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Three-dimensional assessment of cracked slopes with pore water pressure using limit analysis

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Abstract

The three-dimensional analysis of slope stability with cracks is crucial to investigate the mechanism of slope landslides to achieve desired accuracy. In the frame of limit analysis, the kinematic approach is adopted to evaluate the three-dimensional slope stability with cracks, based on a modified 3D horn-like rotation mechanism including below-toe failure. The effect of pore water pressure is considered using a commonly adopted coefficient ru. Stability charts are presented for convenience in the form of the dimensionless critical height γH/c as well as the factor of safety without iterations. The results indicate that the presence of pore water pressure decreases the stability of slopes and increases the depth of the crack. Gentle slopes with large values of ru are found to be more prone to below-toe failure.

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Acknowledgements

This study was sponsored by the Innovative Research Group Project of the National Natural Science Foundation of China (Grant Numbers 42077435). This support is greatly appreciated.

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Correspondence to Pingping Rao.

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Rao, P., Wu, J., Chen, Q. et al. Three-dimensional assessment of cracked slopes with pore water pressure using limit analysis. Environ Earth Sci 80, 645 (2021). https://doi.org/10.1007/s12665-021-09932-9

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  • DOI: https://doi.org/10.1007/s12665-021-09932-9

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