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A three-dimensional slope stability analysis method based on finite element method stress analysis
Abstract A new three-dimensional slope stability analysis method based on stress calculation by the finite element method is proposed. This method conforms to the uniform assumption of the sliding direction of the rigid limit equilibrium method and can easily be used calculate the three-dimensional sliding direction. By using this method, both the local and global safety factors of the slip surface can be calculated according to the integral mean value theorem. Additionally, an improved ellipsoidal slip surface construction method is proposed for roughly searching for the minimum safety factor and the critical slip surface. A two-stage particle swarm optimization is used to search for the critical slip surface more accurately. Two numerical examples of fixed slip surfaces are provided to confirm the effectiveness of the proposed method and its applicability to nonspherical slip surfaces. The influence of the slip surface mesh grid size, boundary conditions, Poisson's ratio, and dilatancy angle on the calculation results is revealed. Another two numerical examples of searching for the critical slip surface are then provided, and the results of the proposed method are compared with the results of the strength reduction method to confirm the validity of the proposed method.
Highlights A new three-dimensional slope stability analysis method based on finite element stress field is proposed. The ratio of the shear strength to the shear stress with taking into the sliding direction is the local safety factor. The global safety factor is calculated from the local safety factor according to the integral median theorem. An improved ellipsoid method is used to construct the critical slip surface.
A three-dimensional slope stability analysis method based on finite element method stress analysis
Abstract A new three-dimensional slope stability analysis method based on stress calculation by the finite element method is proposed. This method conforms to the uniform assumption of the sliding direction of the rigid limit equilibrium method and can easily be used calculate the three-dimensional sliding direction. By using this method, both the local and global safety factors of the slip surface can be calculated according to the integral mean value theorem. Additionally, an improved ellipsoidal slip surface construction method is proposed for roughly searching for the minimum safety factor and the critical slip surface. A two-stage particle swarm optimization is used to search for the critical slip surface more accurately. Two numerical examples of fixed slip surfaces are provided to confirm the effectiveness of the proposed method and its applicability to nonspherical slip surfaces. The influence of the slip surface mesh grid size, boundary conditions, Poisson's ratio, and dilatancy angle on the calculation results is revealed. Another two numerical examples of searching for the critical slip surface are then provided, and the results of the proposed method are compared with the results of the strength reduction method to confirm the validity of the proposed method.
Highlights A new three-dimensional slope stability analysis method based on finite element stress field is proposed. The ratio of the shear strength to the shear stress with taking into the sliding direction is the local safety factor. The global safety factor is calculated from the local safety factor according to the integral median theorem. An improved ellipsoid method is used to construct the critical slip surface.
A three-dimensional slope stability analysis method based on finite element method stress analysis
Su, Zhenning (Autor:in) / Shao, Longtan (Autor:in)
Engineering Geology ; 280
03.11.2020
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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