterion, whereas the non-linear failure criterion for rock slope stability is seldom used in slope modeling. However, it is known that rock mass strength is a non-linear stress function and that, therefore, the linear MC criterion does not agree with the rock mass failure envelope very well. In this research, therefore, a non-linear SSR technique is proposed that can use the Hoek-Brown (HB) criterion to represent the non-linear behavior of a rock mass in FLAC3D program to analyze 3D slope stability. Extensive case studies are carried out to investigate the influence of convergence criterion and boundary conditions on the 3D slope modeling. Results show that the convergence criterion used in the 3D model plays an important role, not only in terms of the calculation of the factor of safety (FOS), but also in terms of the shape of the failure surface. The case studies also demonstrate that the value of the FOS for a given slope will be significantly influenced by the boundary condition when the slope angle is less than 50°.

References

  1. Basarir H, Ozsan H, Karakus M (2005) Analysis of support requirements for a shallow diversion tunnel at Guledar dam site. Turkey Eng Geol 81(2):131–145CrossRefGoogle Scholar
  2. Cheng Y, Yip C (2007) Three-dimensional asymmetrical slope stability analysis extension of Bishop’s, Janbu’s, and Morgenstern-Price’s techniques. J Geotech Geoenvironmental Eng 133(12):1544–1555CrossRefGoogle Scholar
  3. Chugh A (2003) On the boundary conditions in slope stability analysis. Int J Numer Anal Meth Geomech 27:905–926CrossRefGoogle Scholar
  4. Dawson E, Roth W, Drescher A (1999) Slope stability analysis by strength reduction. Géotechnique 49(6):835–840CrossRefGoogle Scholar
  5. Detournay C, Hart R, Varona P (2011) Factor of safety measure for Hoek-Brown material. Continuum and distinct element numerical modeling in geomechanics-2011-Sainsbury, Hart, Detournay & Nelson (eds.) Paper: 13-07Google Scholar
  6. Duncan J (1996) State of the art: limit equilibrium and finite-element analysis of slopes. J Geotech Geoenvironmental Eng 122(7):577–596CrossRefGoogle Scholar
  7. Douglas K (2002) The shear strength of rock masses. Ph.D. Thesis, University of New South Wales, AustraliaGoogle Scholar
  8. Eid H (2010) Two-and three-dimensional analyses of translational slides in soils with nonlinear failure envelopes. Can Geotech J 47(4):388–399CrossRefGoogle Scholar
  9. Farzaneh O, Askari F, Ganjian N (2008) Three-dimensional stability analysis of convex slopes in plan view. J Geotech Geoenvironmental Eng 134(8):1192–1200CrossRefGoogle Scholar
  10. Fu W, Liao Y (2010) Non-linear shear strength reduction technique in slope stability calculation. Comput Geotech 37:288–298CrossRefGoogle Scholar
  11. Gharti H, Komatitsch D, Oye V, Martin R, Tromp J (2012) Application of an elastoplastic spectral-element method to 3D slope stability analysis. Int J Numer Meth Eng 91(1):1–26CrossRefGoogle Scholar
  12. Griffiths D, Marquez R (2007) Three-dimensional slope stability analysis by elasto-plastic finite elements. Géotechnique 57(6):537–546CrossRefGoogle Scholar
  13. Hammah R, Yacoub T, Corkum B, Curran J (2005) The shear strength reduction method for the generalized Hoek-Brown criterion. ARMA/USRMS 05-810Google Scholar
  14. Hoek E, Brown ET (1980) Underground Excavations in Rock. Instn Min Metall, LondonGoogle Scholar
  15. Hoek E, Carranza-Torres C, Corkum B (2002) Hoek-Brown failure criterion—2002 Edition. In: Hammah R, Bawden W, Curran J, Telesnicki M (eds), Proceedings of NARMS-TAC 2002, Mining innovation and technology. Toronto available from www.rocscience.com. 20 Sept 2011
  16. Itasca Consulting Group (2009). FLAC3D 4.0 manual. MinneapolisGoogle Scholar
  17. Jimenez R, Serrano A, Olalla C (2008) Linearization of the Hoek and Brown rock failure criterion for tunnelling in elasto-plastic rock masses. Int J Rock Mech Min Sci 45:1153–1163CrossRefGoogle Scholar
  18. Karakus M (2007) Appraising the methods accounting for 3D tunnelling effects in 2D plane strain FE analysis. Tunn Undergr Space Technol 22(1):47–56CrossRefGoogle Scholar
  19. Karakus M, Ozsan A, Basarir H (2007) Finite element analysis for the twin metro tunnel constructed in Ankara Clay, Turkey. Bull Eng Geol Environ 66(1):71–79CrossRefGoogle Scholar
  20. Kumar P (1998) Shear failure envelope of Hoek-Brown criterion for rockmass. Tunn Undergr Space Technol 13(4):453–458CrossRefGoogle Scholar
  21. Li A, Merifield R, Lyamin A (2008) Stability charts for rock slopes based on the Hoek-Brown failure criterion. Int J Rock Mech Min Sci 45(5):689–700CrossRefGoogle Scholar
  22. Li A, Merifield R, Lyamin A (2009) Limit analysis solutions for three dimensional undrained slopes. Comput Geotech 36(8):1330–1351CrossRefGoogle Scholar
  23. Li A, Merifield R, Lyamin A (2010) Three-dimensional stability charts for slopes based on limit analysis methods. Can Geotech J 47(12):1316–1334CrossRefGoogle Scholar
  24. Michalowski R (2010) Limit analysis and stability charts for 3D slope failures. J Geotech Geoenvironmental Eng 136(4):583–593CrossRefGoogle Scholar
  25. Michalowski R, Drescher A (2009) Three-dimensional stability of slopes and excavations. Géotechnique 59(10):839–850CrossRefGoogle Scholar
  26. Michalowski R, Nadukuru S (2013) Three-dimensional limit analysis of slopes with pore pressure. J Geotech Geoenvironmental Eng 139(9):1604–1610CrossRefGoogle Scholar
  27. Nadukuru S, Michalowski R (2013) Three-dimensional displacement analysis of slopes subjected to seismic loads. Can Geotech J 50(6):650–661CrossRefGoogle Scholar
  28. Naghadehi M, Jimenez R, Khalokakaie R, Jalali S (2013) A new open-pit mine slope instability index defined using the improved rock engineering systems approach. Int J Rock Mech Min Sci 61:1–14CrossRefGoogle Scholar
  29. Nian T, Huang R, Wan S, Chen G (2012) Three-dimensional strength-reduction finite element analysis of slopes: geometric effects. Can Geotech J 49(5):574–588CrossRefGoogle Scholar
  30. Priest S (2005) Determination of shear strength and three-dimensional yield strength for the Hoek-Brown criterion. Rock Mech Rock Eng 38(4):299–327CrossRefGoogle Scholar
  31. Stianson J, Fredlund D, Chan D (2011) Three-dimensional slope stability based on stresses from a stress-deformation analysis. Can Geotech J 48(6):891–904CrossRefGoogle Scholar
  32. Shen J (2013) Analytical and numerical analyses for rock slope stability using generalized Hoek-Brown criterion. Ph.D thesis, School of civil, Environmental and mining engineering, The University of Adelaide, AustraliaGoogle Scholar
  33. Shen H, Abbas S (2013) Rock slope reliability analysis based on distinct element method and random set theory. Int J Rock Mech Min Sci 61:15–22CrossRefGoogle Scholar
  34. Shen J, Karakus M, Xu (2012a) Direct expressions for linearization of shear strength envelopes given by the generalized Hoek-Brown criterion using genetic programming. Comput Geotech 44:139–146CrossRefGoogle Scholar
  35. Shen J, Priest S, Karakus M (2012b) Determination of Mohr-Coulomb shear strength parameters from generalized Hoek-Brown criterion for slope stability analysis. Rock Mech Rock Eng 45:123–129CrossRefGoogle Scholar
  36. Taheri A, Tani K (2010) Assessment of the stability of rock slopes by the slope stability rating classification system. Rock Mech Rock Eng 43:321–333CrossRefGoogle Scholar
  37. Tao M, Li X, Li D (2013) Rock failure induced by dynamic unloading under 3D stress state. Theoret Appl Fract Mech 65:47–54CrossRefGoogle Scholar
  38. Tutluoglu L, Ferid I, Karpuz C (2011) Two and three dimensional analysis of a slope failure in a lignite mine. Comput Geosci 37(2):232–240CrossRefGoogle Scholar
  39. Wei W, Cheng Y, Li L (2009) Three-dimensional slope failure analysis by the strength reduction and limit equilibrium methods. Comput Geotech 36(1–2):70–80CrossRefGoogle Scholar
  40. Zhang Y, Chen G, Zheng L, Li Y, Zhuang X (2013) Effects of geometries on three-dimensional slope stability. Can Geotech J 50(3):223–249Google Scholar
  41. Zheng H (2012) A three-dimensional rigorous method for stability analysis of landslides. Eng Geol 145–146:30–40CrossRefGoogle Scholar

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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.School of Mechanics and Civil EngineeringChina University of Mining & Technology-BeijingBeijingChina
  2. 2.Institute of Port, Coastal and Offshore EngineeringZhejiang UniversityHangzhouChina

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