Undrained Stability of Footings on Slopes
Publication: International Journal of Geomechanics
Volume 11, Issue 5
Abstract
Solutions for the ultimate bearing capacity of footings on purely cohesive slopes are obtained by applying finite element upper and lower bound methods. In a footing-on-slope system, the ultimate bearing capacity of the footing may be governed by either foundation failure or global slope failure. The combination of these two factors makes the problem difficult to solve using traditional methods. The importance of a dimensionless strength ratio in determining the footing capacity is broadly discussed, and design charts are presented for a wide range of parameters. In addition, the effect of footing roughness and surface surcharge are briefly quantified.
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References
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier, Amsterdam, Netherlands.
Davis, E. H., and Booker, J. R. (1973). “Some adaptations of classical plasticity theory for soil stability problems.” Proc. Symp. Role of Plasticity in Soil Mechanics, A. C. Palmer, ed., Cambridge University, Cambridge, UK, 24–41.
de Buhan, P., and Garnier, D. (1994). “Analysis of the bearing capacity reduction of a foundation near a slope by means of the yield design theory.” Revue Française de Géotechnique, 68, 21–32 (in French).
de Buhan, P., and Garnier, D. (1998). “Three dimensional bearing capacity analysis of a foundation near a slope.” Soils Found., 38(3), 153–163.
Drucker, D. C., Greenberg, W., and Prager, W. (1952). “Extended limit design theorems for continuous media.” Q. Appl. Math., 9, 381–389.
Kusakabe, O., Kimura, T., and Yamaguchi, H. (1981). “Bearing capacity of slopes under strip loads on the top surface.” Soils Found., 21(4), 29–40.
Krabbenhøft, 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, 1069–1088.
Lyamin, A. V. (1999). “Three-dimensional lower bound limit analysis using nonlinear programming.” Ph.D. Thesis, Univ. of Newcastle, Australia.
Lyamin, A. V., and Sloan, S. W. (2002a). “Lower bound limit analysis using non-linear programming.” Int. J. Numer. Methods Eng., 55, 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, 181–216.
Meyerhof, G. G. (1957). “The ultimate bearing capacity of foundations on slopes.” Proc., 4th Int. Conf. on Soil Mechanics and Foundation Engineering, 1, 384–386.
Michalowski, R. L. (1995). “Slope stability analysis: a kinematical approach.” Geotechnique, 45(2), 283–293.
Narita, K., and Yamaguchi, H. (1990). “Bearing capacity analysis of foundations on slopes by using log-spiral sliding surfaces.” Soils Found., 30(3), 144–152.
Shiau, J. S., Lyamin, A. V., and Sloan, S. W. (2003). “Bearing capacity of a sand layer on clay by finite element limit analysis” Can. Geotech. J., 40, 900–915.
Shields, D., Chandler, N., and Garnier, J. (1990). “Bearing capacity of foundations in slopes” J. Geotech. Eng., 116(3), 528–537.
Sloan, S. W. (1988). “Lower bound limit analysis using finite elements and linear programming.” Int. J. Numer. Anal. Methods Geomech., 12, 61–67.
Sloan, S. W. (1989). “Upper bound limit analysis using finite elements and linear programming.” Int. J. Numer. Anal. Methods Geomech., 13, 263–282.
Sloan, S. W., and Kleeman, P. W. (1995). “Upper bound limit analysis using discontinuous velocity fields.” Comput. Methods Appl. Mech. Eng., 127, 293–314.
Sokolovski, V. V. (1960). Statics of granular media, Butterworth Scientific Publications, London.
Taylor, D. W. (1937). “Stability of Earth Slopes.” J. Boston Soc. Civ. Eng., 24(3), July, 197–247,
reprinted in Contributions to Soil Mechanics 1925-1940(1940), Boston Society of Civil Engineers, 337–386.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 11 • Issue 5 • October 2011
Pages: 381 - 390
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Mar 1, 2010
Accepted: Sep 8, 2010
Published online: Sep 15, 2011
Published in print: Oct 1, 2011
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