A generalized log-spiral-Rankine limit equilibrium model for seismic earth pressure analysis

Abstract A method of slices for estimating seismic earth pressures due to earthquake-induced pseudo-static body forces is presented herein. The method is based on a limit-equilibrium approach, and utilizes a composite logarithmic spiral failure surface along which the Mohr-Coulomb failure criterion is enforced. The model explicitly accounts for the magnitude of earthquake acceleration, the structure's height, the backfill soil properties (e.g., internal friction angle, and cohesion), and the mobilized interface friction angle between the backfill and the earth-retaining structure. Majority of the previous analytical (or semi-analytical) methods neglect the effects of soil's cohesion and/or use simple planar failure surfaces. Parametric studies conducted with the proposed method, as well as a number of prominent others indicate that the aforementioned simplifying assumptions often yield significantly different estimates of seismic earth pressures from the more general model proposed here, and that they may lead to sub-optimal or unsafe designs.

[1]  Rodrigo Salgado,et al.  Estimation of active earth pressure against rigid retaining walls considering arching effects , 2003 .

[2]  Robert M. Ebeling,et al.  Limit equilibrium computation of dynamic passive earth pressure , 1995 .

[3]  W. Rankine.  II. On the stability of loose earth , 1857, Philosophical Transactions of the Royal Society of London.

[4]  Bryan E. Little,et al.  American Association of State Highway and Transportation Officials. Highway Drainage Guidelines American Association of State Highway and Transportation Officials. LRFD Bridge Design Specifications , 2000 .

[5]  Delwyn G. Fredlund,et al.  Interslice force functions for computing active and passive earth force , 1999 .

[6]  Kyle M. Rollins,et al.  Nonlinear Soil-Abutment-Bridge Structure Interaction for Seismic Performance-Based Design , 2007 .

[7]  K. Terzaghi.  Theoretical Soil Mechanics , 1943 .

[8]  S. Kramer.  Geotechnical Earthquake Engineering , 1996 .

[9]  N. Sitar,et al.  Seismically Induced Lateral Earth Pressures on Retaining Structures and Basement Walls , 2012 .

[10]  Al Atik,et al.  Experimental and analytical evaluation of seismic earth pressures on cantilever retaining structures , 2008 .

[11]  Panos Kloukinas,et al.  An alternative to the Mononobe–Okabe equations for seismic earth pressures , 2007 .

[12]  A. Selvadurai,et al.  Elasticity and Geomechanics , 1996 .

[13]  Anoosh Shamsabadi,et al.  Bridge Abutment Nonlinear Force-Displacement-Capacity Prediction for Seismic Design , 2005 .

[14]  R Richards,et al.  SEISMIC LATERAL PRESSURES IN SOILS WITH COHESION , 1994 .

[15]  J. Salencon,et al.  Applications of the Theory of Plasticity in Soil Mechanics , 1978 .

[16]  Donald H. Shields,et al.  PASSIVE PRESSURE COEFFICIENTS BY METHOD OF SLICES , 1973 .

[17]  Jyant Kumar.  Seismic passive earth pressure coefficients for sands , 2001 .

[18]  Harianto Rahardjo,et al.  General limit equilibrium method for lateral earth force , 1984 .

[19]  A. Selvadurai,et al.  Plasticity and Geomechanics: Contents , 2002 .

[20]  J H Atkinson.  Foundations and slopes , 2018, Soil Mechanics.

[21]  Jonathan P. Stewart,et al.  Validated Simulation Models for Lateral Response of Bridge Abutments with Typical Backfills , 2010 .