TECHNICAL PAPERS
Oct 1, 1992

Generalized Slope Stability Analysis: Interpretation, Modification, and Comparison

Publication: Journal of Geotechnical Engineering
Volume 118, Issue 10

Abstract

The results of a generalized variational slope stability analysis, which is rigorous in the framework of limit equilibrium, are presented. To alleviate possible intimidation due to the abstract nature of the variational analysis, interpretation is provided showing this analysis to be equivalent, in principle, to traditional rigorous limit equilibrium methods. The variational approach, however, is more efficient in the sense that no guessing of a force‐related function is needed to obtain a statically determinate problem, nor is it necessary to assess the results for static reasonableness. Consequently, its application is simpler than other rigorous methods. A simple yet efficient numerical scheme, requiring the solution of only three simultaneous nonlinear equations, is illustrated. All the algorithms necessary to assemble a computer program are explicitly given. Several complex problems are analyzed, comparing the results with the predictions of the Morgenstern‐Price and Janbu methods. This comparative study indicates the applicability of the variational analysis, suggesting it is on par with other rigorous methods.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Baker, R. (1981). “Tensile strength, tension cracks and stability o slope.” Soils Found, Japanese Society of Soil Mech. and Foundations Engrg.21(2), 1–17.
2.
Baker, R., and Garber, M. (1977). “Variational approach to slope stability.” Proc. 9th Int. Conf. on Soil Mechanics and Foundation Engrg., Vol. 2, Int. Socieity of Soil Mechanics and Foundation Engineering, 9–12.
3.
Baker, R., and Garber, M. (1978). “Theoretical analysis of the stability of slopes.” Geotechnique, 28(4), 395–411.
4.
Chen, Z.‐Y., and Morgenstern, N. R. (1983). “Extensions to the generalized method of slices for stability analysis.” Can. Geotechn. J., 20(1), 104–119.
5.
Chen, Z.‐Y., and Shao, C.‐M. (1988). “Evaluation of minimum factor of safety in slope stability analysis.” Can. Geotech. J., 25(4), 735–748.
6.
Chowdhury, S. (1992). “Generalized slope stability analysis,” Masters thesis, University of Delaware, Newark, Del.
7.
De Jong De Josselin, G. (1980). “Application of the calculus of variations to the vertical cut‐off in cohesive frictionless soil.” Geotechnique, 30(1), 1–16.
8.
De Jong De Josselin, G. (1981). “A variational fallacy.” Geotechnique, 31(2), 289–290.
9.
Fredlund, D. G., and Krahn, J. (1977). “Comparison of slope stability methods of analysis.” Can. Geotech. J., 14(3), 429–439.
10.
Garber, M., and Baker, R. (1979). “Extreme‐value problems of limiting equilibrium.” J. Geotech. Engrg. Div., ASCE, 105(10), 1155–1171.
11.
Janbu, N. (1973). “Slope stability computations.” Embarkment dam engineering, Casagrande Vol., John Wiley & Sons, New York, N.Y., 47–86.
12.
Kopacsy, J. (1957). “Three‐dimensional stress distribution and slip surface in earth works at rupture.” proc. 4th Int. Conf. on soil Mechanics and Foundation Engrg., London, U.K., 1, 339–342.
13.
Leshchinsky, D. (1990). “Slope stability analysis: Generalized approach.” J. Geotech. Engrg., ASCE, 116(5), 851–867.
14.
Leshchinsky, D., and Smith, D. S. (1989). “Deep‐seated failure of granular embankment over clay: Stability analysis.” Soils Found, Japanese Society of Soil Mechanics and Foundation Engrg., 29(3), 105–114.
15.
Morgenstern. N. R., and Price, V. E. (1965). “The analysis of stability of general slip surfaces.” Geotechnique, 15(1), 79–93.
16.
Spencer, E. (1967). “A method of analysis of the stability of embankments assuming parallel inter‐slice forces.” Geotechnique, 17(1), 11–26.
17.
Taylor, D. W. (1948). Fundamentals of soil mechanics. John Wiley & Sons, New York, N.Y.

Information & Authors

Information

Published In

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 118Issue 10October 1992
Pages: 1559 - 1576

History

Published online: Oct 1, 1992
Published in print: Oct 1992

Permissions

Request permissions for this article.

Authors

Affiliations

Dov Leshchinsky, Member, ASCE
Assoc. Prof. of Civ. Engrg., Univ. of Delaware, Newark, DE 19716
Ching‐Chuan Huang
Assoc. Prof., Dept. of Civ. Engrg., Cheng‐Kung Univ., Tainan, Taiwan; formerly Postdoctorate Fellow, Dept. of Civ. Engrg., Univ. of Delaware, Newark, DE

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share