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Reliability Analysis of Slope Reinforced by Anchors under Earthquake Action

  • EARTHQUAKE-RESISTANT CONSTRUCTION
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Soil Mechanics and Foundation Engineering Aims and scope

This study established a dynamic slope stability calculation model using the horizontal slice method, and obtained the limit state equation. The reliability index and failure probability of the slope were calculated using the checkpoint method. Then, the reliability and stability of the slope were calculated using the Geo-Studio finite element software. The results obtained by the proposed method were compared with the results obtained by Monte Carlo simulation and analyzed. Thus, it was found that the reliability decreased and the failure probability significantly increased as the peak seismic acceleration increased. There is no definite correspondence between the failure probability and the safety factor. Therefore, the proposed calculation method is reasonable and reliability analysis can better reflect the actual stability of a slope under seismic action.

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References

  1. S. H. Ye, G. W. Fang, and Y. P. Zhu, “Model establishment and response analysis of slope reinforced by frame with prestressed anchors under seismic considering the prestress,” Soil Dyn. Earthq. Eng., 122, 228-234 (2019).

    Article  Google Scholar 

  2. S. H. Ye and Z. F. Zhao, “Seismic response of pre-stressed anchors with frame structure,” Math. Probl. Eng., 2020, 9029045 (2020).

    Article  Google Scholar 

  3. Sh. H. Ye and Z. F. Zhao, “Allowable displacement of slope supported by frame structure with anchors under earthquake,” Int. J. Geomech., 20(10), 04020188 (2020).

    Article  Google Scholar 

  4. F. Y. Chen, R. H. Zhang, Y. Wang, H. L. Liu, T. Böhlke, and W. G. Zhang, “Probabilistic stability analyses of slope reinforced with piles in spatially variable soils,” Int. J. Approx. Reason., 122, 66-79 (2020).

    Article  Google Scholar 

  5. X. Z. Wu, “Probabilistic slope stability analysis by a copula-based sampling method,” Computat. Geosci., 17(5), 739-755 (2013).

    Article  MathSciNet  Google Scholar 

  6. D. Q. Li, T. Xiao, and Z. J. Cao, “Efficient and consistent reliability analysis of soil slope stability using both limit equilibrium analysis and finite element analysis,” Appl. Math. Model., 40(9-10), 5216-5229 (2016).

    Article  Google Scholar 

  7. J. M. Kim and N. Sitar, “Probabilistic evaluation of seismically induced permanent deformation of slopes,” Soil Dyn. Earthq. Eng., 44, 67-77 (2013).

    Article  Google Scholar 

  8. F. Zhang, Y. F. Gao, and Y. X. Wu, “Effects of vertical seismic acceleration on 3D slope stability,” Earthq. Eng. Eng. Vib., 15(3), 487-494 (2016).

    Article  Google Scholar 

  9. D. S. Y. A. Massih, A. H. Soubra, J. Harb, et al. “Dynamic slope stability analysis by a reliability-based approach,” Int. conf. on Recent Advances on Geotech earthquake Engrg. & Soil Dynamics (2014).

  10. X. Z. Wu, D. S. Liu, Q. H. Song, and Y. H. Ou, “Reliability analysis of slope dynamic stability based on strength reduction FEM,” Rock Soil Mech., 34(7), 2084-2090 (2013).

    Google Scholar 

  11. A. S. Al-Homoud and W. W. Tahtamoni, “Reliability analysis of three-dimensional dynamic slope stability and earthquake-induced permanent displacement,” Soil Dyn. Earthq. Eng., 19(2), 91-114 (2000).

    Article  Google Scholar 

  12. Z. Y. Wu, J. K. Chen, and Y. L. Li, “An algorithm in generalized coordinate system and its application to reliability analysis of seismic slope stability of high rockfill dams,” Eng. Geol., 188, 88-96 (2015).

    Article  Google Scholar 

  13. Z. X. Xu and X. P. Zhou, “Three-dimensional reliability analysis of seismic slope using the copula-based sampling method,” Eng. Geol., 242, 81-91 (2018).

    Article  Google Scholar 

  14. J. H. Xiao, W. P. Gong, and J. R. Martin II, “Probabilistic seismic stability analysis of slope at a given site in a specified exposure time,” Eng. Geol., 212, 53-62 (2016).

    Article  Google Scholar 

  15. H. S. Peng, J. Deng, and D. S. Gu, “Earth slope reliability analysis under seismic loadings using neural network,” J. Cent. South Univ., 12(5), 606-616 (2005).

    Article  Google Scholar 

  16. Y. Huang and M. Xiong, “Dynamic reliability analysis of slopes based on the probability density evolution method,” Soil Dyn. Earthq. Eng., 94, 1-6 (2017).

    Article  Google Scholar 

  17. S. H. Ye, G. W. Fang, and X. R. Ma, “Reliability analysis of grillage flexible slope supporting structure with anchors considering fuzzy transitional interval and fuzzy randomness of soil parameters,” Arab. J. Sci. Eng., 44(6), 8849-8857 (2019).

    Article  Google Scholar 

  18. S. H. Ye and A. P. Huang, “Sensitivity analysis of factors affecting stability of cut and fill multistage slope based on improved grey incidence model,” Soil Mech. Found Eng., 57(1), 8-17 (2020).

    Article  Google Scholar 

  19. J. H. Dong, Y. Zhang, and Y. P. Zhu, “Random seismic response and dynamic reliability analysis of frame with prestressed anchors for slope stability,” China J. Highw. Transp., 28(10), 26-33 (2015).

    Google Scholar 

  20. J. H. Dong, X. G. Dong, and Y. P. Zhu, “Reliability analysis on stability of slope reinforced by frame with pre-stress anchors under random earthquake action,” China J. Highw. Transp., 30(2), 41-47 (2017).

    Google Scholar 

  21. R. W. Clough and J. Penzien, Dynamics of Structure, 2th ed, Higher Education Press, Beijing (2006).

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, Lanzhou University of Technology, Lanzhou, China

    Shuai-hua Ye

  2. Key Laboratory of Disaster Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou, China

    Shuai-hua Ye

  3. Testing Center of Geotechnical Engineering and Foundation, Lanzhou University of Technology, Lanzhou, China

    Shuai-hua Ye

  4. Gansu CSCEC Municipal Engineering Investigation and Design Institute Co. Ltd., Gansu Lanzhou, China

    Yi-lei Shi

  5. CSCEC AECOM CONSULTANTS CO., LTD, Gansu Lanzhou, China

    Yi-lei Shi

Authors
  1. Shuai-hua Ye
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  2. Yi-lei Shi
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Correspondence to Shuai-hua Ye.

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Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 4, July-August, 2022.

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Ye, Sh., Shi, Yl. Reliability Analysis of Slope Reinforced by Anchors under Earthquake Action. Soil Mech Found Eng 59, 376–384 (2022). https://doi.org/10.1007/s11204-022-09825-4

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  • DOI: https://doi.org/10.1007/s11204-022-09825-4

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