Unified Slip Line Solution for Seismic Slope Stability in Cohesive-Frictional Soils Considering the Intermediate Principal Stress Effect
Publication: Geo-Congress 2024
ABSTRACT
Traditional methods for slope stability analysis usually do not consider the influence of the intermediate principal stress, though it has certain favorable impacts on the strength of geomaterials, such as soil and rock. Hence, this study presents the unified slip line solution for classical slope stability problems under seismic conditions. The analysis is conducted based on an integrated framework of the unified strength theory and the slip line approach. The unified strength theory incorporates the effect of the intermediate principal stress on slope stability by introducing a specified parameter, b. In contrast, the slip line theory precludes the need for any predefined slope geometry and slip surface in the analysis. Instead, the slope geometry required to sustain the stability with a prescribed factor of safety (FS) is derived for slopes in cohesive-frictional soils. In addition, the earthquake effect is captured using the pseudo-static approach. The slope profiles thus derived from the current formulation are found to have a reasonable morphological similitude with natural slopes. Additionally, the results indicate that the unified strength theory parameter b substantially affects the seismic slope stability. With an increase in b, the slope profiles are generally seen to form a steeper layout, revealing the fact that the potential strength of the slope medium is effectively utilized. Further, a rational comparison of the present results with the solutions available in the literature affirms the legitimacy of the proposed approach in providing practical design guidelines for optimal slope profiles and intimating the need for slope-strengthening measures to prevent any imminent slope failures in advance.
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REFERENCES
Choudhury, D., Basu, S., and Bray, J. D. (2007). “Behaviour of slopes under static and seismic conditions by limit equilibrium method.” Proc., Geo-Denver 2007: New Peaks in Geotechnics, ASCE, Reston, VA, 1–10.
Deng, L., Fan, W., and Yu, M. (2018). “Parametric study of a loess slope based on unified strength theory.” Eng. Geol., 233, 98–110.
Jeldes, I. A., Vence, N. E., and Drumm, E. C. (2015). “Approximate solution to the Sokolovskiĭ concave slope at limiting equilibrium.” Int. J. Geomech., 15(2), 04014049-1-8.
Liao, H., Ma, Z., and Su, L. (2008). “Calculation of the ultimate bearing capacity of soil slope based on the unified strength theory.” Int. J. Mod. Phys. B, 22(31 & 32), 5637–5642.
Ma, Z., Liao, H., and Yu, M. (2012). “Slope stability analysis using unified strength theory.” Appl. Mech. Mater., 137, 59–64.
Nandi, S., Santhoshkumar, G., and Ghosh, P. (2021). “Determination of critical slope face in c–ϕ soil under seismic condition using method of stress characteristics.” Int. J. Geomech., 21(4), 04021031-1-13.
Nandi, S., Santhoshkumar, G., and Ghosh, P. (2022). “Assessment of seismic stability of finite slope in c-ϕ soils - a plasticity approach.” Geomech. Eng., 31(5), 439–452.
O′Sullivan, C., Wadee, M. A., Hanley, K. J., and Barreto, D. (2013). “Use of DEM and elastic stability analysis to explain the influence of the intermediate principal stress on shear strength.” Géotechnique, 63(15), 1298–1309.
Peng, M. X., and Chen, J. (2013). “Slip-line solution to active earth pressure on retaining walls.” Géotechnique, 63(12), 1008–1019.
Sokolovski, V. V. (1960). Statics of soil media. Butterworths Scientific Publications, London.
Yao, C., and Yang, X. (2017). “Limit analysis of unsaturated soil slope stability considering intermediate principal stress and strength nonlinearity.” Geotech. Geol. Eng., 35(5), 2053–2063.
Yoshimine, M., Ishihara, K., and Vargas, W. (1998). “Effects of principal stress direction and intermediate principal stress on undrained shear behavior of sand.” Soils Found., 38, 179–188.
Yu, M. H. (2004). Unified strength theory and its applications. Springer, Berlin.
Zhang, B., and Sun, Q. (2023). “Upper bound analysis of the anti-seismic stability of slopes considering the effect of the intermediate principal stress.” Front. Earth Sci., 10, 1023883.
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Published online: Feb 22, 2024
ASCE Technical Topics:
- Earthquake engineering
- Engineering fundamentals
- Geomechanics
- Geotechnical engineering
- Seismic effects
- Seismic tests
- Slope stability
- Slopes
- Soil analysis
- Soil dynamics
- Soil mechanics
- Soil properties
- Soil stabilization
- Soil strength
- Stress (by type)
- Stress analysis
- Structural analysis
- Structural engineering
- Tests (by type)
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