Undrained Stability of Footings on Slopes

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.

[1]  John R Booker,et al.  SOME ADAPTATIONS OF CLASSICAL PLASTICITY THEORY FOR SOIL STABILITY PROBLEMS , 1973 .

[2]  P. de Buhan,et al.  THREE DIMENSIONAL BEARING CAPACITY ANALYSIS OF A FOUNDATION NEAR A SLOPE , 1998 .

[3]  Scott W. Sloan,et al.  Lower bound limit analysis using finite elements and linear programming , 1988 .

[4]  S. Sloan,et al.  Upper bound limit analysis using discontinuous velocity fields , 1995 .

[5]  H. J. Greenberg,et al.  EXTENDED LIMIT DESIGN THEOREMS FOR CONTINUOUS MEDIA , 1952 .

[6]  Wai-Fah Chen Limit Analysis and Soil Plasticity , 1975 .

[7]  Osamu Kusakabe,et al.  BEARING CAPACITY OF SLOPES UNDER STRIP LOADS ON THE TOP SURFACES , 1981 .

[8]  Radoslaw L. Michalowski,et al.  SLOPE STABILITY ANALYSIS: A KINEMATICAL APPROACH , 1995 .

[9]  Yu. K. Zaretskii,et al.  Stability of earth slopes , 1980 .

[10]  H. Fang,et al.  Stability of Earth Slopes , 1991 .

[11]  Scott W. Sloan,et al.  Lower bound limit analysis using non‐linear programming , 2002 .

[12]  Scott W. Sloan,et al.  A new discontinuous upper bound limit analysis formulation , 2005 .

[13]  Scott W. Sloan,et al.  Upper bound limit analysis using linear finite elements and non‐linear programming , 2001 .

[14]  Kunitomo Narita,et al.  BEARING CAPACITY ANALYSIS OF FOUDATIONS ON SLOPES BY USE OF LOG-SPIRAL SLIDING SURFACES , 1990 .

[15]  G. G. Meyerhof The Ultimate Bearing Capacity of Foudations , 1951 .

[16]  V. V. Sokolovskii,et al.  Statics of Granular Media , 1965 .

[17]  Jacques Garnier,et al.  Bearing capacity of foundations in slopes. , 1990 .

[18]  Andrei V. Lyamin,et al.  Bearing capacity of a sand layer on clay by finite element limit analysis , 2003 .

[19]  Scott W. Sloan,et al.  Upper bound limit analysis using finite elements and linear programming , 1989 .