A three-dimensional slope stability analysis method using the upper bound theorem Part II: numerical approaches, applications and extensions

Chen, Zuyu; Wang, Jian; Wang, Yujie; Yin, Jianhua; Haberfield, C M

doi:10.1016/s1365-1609(01)00013-2

Cited by 85 publications

(42 citation statements)

References 18 publications

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“…Hence it is not easy to obtain the lower bound solutions for a practical slope problem. In the upper bound approach, the kinematically admissible velocity fields are constructed by a rigid element which makes the limit analysis of slope stability suitable for complex conditions such as slopes with complex geometries, profiles, groundwater conditions and complicated loadings [8][9][10]. However, rigid finite elements, linear finite elements, non linear programming or special sequential quadratic programming algorithm has also been used to obtain the optimal upper bound solution for structures and geotechnical problems [11].…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Nailed Soil Slope Using Limit Equilibrium and Finite Element Methods

Rawat

Gupta

2016

Int. J. of Geosynth. and Ground Eng.

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This paper aims at the two most common methods used for slope stability analysis. An attempt has been made to bring out the differences in results of reinforced slope stability analysis obtained from SLOPE/W (limit equilibrium based) and PLAXIS 2D (finite element based). The analysis is carried out on two slope angles of 45°and 60°, which are reinforced with nails at three different inclinations of 0°, 15°and 30°respectively. Both the slope angles and all nail inclinations are taken from the horizontal. A comparative study on stability parameters such as factor of safety, critical slip surfaces and nail forces has been carried out. The limit equilibrium method is found to yield higher values of factor of safety in comparison to finite element method. The failure surfaces from both methods are found to vary significantly. Large nail forces are observed by limit equilibrium method for 45°slope with all nail inclinations, whereas for 60°slope angle, finite element method shows an increase in the nail forces. The effect of other parameters like bond length in limit equilibrium, soil-nail interaction and bending stiffness in finite element are also studied.

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Section: Introductionmentioning

confidence: 99%

Analysis of a Nailed Soil Slope Using Limit Equilibrium and Finite Element Methods

Rawat

Gupta

2016

Int. J. of Geosynth. and Ground Eng.

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“…First of all, the widespread utilization of infinite slope stability analysis limits a reliable application of these models to shallow landslides on open slopes, even if landslides frequently develop in convergent topographies where a contribution of lateral strength can be relevant (Hungr, 1987;Lam and Fredlund, 1993;Stark and Eid, 1998;Chen et al, 2001;Ohlmacher, 2007). Today, only a few attempts have been done for the application of 3D stability analysis at large-scales, allowing to model deeper rotational landslides (Xie et al, 2003).…”

Section: Future Research Directionsmentioning

confidence: 99%

Rainfall‐induced landslides and debris flows

Crosta

Frattini

2007

Hydrological Processes

132

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Abstract:In this preface we introduce the special issue on rainfall-induced landslides and debris flows. The topic is of high interest for many practical and scientific reasons. In fact, rainfall is the most relevant factor for the triggering of both shallow and deep-seated landslides, and rainfall analysis is the most frequently adopted approach for forecasting the occurrence of such phenomena. The six papers of the special issue cover most of the key issues relative to rainfall-induced landslides. Starting from the analysis of these contributions, we identify and discuss, in this paper, several main topics that deserve further research in the field of rainfall-induced landslide, such as the uncertainty of the data, the quality of geotechnical analysis, the validation of the models, and the applicability of results in the framework of natural hazards.

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“…2.5D and 3D slip surface models have been applied either for model testing (e.g . Hovland 1979;Hungr 1988;Lam and Fredlund 1993;Xie et al 2003;Mergili et al 2014a) or for particular case studies (Seed et al 1990;Chen et al 2001;Chen et al 2003;Jia et al 2012;Mergili et al 2014b).…”

Section: Introductionmentioning

confidence: 99%

Integration of root systems into a GIS-based slip surface model: computational experiments in a generic hillslope environment

Schmaltz

Mergili

2018

Landslides

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Integration of root systems into a GIS-based slip surface model: computational experiments in a generic hillslope environment Abstract Root systems of trees reinforce the underlying soil in hillslope environments and therefore potentially increase slope stability. So far, the influence of root systems is disregarded in Geographic Information System (GIS) models that calculate slope stability along distinct failure plane. In this study, we analyse the impact of different root system compositions and densities on slope stability conditions computed by a GIS-based slip surface model. We apply the 2.5D slip surface model r.slope.stability to 23 root system scenarios imposed on pyramidoid-shaped elements of a generic landscape. Shallow, taproot and mixed root systems are approximated by paraboloids and different stand and patch densities are considered. The slope failure probability (P f ) is derived for each raster cell of the generic landscape, considering the reinforcement through root cohesion. Average and standard deviation of P f are analysed for each scenario. As expected, the r.slope.stability yields the highest values of P f for the scenario without roots. In contrast, homogeneous stands with taproot or mixed root systems yield the lowest values of P f . P f generally decreases with increasing stand density, whereby stand density appears to exert a more pronounced influence on P f than patch density. For patchy stands, P f increases with a decreasing size of the tested slip surfaces. The patterns yielded by the computational experiments are largely in line with the results of previous studies. This approach provides an innovative and simple strategy to approximate the additional cohesion supplied by root systems and thereby considers various compositions of forest stands in 2.5D slip surface models. Our findings will be useful for developing strategies towards appropriately parameterising root reinforcement in real-world slope stability modelling campaigns.

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A three-dimensional slope stability analysis method using the upper bound theorem Part II: numerical approaches, applications and extensions

Cited by 85 publications

References 18 publications

Analysis of a Nailed Soil Slope Using Limit Equilibrium and Finite Element Methods

Analysis of a Nailed Soil Slope Using Limit Equilibrium and Finite Element Methods

Rainfall‐induced landslides and debris flows

Integration of root systems into a GIS-based slip surface model: computational experiments in a generic hillslope environment

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