|تعداد مشاهده مقاله||103,520,412|
|تعداد دریافت فایل اصل مقاله||81,440,792|
Bearing Capacity of Strip Footings near Slopes Using Lower Bound Limit Analysis
|Civil Engineering Infrastructures Journal|
|مقاله 7، دوره 47، شماره 1، شهریور 2014، صفحه 89-109 اصل مقاله (1018.37 K)|
|نوع مقاله: Research Papers|
|شناسه دیجیتال (DOI): 10.7508/ceij.2014.01.007|
|Javad Mofidi rouchi1؛ Orang Farzaneh2؛ Faradjollah Askari 3|
|1M.Sc student, School of Civil Engineering, University College of Engineering, University of Tehran, Tehran, Iran.|
|2Assistant Professor, School of Civil Engineering, University College of Engineering, University of Tehran, Tehran, Iran.|
|3Assistant Professor, International Institute of Earthquake Engineering and Seismology, Tehran, Iran.|
|Stability of foundations near slopes is one of the important and complicated problems in geotechnical engineering, which has been investigated by various methods such as limit equilibrium, limit analysis, slip-line, finite element and discrete element. The complexity of this problem is resulted from the combination of two probable failures: foundation failure and overall slope failure. The current paper describes a lower bound solution for estimation of bearing capacity of strip footings near slopes. The solution is based on the finite element formulation and linear programming technique, which lead to a collapse load throughout a statically admissible stress field. Three-nodded triangular stress elements are used for meshing the domain of the problem, and stress discontinuities occur at common edges of adjacent elements. The Mohr-Coulomb yield function and an associated flow rule are adopted for the soil behavior. In this paper, the average limit pressure of strip footings, which are adjacent to slopes, is considered as a function of dimensionless parameters affecting the stability of the footing-on-slope system. These parameters, particularly the friction angle of the soil, are investigated separately and relevant charts are presented consequently. The results are compared to some other solutions that are available in the literature in order to verify the suitability of the methodology used in this research.|
|Finite Element Method؛ Limit Analysis؛ Lower Bound؛ Slope؛ Strip Footing|
Azzouz, A.S. and Baligh, M.M. (1983). “Loaded areas on cohesive slopes”, Journal of Geotechnical Engineering, 109(5), 724–729.
Castelli, F. and Motta, E. (2008). “Bearing capacity of shallow foundations near slopes: Static analysis”, Proceedings of the Second International British Geotechnical Association Conference on Foundations, ICOF 2008, HIS BRE Press, Watford, U.K., 1651–1660.
Davis, E.H. and Booker, J.R. (1973). “Some adaptations of classical plasticity theory for soil stability problems”, Proceedings of the Symposium on the 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 of a foundation near a slope”, Soils Foundation, 38(3), 153–163.
Drucker, D.C., Greenberg, W. and Prager, W. (1952). “Extended limit design theorems for continuous media”, Quarterly of Applied Mathematics, 9, 381–389.
Farzaneh, O., Askari, F. and Ganjian, N. (2008). “Three dimensional stability analysis of convex slopes in plan view”, ASCE, Journal of Geotechnical andGeoenvironmental Engineering, 134(8), 1192-1200.
Georgiadis, K. (2010). “Undrained bearing capacity of strip footings on slopes”, ASCE, International journal of Geotechnical and Geoenvironmental Engineering, 136(5), 677-685.
Hansen, J.B. (1961). “A general formula for bearing capacity”, Bulletin 11, Danish Geotechnical Institute, Copenhagen, Denmark, 38–46.
Krabbenhoft, K., Lyamin, A.V., Hjiaj, M. and Sloan, S.W. (2005). “A new discontinuous upper bound limit analysis formulation”, International Journal for Numerical Methods in Engineering, 63(7), 1069–1088.
Kusakabe, O., Kimura, T. and Yamaguchi, H. (1981). “Bearing capacity of slopes under strip loads on the top surface”, Soils Foundation, 21(4), 29–40.
Lyamin, A.V. (1999). “Three-dimensional lower bound limit analysis using nonlinear programming”, Ph.D. Thesis, University of Newcastle, Australia.
Lyamin, A.V. and Sloan, S.W. (2002a). “Lower bound limit analysis using non-linear programming”, International Journal for Numerical Methods in Engineering, 55(5), 573–611.
Lyamin, A.V. and Sloan, S.W. (2002b). “Upper bound limit analysis using linear finite elements and non-linear programming”, International Journal for Numerical and Analytical Methods in Geomechanics, 26(2), 181–216.
Lyamin, A.V., and Sloan, S.W. (2003). “Mesh generation for lower bound limit analysis”, Elsevier Science, International Journal for Advances in Engineering Software, 34(6), 321–338.
Lysmer, J. (1970). “Limit analysis of plane problems in soil mechanics”, J. Soil Mechanics Foundation Division, ASCE, 96 (SM4), 1311-1334.
Meyerhof, G.G. (1957). “The ultimate bearing capacity of foundations on slopes”, The Proceedings of the Fourth International Conference on Soil Mechanics and Foundation Engineering, London, 384–386.
Michalowski, R.L. (1989). “Three-dimensional analysis of locally loaded slopes”, Géotechnique, 39(1), 27–38.
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 use of log-spiral sliding surfaces”, Soils Foundation, 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”, Canadian Geotechnical Journal, 40(5), 900–915.
Shiau, J.S., Merifield, R.S., Lyamin, A.V. and Sloan, S.W. (2011). “Undrained stability of footings on slopes”, ASCE, International Journal of Geomechanics, 11(5), 381-390.
Sloan, S.W. (1988). “Lower bound limit analysis using finite elements and linear programming”, International Journal for Numerical and Analytical Methods in Geomechanics, 12(1), 61–67.
Sloan, S.W. (1989). “Upper bound limit analysis using finite elements and linear programming”, International Journal of Numerical and Analytical Methods in Geomechanics, 13(3), 263–282.
Sloan, S.W. and Kleeman, P.W. (1995). “Upper bound limit analysis using discontinuous velocity fields”, Computer Methods in Applied Mechanics and Engineering, 127(1-4), 293–314.
Sokolovski, V.V. (1960). Statics of granular media, Butterworth Scientific Publications, London.
Taylor, D.W. (1937). “Stability of earth slopes”, Journal of the Boston Society of Civil Engineers, 24(3), 197–247.
Vesic, A.S. (1975). Bearing capacity of shallow foundation, Foundation engineering handbook, H.F. Winterkorn, and H.Y. Fang, (eds.), Van Nostrand Reinhold, New York.
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