Location of critical failure surface, convergence and other problems

2008 ◽  
pp. 99-155
Keyword(s):  
Failure Surface ◽  
Critical Failure Surface

scholarly journals An Extension of Taylor’s φ-Circle Method and Some Stability Charts for Submerged Slopes

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Ping Li ◽  
Luanhua Dong ◽  
Xiaowen Gao ◽  
Tonglu Li ◽  
Xiaokun Hou
Keyword(s):  
Analytical Solutions ◽  
Factor Of Safety ◽  
Classical Method ◽  
Circle Method ◽  
Failure Surface ◽  
Underground Water ◽  
Submerged Condition ◽  
Stability Calculation ◽  
Critical Failure Surface ◽  
Underground Water Table

Taylor’s φ-circle method is a classical method for slope stability calculation, which has analytical solutions. Taylor derived equations in two cases separately, namely, (i) the outlet of the critical failure surface is at the slope toe and (ii) the outlet of the failure surfaces is not at the slope toe. The method is only appropriate for two conditions (without underground water table in slopes or totally submerged slopes). In this study, a general equation that unifies the equations of the two cases is proposed and partially submerged condition is introduced. The critical failure surfaces corresponding to the minimum factor of safety are determined using the computer program proposed by the authors. The general expression of the safety factor of slopes under the following four conditions is derived, namely, (i) partly submerged, (ii) completely submerged, (iii) water sudden drawdown, and (iv) water slow drawdown. The corresponding charts for practical use are available.

Influence of the groundwater on the stability of a clay bank in Baie James, Québec

1985 ◽  
Vol 22 (3) ◽  
pp. 409-413
Author(s):  
Peter Rosenberg ◽  
Jacques Provençal ◽  
Guy Lefebvre ◽  
J.-Jacques Paré
Keyword(s):  
Pore Pressure ◽  
Factor Of Safety ◽  
Field Measurements ◽  
Failure Surface ◽  
Surface Failure ◽  
Failure Morphology ◽  
Critical Failure Surface ◽  
Groundwater Regime ◽  
The Stability ◽  
River Banks

The Rivière Broadback in northern Québec flows westward almost parallel to latitude 51 °N to discharge into Baie James at its southern end. Near the estuary the river banks are in clay. Surveys of the landsliding activity showed that many of the slides are superficial, with depths seldom greater than about 2 m, and are usually in the clay crust.Instrumentation revealed regional groundwater pattern close to the river banks that showed areas varying from those with significant underdrainage to those with hydrostatic pressure conditions. The stability of 26 m high river slopes inclined at 27° in an area of underdrainage was investigated.Triaxial testing on undisturbed tube samples was used to obtain the postpeak parameters. Stability analyses gave a factor of safety close to one for shallow failure surfaces. With underdrainage, the factor of safety for deep failure surfaces is appreciably higher. When hydrostatic pore pressure conditions are assumed, analysis gave a factor of safety for deep failure that was reduced by about 30%.The results of the analyses emphasize the relation between the morphology of the landslide activity and the groundwater regime. With underdrainage, effective stresses increase much faster with depth and the critical failure surface is always close to the surface, as confirmed by field observations. Key words: natural slope, clay, pore pressure, field measurements, stability failure surface, failure morphology.

scholarly journals Optimization of sensors locations in internal stability analysis of Geosynthetic-reinforced earth retaining walls

2019 ◽  
Vol 295 ◽  
pp. 03001
Author(s):  
Hicham Alhajj Chehade ◽  
Marwan Sadek ◽  
Daniel Dias ◽  
Fadi Hage Chehade ◽  
Jenck Orianne
Keyword(s):  
Stability Analysis ◽  
Failure Surface ◽  
Retaining Walls ◽  
Internal Stability ◽  
Knowing That ◽  
Reinforced Earth ◽  
Critical Failure Surface ◽  
Internal Forces ◽  
Surface Location ◽  
Kinematic Theorem

This paper concerns the optimization of sensors locations used to monitor the geosynthetic reinforcement internal forces of a reinforced earth retaining walls. The internal stability analysis of these structures is addressed through the kinematic theorem of limit analysis combined with the discretization technique to generate the failure surface. Knowing that the majority of damages of these structures are caused by the water presence in the reinforced zone, different water table levels are considered in the study and their effects on the critical failure surface location are analyzed.

Numerical Study of Optimal Location of Non-Circular Segmented Failure Surface in Soil Slope With Weak Soil Layer

2021 ◽  
Vol 12 (1) ◽  
pp. 111-141
Author(s):  
Navneet Himanshu ◽  
Avijit Burman ◽  
Vinay Kumar
Keyword(s):  
Numerical Study ◽  
Soil Layer ◽  
Failure Surface ◽  
Detailed Comparison ◽  
Global Optimum ◽  
Weak Soil ◽  
Critical Failure Surface ◽  
Potential Failure ◽  
Swarm Size ◽  
Contemporary Standard

The article addresses stability analysis of complicated slopes having weak soil layer sandwiched between two strong layers. The search for critical failure surface and associated optimum/minimum factor of safety (FOS) among all potential failure surfaces can be posed as an optimization problem. Two different variants of particle swarm optimization (PSO) models, namely inertia weight-based PSO (IW-PSO) and contemporary standard PSO (CS-PSO), are used to obtain optimum global solution. Detailed comparison between the global optimum solutions obtained from two PSO variants and the effect of swarm size is studied. The performance of IW-PSO and CS-PSO are studied by observing the convergence behavior of the respective algorithms with respect to iteration count. The influence of velocity clamping on the optimized solution is investigated and its use is found beneficial as it prevents the solution from overflying the region with global best solution. The studies related to swarm diversity demonstrating the exploitation and exploration behaviors of the algorithms are also presented.

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