Probabilistic stability analyses of undrained slopes by 3D random fields and finite element methods

Liu, Yong; Zhang, Wengang; Zhang, Lei; Zhu, Zhiren; Hu, Jun; Hong, Wei

doi:10.1016/j.gsf.2017.09.003

Cited by 121 publications

(26 citation statements)

References 25 publications

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“…However, the soil condition is always complex and randomly distributed in the construction site. Since spatial variations of soil properties have been reported recently (e.g., [20]), further research considering nonhomogeneous soils will be conducted in the future.…”

Section: Resultsmentioning

confidence: 99%

Slip Line Theory Based Stability Analysis on the Influence of Deep Excavation on Adjacent Slope

Zhou

Jiang

et al. 2018

Mathematical Problems in Engineering

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The impact of deep excavation to the stability of adjacent slope is evaluated based on the slip line theory. Stress field of slope under various excavation conditions is simulated by finite element method, while slip line field is determined by non-associated flow rule. Factor of safety is obtained by integrating the skid-resistance and the shear stress on each slip line, and the slip line with minimum factor of safety corresponds to the critical slip surface. Two typical displacement constraint boundaries are considered. The results indicate that the critical slip surface moves towards to the slope surface and develops downwards. The factor of safety decreases with the excavation process. For flexible displacement constraint boundary, large deformation of supporting pile causes obvious variation of critical slip surface and factor of safety. In terms of the stiff displacement constraint boundary with internal supports, deep excavation only has limited effect on the slope stability.

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Section: Resultsmentioning

confidence: 99%

Slip Line Theory Based Stability Analysis on the Influence of Deep Excavation on Adjacent Slope

Zhou

Jiang

et al. 2018

Mathematical Problems in Engineering

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“…Although the failure consequences are in general site-specific (e.g., loss of life and property), the volume of sliding mass (i.e., failure mechanism) can be a preliminary measure of failure consequence [4][5][6]. e failure probability and failure mechanism can be calculated in a probabilistic manner combing the finite element method (FEM) [3,5,[7][8][9][10][11][12][13][14][15], finite difference method (FDM) [16] with the strength reduction technique (SRT), and limit equilibrium method (LEM) [17][18][19][20][21][22][23][24][25][26][27]. On the one hand, FEM and FDM are preferably adopted for deterministic slope stability evaluation owing to their abilities of automatically searching the critical failure mechanism, modeling complicated constitutive law, and considering sophisticated external loads.…”

Section: Introductionmentioning

confidence: 99%

Failure Mechanism and Factor of Safety for Spatially Variable Undrained Soil Slope

Chu

2019

Advances in Civil Engineering

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This paper aims to investigate the differences in factor of safety (FS) and failure mechanism (FM) for spatially variable undrained soil slope between using finite element method (FEM) , finite difference method (FDM), and limit equilibrium method (LEM). The undrained shear strength of cohesive soil slope is modeled by a one-dimensional random field in the vertical direction. The FS and FM for a specific realization of random field are determined by SRT embedded in FEM- and FDM-based software (e.g., Phase2 6.0 and FLAC) and LEM, respectively. The comparative study has demonstrated that the bishop method (with circular failure surface) exhibits performance as fairly good as that of SRT both in FS and FM for the undrained slope cases where no preferable controlling surfaces such as hydraulic tension crack and inclined weak seams dominate the failure mechanism. It is, however, worthwhile to point out that unconservative FM is provided by the Bishop method from the aspect of failure consequence (i.e., the failure consequence indicated by the FM from the Bishop method is smaller than that from SRT). The rigorous LEM (e.g., M-P and Spencer method with noncircular failure surface) is not recommended in the stability analysis of spatially variable soil slopes before the local minima and failure to converge issues are fully addressed. The SRT in combination with FEM and/or FDM provides a rigorous and powerful tool and is highly preferable for slope reliability of spatially variable undrained slope.

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“…ere are two commonly used calculation methods in slope stability analysis: the limit equilibrium method (LEM) [9][10][11] and finite element method (FEM) [12][13][14]. Compared with the FEM, the LEM has a high computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Slope with Multiple Sliding Surfaces Based on Dynamic Strength‐Reduction DDA Method

Wang

Zhu

Wang

et al. 2019

Advances in Civil Engineering

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The present study aims to elucidate the problem of a rock mass structural plane with a range of damage degrees and the numerical model selection for analysis of a slope with multiple sliding surfaces. Based on the relative displacement between blocks, the dynamic strength reduction-discontinuous deformation analysis (hereinafter referred to as DSR-DDA) method is proposed for studying slopes with multiple sliding surfaces. The slope-slider classic case was used to test the displacement threshold. The model was applied to the stability analysis of multiple sliding surfaces of a high rock slope in the Fushun West Open-Pit Mine. The results show that when the displacement threshold is set to 1 mm, the error between the DSR-DDA results and the theoretical solution is within 0.5%, which satisfies the calculation requirements. The most dangerous slip surface in the Fushun West Open-Pit Mine slope was identified. Based on the numerical slope model after the first landslide, the position of the secondary slip surface was then identified. The failure mode is traction sliding failure, and the middle and lower oil shales play a key role in the slope stability. This study recommends that mining of the remaining oil shale should stop to avoid causing large-scale landslides in the upper part of the slope and landslides at the pit-city boundary.

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Probabilistic stability analyses of undrained slopes by 3D random fields and finite element methods

Cited by 121 publications

References 25 publications

Slip Line Theory Based Stability Analysis on the Influence of Deep Excavation on Adjacent Slope

Slip Line Theory Based Stability Analysis on the Influence of Deep Excavation on Adjacent Slope

Failure Mechanism and Factor of Safety for Spatially Variable Undrained Soil Slope

Stability Analysis of Slope with Multiple Sliding Surfaces Based on Dynamic Strength‐Reduction DDA Method

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