Seismic Stability of a Fissured Slope Based on Nonlinear Failure Criterion

  • Zhaohui Pang
  • Danping GuEmail author


In this study, the kinematic approach of limit analysis is employed to investigate the seismic stability of slopes with cracks on the basis of a nonlinear failure criterion. Quasi-static representation is adopted to consider the seismic effect using a non-dimensional coefficient named as horizontal seismic coefficient. The maximum crack depth is determined by requiring that the crack profile can keep stable. Of many cracks present in the upper part of the slope, only one that has the most unfavorable influence on the slope stability is involved. The critical height of slopes is determined and expressed using a stability factor. The minimum stability factor is sought by optimization. Numerical results are obtained to analyze the parametric effects. The obtained results indicate that accounting for the presence of cracks and seismic effect results in a more conservative result so they cannot be overlooked in the design of slopes, and that soil strength nonlinearity has a great impact on the slope stability. This paper considers a more realistic service behavior of slopes where the effects of cracks, soil strength nonlinearity and seismic actions are taken into account, and presents an effective solution for estimating the stability of such slopes.


Slope stability Cracks Nonlinear failure criterion Seismic effect 



In preparing this work, the authors were supported by the planning project of Hunan Province in 2017 (XJK17BGD013), the scientific research project of the Hunan Provincial Education Department (17C0439), the scientific research project of Hengyang Municipal Science and Technology Bureau in 2016 (2016KG66), and the research learning and innovative experiment project for university students of Hunan Province in 2018. These financial supports are greatly appreciated.


  1. Bishop AW (1955) The use of the slip circle in the stability analysis of slopes. Géotechnique 5(1):7–17CrossRefGoogle Scholar
  2. Chen WF (1975) Limit analysis and soil plasticity. Elsevier, New YorkGoogle Scholar
  3. Gao Y, Wu D, Zhang F (2015) Effects of nonlinear failure criterion on the three-dimensional stability analysis of uniform slopes. Eng Geol 198:87–93CrossRefGoogle Scholar
  4. Kaniraj SR, Abdullah H (1993) Effect of berms and tension crack on the stability of embankments on soft soils. Solis Found 33(4):99–107CrossRefGoogle Scholar
  5. Kumar J, Samui P (2006) Stability determination for layered soil slopes using the upper bound limit analysis. Geotech Geol Eng 24(6):1803–1819CrossRefGoogle Scholar
  6. Lane PA, Griffiths DV (2000) Assessment of stability of slopes under drawdown conditions. J Geotech Geoenviron Eng 126(5):443–450CrossRefGoogle Scholar
  7. Lefebvre G (1981) Fourth Canadian geotechnical colloquium: strength and slope stability in Canadian soft clay deposits. Can Geotech J 18(3):420–442CrossRefGoogle Scholar
  8. Mehdipour I, Ghazavi M, Moayed RZ (2013) Numerical study on stability analysis of geocell reinforced slopes by considering the bending effect. Geotext Geomembr 37(4):23–34CrossRefGoogle Scholar
  9. Mello VBF (1997) Reflections on design decisions of practical significance to embankment dams -17th rankine lecture. Géotechnique 27(3):281–354CrossRefGoogle Scholar
  10. Michalowski RL (2013) Stability assessment of slopes with cracks using limit analysis. Can Geotech J 50(10):1001–1021CrossRefGoogle Scholar
  11. Qin CB, Chian SC (2018) New perspective on seismic slope stability analysis. Int J Geomech 18(7):06018013CrossRefGoogle Scholar
  12. Sakellariou MG, Ferentinou MD (2005) A study of slope stability prediction using neural networks. Geotech Geol Eng 23(4):419–445CrossRefGoogle Scholar
  13. Tietje O, Fitze P, Schneider HR (2014) Slope stability analysis based on autocorrelated shear strength parameters. Geotech Geol Eng 32(6):1477–1483CrossRefGoogle Scholar
  14. Utili S (2013) Investigation by limit analysis on the stability of slopes with cracks. Géotechnique 63(2):140–154CrossRefGoogle Scholar
  15. Utili S, Abd A (2016) On the stability of fissured slopes subject to seismic action. Int J Numer Anal Methods Geomech 40(5):785–806CrossRefGoogle Scholar
  16. Xu JS, Li YX, Yang XL (2018) Seismic and static 3D stability of two-stage slope considering joined influences of nonlinearity and dilatancy. KSCE J Civ Eng 22(10):3827–3836CrossRefGoogle Scholar
  17. Yang XL, Yin JH (2004) Slope stability analysis with nonlinear failure criterion. J Eng Mech 130(3):267–273CrossRefGoogle Scholar
  18. Yao C, Yang X (2017) Limit analysis of unsaturated soil slope stability considering intermediate principal stress and strength nonlinearity. Geotech Geol Eng 35(5):2053–2063CrossRefGoogle Scholar
  19. Zhang XL, Chen WF (1987) Stability analysis of slopes with general nonlinear failure criterion. Int J Numer Anal Methods Geomech 11(1):33–50CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.College of Construction Engineering and ArtsHunan Institute of TechnologyHengyangChina
  2. 2.School of Civil EngineeringChangsha University of Science and TechnologyChangshaChina

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