Technical Papers
Sep 1, 2021

3D Discretized Rotational Failure Mechanism for Slope Stability Analysis

Publication: International Journal of Geomechanics
Volume 21, Issue 11

Abstract

The kinematical approach of limit analysis has been historically employed to assess slope stability in the geotechnical community, for which most three-dimensional (3D) failure mechanisms are generally based on a composite of multiple common geometrical bodies. Although these failure mechanisms are straightforward, they may not perform well for slopes that involve multilayered soils with heterogeneous shear strength parameters. This paper aims at proposing a new 3D failure mechanism for steep slopes using a spatial discretization technique. The proposed failure mechanism is composed of a large number of elemental blocks that are generated point by point obeying the kinematically admissible velocity field and the normality condition. The discretization scheme makes it possible to simplify the calculations of internal energy dissipations and external work rates on the failure mechanism when both the soil properties and external loadings are spatially changing. The performance of the proposed method is illustrated to examine the stability of steep slopes in homogeneous soils, multilayer soils, and spatially variable soils, showing good agreements with previously published results and numerical modelings.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This work was supported by the National Key R&D Program of China (2017YFB1201204).

References

Chen, G. H., J. F. Zou, Q. J. Pan, Z. H. Qian, and H. Y. Shi. 2020. “Earthquake-induced slope displacements in heterogeneous soils with tensile strength cut-off.” Comput. Geotech. 124: 103637. https://doi.org/10.1016/j.compgeo.2020.103637.
Chen, W. F. 1975. Limit analysis and soil plasticity. Amsterdam, Netherlands: Elsevier.
Chen, Z., X. Wang, C. Haberfield, J. H. Yin, and Y. Wang. 2001. “A three-dimensional slope stability analysis method using the upper bound theorem: Part I: Theory and methods.” Int. J. Rock Mech. Min. Sci. 38 (3): 369–378. https://doi.org/10.1016/S1365-1609(01)00012-0.
Durand, N., and J. M. Alliot. 1999. “A combined Nelder–Mead simplex and genetic algorithm.” In GECCO’99: Proc. Genetic and Evolutionary Computation Conf, 99: 1–7. Orlando, FL: Genetic and Evolutionary Computation Group.
El-Mihoub, T. A., A. A. Hopgood, L. Nolle, and A. Battersby. 2006. “Hybrid genetic algorithms: A review.” Eng. Lett. 13 (2): 124–137.
Fan, S. K. S., Y. C. Liang, and E. Zahara. 2006. “A genetic algorithm and a particle swarm optimizer hybridized with Nelder–Mead simplex search.” Comput. Ind. Eng. 50 (4): 401–425. https://doi.org/10.1016/j.cie.2005.01.022.
Farzaneh, O., and F. Askari. 2003. “Three-dimensional analysis of nonhomogeneous slopes.” J. Geotech. Geoenviron. Eng. 129 (2): 137–145. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:2(137).
Fenton, G. A., and D. V. Griffiths. 2008. Risk assessment in geotechnical engineering. New York: Wiley.
Gao, Y., S. Yang, F. Zhang, and B. Leshchinsky. 2016. “Three-dimensional reinforced slopes: Evaluation of required reinforcement strength and embedment length using limit analysis.” Geotext. Geomembr. 44 (2): 133–142. https://doi.org/10.1016/j.geotexmem.2015.07.007.
He, Y., Y. Liu, H. Hazarika, and R. Yuan. 2019. “Stability analysis of seismic slopes with tensile strength cut-off.” Comput. Geotech. 112: 245–256. https://doi.org/10.1016/j.compgeo.2019.04.029.
Huang, M., H. Wang, D. Sheng, and Y. Liu. 2013. “Rotational–translational mechanism for the upper bound stability analysis of slopes with weak interlayer.” Comput. Geotech. 53: 133–141. https://doi.org/10.1016/j.compgeo.2013.05.007.
Katzenbach, R., G. Bachmann, and C. Gutberlet. 2008. “Requirements on the application of numerical methods on ULS proofs in geotechnics.” In Proc., 12th Int. Conf. on International Association for Computer Methods and Advances in Geomechanics, 513–523. Goa, India: International Association for Computer Methods and Advances in Geomechanics.
Li, C., and P. Jiang. 2020. “Failure mechanism of two-layered slopes subjected to the surcharge load.” Int. J. Geomech. 20 (2): 06019024. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001579.
Michalowski, R. L. 1989. “Three-dimensional analysis of locally loaded slopes.” Géotechnique 39 (1): 27–38. https://doi.org/10.1680/geot.1989.39.1.27.
Michalowski, R. L., and A. Drescher. 2009. “Three-dimensional stability of slopes and excavations.” Géotechnique 59 (10): 839–850. https://doi.org/10.1680/geot.8.P.136.
Mollon, G., D. Dias, and A. H. Soubra. 2011. “Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield.” Int. J. Numer. Anal. Methods Geomech. 35 (12): 1363–1388. https://doi.org/10.1002/nag.962.
Pan, Q., and D. Dias. 2017. “Probabilistic evaluation of tunnel face stability in spatially random soils using sparse polynomial chaos expansion with global sensitivity analysis.” Acta Geotech. 12 (6): 1415–1429. https://doi.org/10.1007/s11440-017-0541-5.
Pan, Q., J. Xu, and D. Dias. 2017. “Three-dimensional stability of a slope subjected to seepage forces.” Int. J. Geomech. 17 (8): 04017035. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000913.
Phoon, K. K., and J. Ching. 2014. Risk and reliability in geotechnical engineering. Boca Raton, FL: CRC Press.
Qian, Z. H., J. F. Zou, Q. J. Pan, G. H. Chen, and S. X. Liu. 2020. “Discretization-based kinematical analysis of three-dimensional seismic active earth pressures under nonlinear failure criterion.” Comput. Geotech. 126: 103739. https://doi.org/10.1016/j.compgeo.2020.103739.
Qian, Z. H., J. F. Zou, Q. J. Pan, and D. Dias. 2019. “Safety factor calculations of a tunnel face reinforced with umbrella pipes: A comparison analysis.” Eng. Struct. 199: 109639. https://doi.org/10.1016/j.engstruct.2019.109639.
Qin, C., and S. C. Chian. 2018. “Bearing capacity analysis of a saturated non-uniform soil slope with discretization-based kinematic analysis.” Comput. Geotech. 96: 246–257. https://doi.org/10.1016/j.compgeo.2017.11.003.
Stark, T. D., and H. T. Eid. 1998. “Performance of three-dimensional slope stability methods in practice.” J. Geotech. Geoenviron. Eng. 124 (11): 1049–1060. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:11(1049).
Wang, L., B. Chen, and J. Li. 2019. “Three-dimensional seismic stability of unsaturated soil slopes using a semi-analytical method.” Comput. Geotech. 110: 296–307. https://doi.org/10.1016/j.compgeo.2019.02.008.
Xu, J. S., and X. L. Yang. 2018. “Three-dimensional stability analysis of slope in unsaturated soils considering strength nonlinearity under water drawdown.” Eng. Geol. 237: 102–115. https://doi.org/10.1016/j.enggeo.2018.02.010.
Youssef Abdel Massih, D. S., and A. H. Soubra. 2008. “Reliability-based analysis of strip footings using response surface methodology.” Int. J. Geomech. 8 (2): 134–143. https://doi.org/10.1061/(ASCE)1532-3641(2008)8:2(134).
Zhang, D., and B. Zhang. 2020. “Stability analysis of the pressurized 3D tunnel face in anisotropic and nonhomogeneous soils.” Int. J. Geomech. 20 (4): 04020018. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001635.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 21Issue 11November 2021

History

Received: Mar 27, 2020
Accepted: Jun 2, 2021
Published online: Sep 1, 2021
Published in print: Nov 1, 2021
Discussion open until: Feb 1, 2022

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Ph.D. Student, School of Civil Engineering, Central South Univ., No. 22, Shaoshan South Rd., Changsha, Hunan Province 410075, People’s Republic of China. ORCID: https://orcid.org/0000-0002-5333-0113.
Jin-Feng Zou
Professor, School of Civil Engineering, Central South Univ., No. 22, Shaoshan South Rd., Changsha, Hunan Province 410075, People’s Republic of China.
Professor, School of Civil Engineering, Central South Univ., No. 22, Shaoshan South Rd., Changsha, Hunan Province 410075, People’s Republic of China (corresponding author). ORCID: https://orcid.org/0000-0002-6864-828X. Email: [email protected]

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