Soil-Slope Stability considering Effect of Soil-Strength Nonlinearity
Publication: International Journal of Geomechanics
Volume 19, Issue 3
Abstract
To estimate the factor of safety of soil slopes, the discretization technique is widely used to generate the critical slip surface under the linear Mohr-Coulomb failure criterion. However, the strength envelope of almost all soils has the nature of nonlinearity. This study develops a novel approach to calculate the factor of safety of soil slopes when the soil strength follows the nonlinear yield criterion. First, the numerical simulation is used to obtain the magnitude and the coordinate of minor principal stress. Then, the equivalent strength parameters are calculated by combining with the nonlinear failure criterion. Finally, slip surface is generated by the discretization technique and the factor of safety is derived on the basis of the upper bound theorem. The elastic stress analysis method of numerical simulation is used to obtain the stress distribution, and its validity is demonstrated by comparing the results derived from the elastic stress analysis and those from the elastic-plastic stress analysis. To further show the validity of the proposed method, the presented results are compared with those using GEOSLOPE software, which is a limit equilibrium method, and with those of previously published results. Based on the comparisons, the proposed method is an effective technique to calculate the factor of safety of soil slope under the condition of nonlinear failure criterion. The examples indicate that the proposed method has potential applicability in obtaining the stability of slope in layered soils.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
Financial support was received from the Doctorial Innovation Foundation of Central South University (2016zzts062) for the preparation of this paper. This financial support is gratefully acknowledged.
References
Anyaegbunam, A. 2015. “Nonlinear power-type failure laws for geomaterials: Synthesis from triaxial data, properties, and applications.” Int. J. Geomech. 15 (1): 04014036. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000348.
Baker, R. 2003. “Inter-relations between experimental and computational aspects of slope stability analysis.” Int. J. Numer. Anal. Methods Geomech. 27 (5): 379–401. https://doi.org/10.1002/nag.277.
Baker, R. 2004. “Nonlinear Mohr envelopes based on triaxial data.” J. Geotech. Geoenviron. Eng. 130 (5): 498–506. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(498).
de Mello, V. B. F. 1977. “Reflections on design decisions of practical significance to embankment dams.” Géotechnique 27 (3): 281–354. https://doi.org/10.1680/geot.1977.27.3.281.
Drescher, A., and C. Christopoulos. 1988. “Limit analysis slope stability with nonlinear yield condition.” Int. J. Numer. Anal. Methods Geomech. 12 (3): 341–345. https://doi.org/10.1002/nag.1610120307.
Hoek, E., and E. T. Brown. 1997. “Practical estimates of rock mass strength.” Int. J. Rock Mech. Min. Sci. 34 (8): 1165–1186. https://doi.org/10.1016/S1365-1609(97)80069-X.
Huang, X. L., Z. G. Zhou, and X. L. Yang. 2018. “Roof failure of shallow tunnel based on simplified stochastic medium theory.” Geomech. Eng. 14 (6): 571–580.
Itasca Consulting Group, Inc. 2012. FLAC3D fast Lagrangian analysis of continua in 3 dimensions user’s guide. 5th ed. Minneapolis: Itasca Consulting Group, Inc.
Jiang, J. C., R. Baker, and T. Yamagami. 2003. “The effect of strength envelope nonlinearity on slope stability computations.” Can. Geotech. J. 40 (2): 308–325. https://doi.org/10.1139/t02-111.
Li, X. 2007. “Finite element analysis of slope stability using a nonlinear failure criterion.” Comput. Geotech. 34 (3): 127–136. https://doi.org/10.1016/j.compgeo.2006.11.005.
Maksimovic, M. 1989. “Nonlinear failure envelope for soils.” J. Geotech. Eng. 115 (4): 581–586. https://doi.org/10.1061/(ASCE)0733-9410(1989)115:4(581).
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. 2011a. “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.
Mollon, G., K. Phoon, D. Dias, and A. Soubra. 2011b. “Validation of a new 2D failure mechanism for the stability analysis of a pressurized tunnel face in a spatially varying sand.” J. Eng. Mech. 137 (1): 8–21. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000196.
Pan, Q., and D. Dias. 2016. “Face stability analysis for a shield-driven tunnel in anisotropic and nonhomogeneous soils by the kinematical approach.” Int. J. Geomech. 16 (3): 04015076. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000569.
Penman, D. M. 1953. “Shear characteristics of a saturated silt, measured in triaxial compression.” Géotechnique 3 (8): 312–328. https://doi.org/10.1680/geot.1953.3.8.312.
Qin, C. B., and S. C. Chian. 2018. “Bearing capacity analysis of a saturated non-uniform soil slope with discretization-based kinematic analysis.” Comput. Geotech. 96 (Apr): 246–257. https://doi.org/10.1016/j.compgeo.2017.11.003.
Xu, J., and X. Yang. 2018. “Seismic and static stability analysis for 3D reinforced slope in nonhomogeneous and anisotropic soils.” Int. J. Geomech. 18 (7): 04018065. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001177.
Yang, X. L. 2002. “Limit analysis method and its application to geotechnical engineering with linear and nonlinear failure criteria.” [In Chinese.] Ph.D. thesis, Central South Univ.
Yang, X. L., and Z. W. Li. 2018a. “Kinematical analysis of 3D passive earth pressure with nonlinear yield criterion.” Int. J. Numer. Anal. Methods Geomech. 42 (7): 916–930. https://doi.org/10.1002/nag.2771.
Yang, X. L., and Z. W. Li. 2018b. “Upper bound analysis of 3D static and seismic active earth pressure.” Soil Dyn. Earthquake Eng. 108 (May): 18–28. https://doi.org/10.1016/j.soildyn.2018.02.006.
Zhang, X. J., and W. F. Chen. 1987. “Stability analysis of slopes with general nonlinear failure criterion.” Int. J. Numer. Anal. Methods Geomech. 11 (1): 33–50. https://doi.org/10.1002/nag.1610110104.
Information & Authors
Information
Published In
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Jan 3, 2018
Accepted: Aug 30, 2018
Published online: Dec 26, 2018
Published in print: Mar 1, 2019
Discussion open until: May 26, 2019
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.