Technical Papers
Nov 20, 2012

Stability Charts for 3D Failures of Homogeneous Slopes

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 139, Issue 9

Abstract

A three-dimensional (3D) kinematically admissible rotational failure mechanism is extended from toe failure to include face failure and base failure for homogeneous slopes in both purely cohesive and frictional/cohesive soils. In the strict framework of limit analysis, an analytical approach is derived to obtain the upper bounds on slope stability and the corresponding type of the critical failure mechanism. Compared with the available results from the finite-element limit-analysis method, the 3D rotational failure mechanisms give the best estimate on the upper bound. A set of stability charts is presented in a wide range of parameters for 3D homogeneous slopes under both static and pseudostatic seismic loading conditions. This set is useful in assessing the safety of the 3D homogeneous slopes in practical applications.

Get full access to this article

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

Acknowledgments

This study was sponsored by the National Natural Science Foundation of China (Grant Numbers 51278382 and 51278171), the Fundamental Research Funds for the Central Universities of China (Grant Nos. 2011B02814, 2013B05814, and 2013B01514), and the Qing Lan Project of Jiangsu Province of China.

References

Baker, R. (2003). “A second look at Taylor’s stability chart.” J. Geotech. Geoenviron. Eng., 129(12), 1102–1108.
Bell, J. M. (1966). “Dimensionless parameters for homogeneous earth slopes.” J. Soil Mech. and Found. Div., 92(5), 51–65.
Cavounidis, S. (1987). “On the ratio of factors of safety in slope stability analyses.” Geotechnique, 37(2), 207–210.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier Science, Amsterdam, Netherlands.
Chen, W. F., and Liu, X. L. (1990). Limit analysis in soil mechanics, Elsevier Science, Amsterdam, Netherlands.
Chen, Z. Y. (1992). “Random trials used in determining global minimum factors of safety of slopes.” J. Can. Geotech., 29(2), 225–233.
Gao, Y. F., Zhang, F., Lei, G. H., and Li, D. Y. (2012). “An extended limit analysis of three-dimensional slope stability.” Geotechnique, 63(6), 518–524.
Gens, A., Hutchinson, J. N., and Cavounidis, S. (1988). “Three-dimensional analysis of slides in cohesive soils.” Geotechnique, 38(1), 1–23.
Griffiths, D. V., and Marquez, R. M. (2007). “Three-dimensional slope stability analysis by elasto-plastic finite elements.” Geotechnique, 57(6), 537–546.
Janbu, N. (1968). “Slope stability computations.” Soil Mech. Found. Engrg. Rep., Technical Univ. of Norway, Trondheim, Norway.
Krabbenhoft, K., Lyamin, A. V., Hjiaj, M., and Sloan, S. W. (2005). “A new discontinuous upper bound limit analysis formulation.” Int. J. Numer. Methods Eng., 63(7), 1069–1088.
Li, A. J., Merifield, R. S., and Lyamin, A. V. (2009). “Limit analysis solutions for three dimensional undrained slopes.” Comput. Geotech., 36(8), 1330–1351.
Li, A. J., Merifield, R. S., and Lyamin, A. V. (2010). “Three-dimensional stability charts for slopes based on limit analysis methods.” J. Can. Geotech., 47(12), 1316–1334.
Loukidis, D., Bandini, P., and Salgado, R. (2003). “Stability of seismically loaded slopes using limit analysis.” Geotechnique, 53(5), 463–479.
Lyamin, A. V., and Sloan, S. W. (2002a). “Lower bound limit analysis using non-linear programming.” Int. J. Numer. Methods Eng., 55(5), 573–611.
Lyamin, A. V., and Sloan, S. W. (2002b). “Upper bound limit analysis using linear finite elements and non-linear programming.” Int. J. Numer. Anal. Methods Geomech., 26(2), 181–216.
Michalowski, R. L. (2002). “Stability charts for uniform slopes.” J. Geotech. Geoenviron. Eng., 128(4), 351–355.
Michalowski, R. L. (2010). “Limit analysis and stability charts for 3D slope failures.” J. Geotech. Geoenviron. Eng., 136(4), 583–593.
Michalowski, R. L., and Drescher, A. (2009). “Three-dimensional stability of slopes and excavations.” Geotechnique, 59(10), 839–850.
Michalowski, R. L., and Martel, T. (2011). “Stability charts for 3D failures of steep slopes subjected to seismic excitation.” J. Geotech. Geoenviron. Eng., 137(2), 183–189.
Michalowski, R. L., and You, L. Z. (2000). “Displacements of reinforced slopes subjected to seismic loads.” J. Geotech. Geoenviron. Eng., 126(8), 685–694.
Steward, T., Sivakugan, N., Shukla, S. K., and Das, B. M. (2011). “Taylor’s slope stability charts revisited.” J. Geotech. Eng., 11(4), 348–352.
Taylor, D. W. (1937). “Stability of earth slopes.” J. Boston Soc. Civil Eng., 24(3), 197–246.
Yu, H. S., Salgado, R., Sloan, S. W., and Kim, J. M. (1998). “Limit analysis versus limit equilibrium for slope stability.” J. Geotech. Geoenviron. Eng., 124(1), 1–11.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 139Issue 9September 2013
Pages: 1528 - 1538

History

Received: May 6, 2012
Accepted: Nov 16, 2012
Published online: Nov 20, 2012
Published in print: Sep 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

Professor, Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai Univ., No. 1, Nanjing 210098, China (corresponding author). E-mail: [email protected]
Ph.D. Student, Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai Univ., No. 1, Nanjing 210098, China. E-mail: [email protected]
Professor, Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai Univ., No. 1, Nanjing 210098, China. E-mail: [email protected]
Professor, Dept. of Civil Engineering, Shandong Univ. of Science and Technology, No. 579, Huangdao, Qingdao, 266510, China. E-mail: [email protected]
Ph.D. Student, Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai Univ., No. 1, Nanjing 210098, China. E-mail: [email protected]
Ph.D. Student, Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai Univ., No. 1, Nanjing 210098, China. E-mail: [email protected]

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