Stability Analysis of Anchored Soil Slope Based on Finite Element Limit Equilibrium Method

Abstract

Under the condition of the plane strain, finite element limit equilibrium method is used to study some key problems of stability analysis for anchored slope. The definition of safe factor in slices method is generalized into FEM. The “true” stress field in the whole structure can be obtained by elastic-plastic finite element analysis. Then, the optimal search for the most dangerous sliding surface with Hooke-Jeeves optimized searching method is introduced. Three cases of stability analysis of natural slope, anchored slope with seepage, and excavation anchored slope are conducted. The differences in safety factor quantity, shape and location of slip surface, anchoring effect among slices method, finite element strength reduction method (SRM), and finite element limit equilibrium method are comparatively analyzed. The results show that the safety factor given by the FEM is greater and the unfavorable slip surface is deeper than that by the slice method. The finite element limit equilibrium method has high calculation accuracy, and to some extent the slice method underestimates the effect of anchor, and the effect of anchor is overrated in the SRM.

Investigation of Shear Strength Reduction Method in Slope Stability of Reinforced Slopes by Anchor and Nail

“…The Limit Equilibrium Method lacks unique factors of safety due to its dependence on assumptions like defining inter-slice forces distribution and failure surface shape. This sensitivity emphasizes the potential variability in slope stability analysis outcomes [2]. The Limit Equilibrium Method (LEM) does not account for the stress-strain behavior of soil or consider certain soil parameters like dilatancy [3].…”

“…The industry has accepted the Limit Equilibrium Method as the standard thanks to its effectiveness in conducting simpler and faster analyses [6]. In recent decades, the LEM has been frequently used by geotechnics engineers and researchers to analyze the stability of both rock and soil [2,4,[7][8][9][10][11]. For instance, Lee et al [12] developed a new estimate of the Mohr envelope for the generalized Hook-Brown (GHB) criterion, which is valid in a broad range of Geological Strength Index (GSI) values.…”

“…Many researchers, on the other hand, compared the safety factor obtained from LEM with SSRM [2][3][4]7,[9][10][11]15,[26][27][28]. In the following, some of these studies, preferably the recent and straightforward ones, are opened up and explained.…”

Influence of Basalt Fiber-Reinforced Cement-Based Composite on Slope Stability

“…Under natural and human interferences, some instable slopes will suffer from landslide, slump, collapse, or spalling, and evolve into a geological disaster that threatens lives and properties [1][2][3]. Slope instability is mainly caused by the action of external load or the lack of internal shear strength [4][5][6]. Capable of enhancing slope stability, fiber-reinforced composite cement piles have attracted more and more attention from scholars.…”

Mathematical Modeling of Landslide Slope Dynamics and Sustainable Development of Territories of Asian Russia

“…Dong, Hu and Song (2018) presented some predicted results for landslide slope stability based on 3D geological and geotechnical technologies and models of numerical simulation, while Sari et al (2020) evaluated slope stability analysis by using the concept of the ultimate rock equilibrium and calculating the displacement resistance coefficient. Zhang et al (2016) examined some approaches to detecting landslide process activation and identified key factors that cause landslide mass displacement, which later were used for building physical and mathematical models and carrying out necessary calculations. They also showed strengths and weaknesses of different calculation methods (finite element limit equilibrium method, slices method and finite element strength reduction method) when evaluating the three cases of stability analysis, i.e.…”