Bearing capacity analysis of submerged slopes subjected to water drawdown based on a nonassociated flow rule and nonline

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ORIGINAL PAPER

Bearing capacity analysis of submerged slopes subjected to water drawdown based on a nonassociated flow rule and nonlinear failure criteria Bo Deng 1,2 & Minghui Yang 1,2 Received: 1 July 2019 / Accepted: 12 September 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract Water level drawdowns that occur outside and inside a fully, or partially, submerged slope will change the hydraulic gradient and enhance seepage forces, and may thus lead to slope instability and collapse. Existing research on this stability issue has primarily focused on the use of linear failure criteria and the associated flow rule. Little attention has been given to the effects of nonlinearity and the nonassociated plasticity of geomaterials, and of surcharge loading on slope stability. However, these conditions are more realistic for real-world cases. This study addresses this knowledge gap. The limiting surcharge on the top of submerged slopes subjected to water drawdown is analyzed in terms of nonlinearity and dilation effects using a limit analysis method. The optimal solutions were sought through optimization. The proposed method and its assumed failure mechanism were validated by comparing the results of the proposed method with results from finite element and finite element limit analysis. Parametric analysis and a case study are presented and indicate that as the water level difference increases, the bearing capacity of the slope decreases. In addition, it was found that the dilatancy effect has an effect on slope bearing capacity and that the inclusion of nonlinear effects enables better results. Keywords Nonlinearity . Dilation . Surcharge loading . Water drawdown . Slope stability . Limit analysis method

Introduction Slope stability assessment plays an important role in geotechnical engineering works, and the reliability of the assessment results will directly affect the safety of human life and property surrounding the slope. Generally, slopes remain stable but may lose their stability as a result of, inter alia, seepage flow, seismicity, and surcharge loading. Moreover, slope failure is not generally caused by a single factor but by the combined effects of multiple factors. To address this, many researchers

* Minghui Yang [email protected] Bo Deng [email protected] 1

College of Civil Engineering, Hunan University, Changsha 410082, Hunan, China

2

Key Laboratory of Building Safety and Energy Efficiency of the Ministry of Education, Hunan University, Changsha, China

have studied the effects of multi-factor coupling on slope stability. Some research on slope stability analysis for pore-water pressure and seismic forces has been carried out using limit analysis theory (Michalowski 2002; Zhang and Cao 2013). Song et al. (2017) performed a large-scale model test to investigate the comprehensive action of earthquakes and water drawdown on slope stability. Over the last decade in particular, several researchers have reported that reservoir landslides occurred when the reservoirs experienced a sudden