Abstract
As a slope may have numerous potential slip surfaces, its failure probability as a system is usually different from that of a single slip surface. Nevertheless, the system failure probability of a slope is often governed by several representative slip surfaces. How to identify the representative slip surfaces is important for system reliability analysis of soil slopes. Previous studies on representative slip surface identification mainly focus on circular slip surfaces within the framework of limit equilibrium methods; there are also relevant researches, albeit limited, within the framework of finite element/finite difference analyses based on the shear strength reduction method. By viewing the task of representative slip surface identification as a multidesign point identification problem, a barrier-based optimization method is suggested in this paper to identify representative slip surfaces of arbitrary shape based on the shear strength reduction method. A multiple starting point strategy is suggested to enhance its efficiency. For the three slopes examined in this paper, the method suggested is capable of identifying representative slip surfaces efficiently without prior assumption on their shapes.
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Funding
This work was substantially supported by Shuguang Program from Shanghai Education Development Foundation and Shanghai Municipal Education Commission (19SG19), National Key R&D Programmes of China (2018YFC0809600, 2018YFC0809601), National Natural Science Foundation of China (51538009, 41672276, 51979158), Key Innovation Team Program of MOST of China (2016RA4059), and Fundamental Research Funds for the Central Universities.
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Duan, X., Zhang, J., Huang, H. et al. System reliability analysis of soil slopes through constrained optimization. Landslides 18, 655–666 (2021). https://doi.org/10.1007/s10346-020-01447-x
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DOI: https://doi.org/10.1007/s10346-020-01447-x