Factor of safety in limit analysis of slopes

Florkiewicz, Antoni; Kubzdela, Albert

doi:10.12989/gae.2013.5.5.485

Cited by 6 publications

(4 citation statements)

References 5 publications

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“…The limit state analysis presented in this paper can be used to solve many other geotechnical engineering problems, for example, the stability of slopes and reinforced walls or the bearing capacity of pile foundations (Florkiewicz 1989, Florkiewicz andKubzdela 2013).…”

Section: Discussionmentioning

confidence: 99%

“…The yield criteria described in the preceding sections can be applied to solving various geotechnical design problems related to cracked or layered geomaterials (Florkiewicz 1989;Florkiewicz and Mroz 1989, Florkiewicz 2013, Florkiewicz and Kubzdela 2013. For example, let us consider a strip foundation on a cracked stratum with both isotropic matrix and cracks of Tresca type (c = su ≠ 0, = 0, and c* ≠ 0, * = 0), shown in Fig.…”

Section: Bearing Capacity Examplementioning

confidence: 99%

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Yield criteria for glaciotectonically deformed deposits

Florkiewicz

Wanatowski

Flieger-Szymańska

et al. 2018

Engineering Geology

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Most glaciotectonically deformed deposits, including varved clays and glacial tills, are characterised by cracks and fissures. This paper presents a method for describing the yield criteria for glacitectonically deformed cohesive deposits using a model of cracked geomaterial with isotropic or anisotropic matrix. The general representation of the limit conditions for anisotropic materials in plane-strain is used to determine the yield criterion. The yield criterion represents a convex, piece-wise surface in the three-dimensional stress space revealing explicitly global, plastic properties of the materials considered. An example of using proposed yield criteria to solve a bearing capacity problem of a strip foundation constructed on a glaciotectonically cracked layer is presented. The lower and upper-bound estimates of limit loads on the strip footing are given. The limit state analysis presented in this paper can be used to solve many other geotechnical engineering problems, for example, the stability of slopes and reinforced walls or the bearing capacity of pile foundations.

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Section: Discussionmentioning

confidence: 99%

Section: Bearing Capacity Examplementioning

confidence: 99%

Yield criteria for glaciotectonically deformed deposits

Florkiewicz

Wanatowski

Flieger-Szymańska

et al. 2018

Engineering Geology

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“…A safety factor, defined in terms of work rates, has been used to calculate the pdf of the slope safety factor and a normal distribution was found to approximate well the internal friction angle for values up to 16° as described by Florkiewicz and Kubzdela (2013). Ground improvement achieved by vertical drains and surcharge preloding has been assessed by using stochastic cost optimization (Kim et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

Time-variant failure probability of critical slopes under strong rainfall hazard including mitigation effects

León

Garduño

2020

Structure and Infrastructure Engineering

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Time-variant failure probability of critical slopes under strong rainfall hazard including mitigation effectsThe time-variant failure probability for critical slopes under strong rainfalls, which might cause reductions on the soil shear strength, is calculated and compared to the target failure probability. The soil properties and rainfall characteristics are considered as random and the correlation between rainfall intensity and duration is included to assess the impact of water infiltration on the slope failure probability.The failure probability, defined as the probability that the safety factor is less than 1, is calculated through a Monte Carlo simulation process. The paper emphasizes the importance of the time during the water infiltration into the soil, as the rainfall sequence occurs. The target failure probability, derived from the minimum expected life-cycle cost, is compared to the slope failure probability to decide if the slope requires mitigation measures. If mitigation is required, the slope model is modified and a new annual failure probability is calculated. The slope annual failure probability, for 3 sites under strong rainfall hazard, is found to be around 0.78. However, by introducing anchor bars, the failure probability reduces to 0.037.The proposed formulation allows for the risk-based prioritization for the attention of a set of slopes at several sites and the consideration of mitigation actions.

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“…Limit analysis is a method available for finding a relatively simple solution to the slope stability problem (Chen, 1975;Florkiewicz and Kubzdela, 2013;Han et al, 2014;Li et al, 2009;Nian et al, 2008;Yang and Pan, 2015). Stability analyses of a soil slope and a uniformly reinforced soil slope were conducted completely using a kinematical approach (Michalowski, 1995(Michalowski, , 1997.…”

Section: Introductionmentioning

confidence: 99%

Limit analysis of ground anchor forces

Xiao

Guo

2017

Proceedings of the Institution of Civil Engineers - Geotechnica

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An anchored sheet wall is commonly used in retaining deep excavations. Anchor force is one of the critical design parameters in practice. Based on the kinematical admissible failure mechanism, a limit analysis approach to determine the anchor force is presented. The explicit formula for the anchor force is given, which makes it easy to calculate using a simple calculation program such as MS Office Excel. Anchor force is mainly influenced by seven parameters: the internal friction angle; cohesion of the soil; wall friction angle; surcharge on the ground surface; dip angle of the anchor; penetration depth of the wall; and depth from the anchor force action point on the wall to the ground surface. The relevant quantitative calculation can be performed by the proposed method. In addition, the design anchor force under a specified design safety factor and the anchor forces of multiple rows of anchors are also illustrated in this paper. To verify that the method is reasonable, the predicted and measured anchor forces are compared in two classical soil-nailed wall experiments. The result shows that the presented method is applicable.

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Factor of safety in limit analysis of slopes

Cited by 6 publications

References 5 publications

Yield criteria for glaciotectonically deformed deposits

Yield criteria for glaciotectonically deformed deposits

Time-variant failure probability of critical slopes under strong rainfall hazard including mitigation effects

Limit analysis of ground anchor forces

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