Unified Formulation for Analysis of Slopes with General Slip Surface
This article has a reply.
VIEW THE REPLYPublication: Journal of Geotechnical Engineering
Volume 120, Issue 7
Abstract
The general availability of computers has provided efficient means of assessing the stability of slopes using several analytical methods. However, the increased use of computers coupled with a lack of unified presentation of the various methods sometimes leads to conflicting results. It is shown that the current analytical methods can be grouped into three categories based on the hypotheses used to describe the internal forces, namely: (1) The direction of the internal forces; (2) the height of the line of thrust; and (3) the shape of the distribution function of the internal shear forces. An analytical framework incorporating this idea is presented to facilitate and unify slope stability analysis with general slip surfaces. The study is a generalization of earlier work performed by Espinoza et al. for circular slip surfaces. The framework incorporates most current methods of analysis. The analytical model is implemented in a computer program. The program was used to study several case examples. On this basis, key issues associated with the influence of the internal shear forces on the factor of safety, for both circular and general slip failure surfaces, are discussed. It appears that for circular failure surfaces, even with heterogeneous soil stratigraphy the factor of safety is not affected by the choice of a particular hypothesis. On the contrary, for general slip surfaces this choice may significantly affect the results.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bishop, A. W. (1955). “The use of the slip circle in stability analysis of slopes.” Geotechnique, London, England, 5(1), 7–17.
2.
Bishop, A. W., and Morgenstern, N. R. (1960). “Stability coefficients for earth slopes.” Geotechnique, London, England, 10(4), 129–150.
3.
Chen, Z. Y., and Morgenstern, N. R. (1983). “Extensions to the generalized method of slices for stability analysis.” Can. Geotech. J., 20, 104–119.
4.
Ching, R. K. H., and Fredlund, D. G. (1983). “Some difficulties associated with the limit equilibrium method of slices.” Can. Geotech. J., 20, 661–672.
5.
Correia, R. M. (1988). “A limit equilibrium method for slope stability analysis.” Proc., 5th Int. Symp. on Landslides, Lausanne, Switzerland, Vol. 1, 595–598.
6.
Duncan, J. M. (1992). “State‐of‐the‐art: static stability and deformation analysis.” Proc., ASCE Specialty Conf. on Stability and Performance of Slopes and Embankments. II: Geotech. Spec. Publ. No. 31, ASCE, New York, N.Y., Vol. 1, 222–266.
7.
Espinoza, R. D. (1986a). “Modelo general de análisis de estabilidad para superficies de falla circulares [general stability analysis model for circular failure surfaces],” bachelor's thesis, Pontificia Universidad Catolica del Peru, Lima, Peru (in Spanish).
8.
Espinoza, R. D. (1986b). “Procedimiento generalizado de analisis para superficies de falla no circulares [general stability analysis procedure for noncircular failure surfaces],” research thesis, Pontificia Universidad Catolica del Peru, Lima, Peru (in Spanish).
9.
Espinoza, R. D., Repetto, P. C., and Muhunthan, B. (1992a). “A general framework for slope stability analysis.” Geotechnique, London, England, 42(4), 603–615.
10.
Espinoza, R. D., Bourdeau, P. L., and Muhunthan, B. (1992b). “General purpose program for computerized slope stability analysis.” Proc., 28th Engrg. Geology and Geotech. Engrg. Symp., Boise, Idaho, 323–333.
11.
Fredlund, D. G., and Krahn, J. (1977). “Comparison of stability methods of analysis.” Can. Geotech. J., 14(3), 429–439.
12.
Fredlund, D. G., Krahn, J., and Pufahl, D. E. (1981). “The relationship between limit equilibrium slope stability methods.” Proc., 10th Conf. on Soil Mech. and Found. Engrg., Stockholm, Sweden, Vol. 3, 409–415.
13.
Fredlund, D. G., Zhang, Z. M., and Lam, L. (1992). “Effect of the axis of moment equilibrium in slope stability analysis.” Can. Geotech. J., 29(3), 456–465.
14.
Janbu, N. (1954). “Application of composite slip surface for stability analysis.” Proc., European Conf. on Stability of Earth Slopes, Sweden, Vol. 3, 43–49.
15.
Janbu, N., Bjerrum, L., and Kjaernsli, B. (1956). “Veiledning Ved losning av fundamenteringsoppgaver.” Publ. no. 16, Norwegian Geotechnical Institute, Norway (in Norwegian).
16.
Leshchinsky, D. (1990). “Slope stability analysis generalized approach.” J. Geotech. Engrg., ASCE, 116(5), 851–867.
17.
Li, K. S., and White, W. (1987). “Rapid evaluation of the critical slip surface in slope stability problems.” Int. J. for Numerical and Analytical Methods in Geomech., 11, 449–473.
18.
Lowe, J., III, and Karafiath, L. (1960). “Stability of earth dams upon drawdown.” Proc., 1st Panamerican Conf. on Soil Mech. and Found. Engrg., Mexico City, Mexico, Vol. 2, 537–552.
19.
Madej, J. S. (1971). “On the accuracy of simplified methods for the slope stability analysis.” Archiwun Hydrotechnik, 18, 581–594.
20.
Morgenstern, N. R., and Price, V. E. (1965). “The analysis of the stability of general slip surfaces.” Geotechnique, London, England, 70–93.
21.
Sarma, S. K. (1973). “Stability analysis of embankments and slopes.” Geotechnique,London, England, 23(3), 423–433.
22.
Sarma, S. K. (1979). “Stability analysis of embankments and slopes.” J. Geotech. Engrg. Div., ASCE, 105(2), 1511–1524.
23.
Spencer, E. (1967). “A method of analysis of the stability of embankments assuming parallel inter‐slice forces.” Geotechnique, London, England, 17(1), 11–26.
24.
Wright, S. G., Kulhawy, E. D., and Duncan, J. M. (1973). “Accuracy of equilibrium slope stability analysis.” J. Soil Mech. and Found. Div., ASCE, 99(10), 783–791.
25.
Whitman, R. V., and Baily, W. A. (1967). “Use of computers for slope stability analysis.” J. Soil Mech. and Found. Div., ASCE, 93(4), 475–497.
Information & Authors
Information
Published In
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: May 1, 1992
Published online: Jul 1, 1994
Published in print: Jul 1994
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.