Stability Analysis of Unsaturated Slopes Considering Combined Influences of Strength Non-homogeneity and Non-saturation
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ORIGINAL PAPER
Stability Analysis of Unsaturated Slopes Considering Combined Influences of Strength Non-homogeneity and Non-saturation Dan-ping Gu . Tong-hua Ling . Fu Huang . Liang Zhang
Received: 8 June 2019 / Accepted: 21 May 2020 Ó Springer Nature Switzerland AG 2020
Abstract In the present study, the stability analysis of slopes in four different categories of non-homogeneous and anisotropic soils under various steady flow conditions, i.e., infiltration, evaporation, no suction and no-flow are conducted based on the limit analysis method. The internal energy dissipation owing to soil cohesion considering non-homogeneity and anisotropy, as well as the rate of work done by the apparent cohesion resulting from matric suction are calculated. Thereafter, the analytical expression of the required cohesion and stability number of slope are derived in virtue of the energy balance equation. The optimized solutions are obtained using the optimization program. The results are compared with those of a previous study to verify the present work, and a parametric analysis is conducted to investigate the effects of cohesion strength non-homogeneity and anisotropy of cohesion strength, infiltration rate, slope geometry, and soil type on slope stability. It is found that cohesion non-homogeneity and anisotropy have significant influences on slope stability of slope subjected to the no-suction condition, and variation in steady flow conditions hardly change the effect of slope angle D. Gu T. Ling (&) F. Huang L. Zhang School of Civil Engineering, Changsha University of Science and Technology, Changsha 410114, China e-mail: [email protected] D. Gu College of Construction Engineering and Arts, Hunan Institute of Technology, Hengyang 421002, China
on slope stability. A set of numerical solutions to obtain preliminary designs is presented in Sect. 7. Keywords Stability analysis Cohesion nonhomogeneity and anisotropy Unsaturated soils Steady flow
1 Introduction Soils were assumed to be homogeneous and dry/ saturated in most slope stability analyses. However, soils are in fact commonly unsaturated in nature because of rainfall and several other reasons (Lu and Likos 2004; Oh and Lu 2015; Li and Yang 2018); simultaneously, owing to natural and man-made phenomena, such as deposition and uploading, soils generally exhibit non-homogeneity and anisotropy in nature (Chen 1975; Nian et al. 2008; Han et al. 2014). Both soil strength non-saturation and cohesion nonhomogeneity and anisotropy have significant impacts on slope stability, and it is of tremendous importance to investigate the stability of unsaturated slopes in nonhomogeneous and anisotropic soils. Several studies have been conducted to investigate slope stability, including in non-homogeneous soils. Chen (1975) conducted a stability analysis of two-step slopes in non-homogeneous and anisotropic soils, and presented the slope stability factors under different slope angles and non-homogeneity and anisotropy
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