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3D slope stability analysis method based on Pan’s maximum principle

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Abstract

In this paper, a 3D slope stability analysis method is proposed based on the Pan’s maximum principle and under the framework of the limit equilibrium method. In the proposed method, the slope is discretized into a 3D block system. The magnitudes, directions, and acting points of the inter-block forces were considered as unknown variables. Based on the Pan’s maximum principle, a statically admissible stress field that satisfies the static equilibriums (force and moment equilibriums) and yield criteria for slope materials is used as constrained conditions and the maximum factor of safety (Fmax) is used as the optimization objective. Then, a nonlinear programming solver is used to solve the maximum safety factor. The proposed method is applied to four numerical examples, and the accuracy and reliability of this method are verified. This method can offer rational results and is of great feasibility in 3D slope stability analysis.

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Funding

This research was supported by the National Key R&D Program of China through Grant No. 2018YFC0407000, the National Natural Science Foundation of China (No.51809289), and the IWHR Research & Development Support Program (GE0145B462017 and GE0145B692017).

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Authors and Affiliations

  1. State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, Beijing, 100038, China

    Xiaogang Wang, Xinchao Lin, Ping Sun & Yongyu Ling

  2. China Institute of Water Resources and Hydropower Research, Beijing, 100044, China

    Xiaogang Wang, Xinchao Lin, Ping Sun & Yongyu Ling

  3. Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing, 100044, China

    Xu Li

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  1. Xiaogang Wang
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  2. Xinchao Lin
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  3. Xu Li
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  4. Ping Sun
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  5. Yongyu Ling
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Correspondence to Xinchao Lin.

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Wang, X., Lin, X., Li, X. et al. 3D slope stability analysis method based on Pan’s maximum principle. Landslides 17, 1163–1176 (2020). https://doi.org/10.1007/s10346-019-01303-7

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  • DOI: https://doi.org/10.1007/s10346-019-01303-7

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