Skip to main content
SpringerLink
Log in

3D stability assessment of stepped slopes in inhomogeneous soils

非均质土中台阶边坡的三维稳定性分析

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

Stability assessment of slopes has historically been performed assuming soils to be homogeneous in two-dimensional (2D) cases. In real cases, soils are usually inhomogeneous, and each slope collapse indicates a three-dimensional (3D) nature. Based on a 3D rotational failure mechanism, this work develops an approach to account for the impact of the vertical strength inhomogeneity on the 3D stability of stepped slopes. Seismic actions are taken into account by introducing the concept of a horizontal seismic coefficient. An upper-bound expression for stability factors is derived in the light of the kinematic approach, and the most critical solution is obtained from an optimization programming. In comparison with the previously published solutions, the validity of the proposed method is shown. A sensitivity analysis is carried out to discuss parametric effects on the stability of 3D stepped inhomogeneous slopes.

摘要

传统的边坡分析一般是在二维情况下进行的, 并且假设土壤是均匀的. 在实际情况下, 土壤通常是不均匀的, 而且边坡崩塌都显示出三维的性质. 本文基于三维旋转破坏机理, 提出了考虑垂直强度不均匀性对台阶边坡三维稳定性影响的方法. 同时引入水平地震系数的概念来考虑地震作用. 根据上限定理导出了稳定因子的表达式, 并通过优化规划得到了最优解. 通过与已有解的比较, 证明了该方法的有效性. 最后, 对三维台阶非均质边坡稳定性进行了敏感性分析, 讨论了参数对边坡稳定性的影响.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. AMINPOUR M M, MALEKI M, GHANBARI A. Investigation of the effect of surcharge on behavior of soil slopes [J]. Geomechanics and Engineering, 2017, 13(4): 653–669.

    Google Scholar 

  2. YANG X L, CHEN J H. Factor of safety of geosynthetic-reinforced slope in unsaturated soils [J]. International Journal of Geomechanics, 2019, 19(6): 04019041.

    Article  Google Scholar 

  3. LI LC, TANG C A, ZHU W C, LIANG Z Z. Numerical analysis of slope stability based on the gravity increase method [J]. Computers and Geotechnics, 2009, 36(7): 1246–1258.

    Article  Google Scholar 

  4. UGAI K, LESHCHINSKY D O V. Three-dimensional limit equilibrium and finite element analyses: A comparison of results [J]. Soils and Foundations, 1995, 35(4): 1–7.

    Article  Google Scholar 

  5. CHEN Z, WANG X, HABERFIELD C, YIN J H, WANG Y. A three-dimensional slope stability analysis method using the upper bound theorem: Part I: Theory and methods [J]. International Journal of Rock Mechanics and Mining Sciences, 2001, 38(3): 369–378.

    Article  Google Scholar 

  6. GRIFFITHS D V, MARQUEZ R M. Three-dimensional slope stability analysis by elasto-plastic finite elements [J]. Géotechnique, 2007, 57(6): 537–546.

    Article  Google Scholar 

  7. CAMARGO J, VELLOSO R Q, VARGAS E A. Numerical limit analysis of three-dimensional slope stability problems in catchment areas [J]. Acta Geotechnica, 2016, 11(6): 1369–1383.

    Article  Google Scholar 

  8. MICHALOWSKI R L, DRESCHER A. Three-dimensional stability of slopes and excavations [J]. Géotechnique, 2009, 59(10): 839–850.

    Article  Google Scholar 

  9. LI Z W, YANG X L, LI T Z. Static and seismic stability assessment of 3D slopes with cracks [J]. Engineering Geology, 2020, 265: 105450.

    Article  Google Scholar 

  10. HUANG F, ZHANG M, WANG F, LING T H, YANG X L. The failure mechanism of surrounding rock around an existing shield tunnel induced by an adjacent excavation [J]. Computers and Geotechnics, 2020, 117: 103236.

    Article  Google Scholar 

  11. LI T Z, YANG X L. Stability of plane strain tunnel headings in soils with tensile strength cut-off [J]. Tunnelling and Underground Space Technology, 2020, 95: 103138.

    Article  Google Scholar 

  12. ZHONG J H, YANG X L. Kinematic stability of tunnel face in non-uniform soils [J]. KSCE Journal of Civil Engineering, 2020, 24(2). DOI: https://doi.org/10.1007/s12205-020-0996-z.

    Article  Google Scholar 

  13. CHEN W F. Limit analysis and soil plasticity [M]. Elsevier Science, Rotterdam, the Netherlands, 1975.

  14. DAVIS E H, BOOKER J R. The effect of increasing strength with depth on the bearing capacity of clays [J]. Géotechnique, 1985, 23(4): 551–563.

    Article  Google Scholar 

  15. GOURVENEC S, RANDOLPH M. Effect of strength non-homogeneity on the shape of failure envelopes for combined loading of strip and circular footings on clay [J]. Géotechnique, 2003, 53(6): 575–586.

    Article  Google Scholar 

  16. NIAN T K, CHEN G Q, LUAN M T, YANG Q, ZHENG D F. Limit analysis of the stability of slopes reinforced with piles against landslide in nonhomogeneous and anisotropic soils [J]. Canadian Geotechnical Journal, 2008, 45(8): 1092–1103.

    Article  Google Scholar 

  17. LIU Z, KOYI H A. Analogue modeling of the collapse of non-homogeneous granular slopes along weak horizons [J]. Tectonophysics, 2014, 632: 76–95.

    Article  Google Scholar 

  18. SHI G C, CHEN G, PAN Y T, YANG X L, LIU Y, DAI G Z. Stress-drop effect on brittleness evaluation of rock materials [J]. Journal of Central South University, 2019, 26(7): 1807–1819.

    Article  Google Scholar 

  19. YANG X L, ZHONG J H. Stability analysis of tunnel face in nonlinear soil under seepage flow[J]. KSCE Journal of Civil Engineering, 2019, 23(10): 4553–4563.

    Article  Google Scholar 

  20. LI Y X, YANG X L. Seismic displacement of 3D slope reinforced by piles with nonlinear failure criterion [J]. International Journal of Geomechanics, 2019, 19(6): 04019042.

    Article  Google Scholar 

  21. LI T Z, YANG X L. Probabilistic analysis for face stability of tunnels in Hoek-Brown media [J]. Geomechanics and Engineering, 2019, 18(6): 595–603.

    MathSciNet  Google Scholar 

  22. ZHOU Z, GAO WY, LIU ZZ, ZHANG CC. Influence zone division and risk assessment of underwater tunnel adjacent c onstructions[J]. Mathematical Problems in Engineering, 2019, (3): 1–10.

    Google Scholar 

  23. ZHOU Z, XING K, YANG H, WANG H. Damage mechanis m of soil-rock mixture after freeze-thaw cycles[J]. Journal of Central South University, 2019, 26(1): 13–24.

    Article  Google Scholar 

  24. XU J S, DU X L, YANG X L. Stability analysis of 3D geosynthetic-reinforced earth structures composed of nonhomogeneous cohesive backfills [J]. Soil Dynamics and Earthquake Engineering, 2019, 126: 105768.

    Article  Google Scholar 

  25. HUANG F, FENG Y, ZHANG Z Q, YANG X L, LING T H. Upper bound solution of the safety factor for a shield tunnel face subjected to the Hoek-Brown failure criterion [J]. International Journal of Civil Engineering, 2019, 17(12): 1941–1950.

    Article  Google Scholar 

  26. MONONOBE N, MATSUO H. On the determination of earth pressures during earthquakes [J]. Proceedings of World Engineering Congress, 1929, 9: 179–187.

    Google Scholar 

  27. OKABE S. General theory on earth pressure and seismic stability of retaining wall and dam [J]. Journal of Japan Society of Civil Engineers, 1924, 10(6): 1277–1323.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Civil & Architecture Engineering, Changzhou Institute of Technology, Changzhou, 213032, China

    Xiong-wei Li  (李雄威) & Jian-qun Zhu  (朱建群)

  2. School of Civil Engineering, Central South University, Changsha, 410075, China

    Zheng-wei Li  (李正伟) & Xiao-li Yang  (杨小礼)

Authors
  1. Xiong-wei Li  (李雄威)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jian-qun Zhu  (朱建群)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zheng-wei Li  (李正伟)
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xiao-li Yang  (杨小礼)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zheng-wei Li  (李正伟).

Additional information

Foundation item: Project(51378510) supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, Xw., Zhu, Jq., Li, Zw. et al. 3D stability assessment of stepped slopes in inhomogeneous soils. J. Cent. South Univ. 27, 221–230 (2020). https://doi.org/10.1007/s11771-020-4290-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-020-4290-5

Key words

关键词

Search

Navigation