Stability Charts for 3D Failures of Steep Slopes Subjected to Seismic Excitation
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 137, Issue 2
Abstract
Design of slopes and analysis of existing slopes subjected to seismic shaking are carried out routinely using approximations of plane strain and substitution of a quasi-static load for the seismic excitation. A three-dimensional (3D) analysis of slopes is carried out, based on the kinematic theorem of limit analysis. A rotational failure mechanism is used with the failure surface in the shape of a curvilinear cone sector passing through the slope toe, typical of steep slopes. A quasi-static approach is used to develop stability charts allowing assessment of the factor of safety of slopes without the need for an iterative procedure. The charts are of practical importance in cases of excavation slopes and whenever a slope is physically constrained, preventing a plane failure.
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Acknowledgments
The work presented in this note was carried out while both writers were supported by the National Science Foundation, Grant No. NSFCMMI-0724022, and the senior writer was also supported by the Army Research Office, Grant No. USAROW911NF-08-1-0376. This support is greatly appreciated.
References
Baligh, M. M., and Azzouz, A. S. (1975). “End effects on stability of cohesive slopes.” J. Geotech. Engrg. Div., 101(11), 1105–1117.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier, Rotterdam, The Netherlands.
Chen, W. F., Giger, M. W., and Fang, H. Y. (1969). “Limit analysis of stability of slopes.” Soils Found., 9(4), 23–32.
Chen, W. F., and Liu, X. L. (1990). Limit analysis in soil mechanics, Elsevier Science, Amsterdam, The Netherlands.
de Buhan, P., and Garnier, D. (1998). “Three dimensional bearing capacity analysis of a foundation near a slope.” Soils Found., 38(3), 153–163.
Drescher, A. (1983). “Limit plasticity approach to piping in bins.” J. Appl. Mech., 50, 549–553.
Drucker, D. C., and Prager, W. (1952). “Soil mechanics and plastic analysis or limit design.” Q. Appl. Math., 10(2), 157–165.
Drucker, D. C., Prager, W., and Greenberg, H. J. (1952). “Extended limit design theorems for continuous media.” Q. Appl. Math., 9, 381–389.
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 Lane, P. A. (1999). “Slope stability analysis by finite elements.” Geotechnique, 49(3), 387–403.
Griffiths, D. V., and Marquez, R. M. (2007). “Three-dimensional slope stability analysis by elasto-plastic finite elements.” Geotechnique, 57(6), 537–546.
Hungr, O. (1987). “Extension of Bishop’s simplified method of slope stability analysis to three dimensions.” Geotechnique, 37(1), 113–117.
Lane, P. A., and Griffiths, D. V. (1997). “Finite element slope stability analysis—Why are engineers still drawing circles?” Proc., 6th Int. Symp. on Numerical Models in Geomechanics (NUMOG VI), Balkema, Rotterdam, The Netherlands, 589–593.
Michalowski, R. L. (1989). “Three-dimensional analysis of locally loaded slopes.” Geotechnique, 39(1), 27–38.
Michalowski, R. L. (2001). “Upper-bound load estimates on square and rectangular footings.” Geotechnique, 51(9), 787–798.
Michalowski, R. L. (2002). “Stability charts for uniform slopes.” J. Geotech. Geoenviron. Eng., 128(4), 351–355.
Michalowski, R. L. (2009). “Critical pool level and stability of slopes in granular soils.” J. Geotech. Geoenviron. Eng., 135(3), 444–448.
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 You, L. (2000). “Displacement of reinforced slopes subjected to seismic loads.” J. Geotech. Geoenviron. Eng., 126(8), 685–694.
Taylor, D. W. (1937). “Stability of earth slopes.” J. Boston Soc. Civ. Eng., 24(3), 197–246, reprinted in Contributions to Soil Mechanics 1925 to 1940, Boston Society of Civil Engineers, Boston 1963, 337–386.
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© 2011 ASCE.
History
Received: Jan 17, 2010
Accepted: Jul 9, 2010
Published online: Jan 14, 2011
Published in print: Feb 2011
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