Stability analysis of soil slopes based on strain information

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RESEARCH PAPER

Stability analysis of soil slopes based on strain information Zhenyu Wang2 • Wengang Zhang1,2,3



Xuecheng Gao2 • Hanlong Liu1,2,3 • Thomas Bo¨hlke4

Received: 28 August 2019 / Accepted: 3 May 2020  Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract The failure of engineering slopes may cause great property loss and casualties, against which the slope deformation monitoring and instrumentation are needed. To investigate the relationship between safety factors and the displacements/ strains of slopes, ten synthetic numerical models with different slope heights, slope angles, ranges of loading and soil parameters were designed and tested via finite difference code FLAC. By applying incremental load on the top of slope, the distribution of strain field and safety factor of slope were analyzed. The results indicated that there are three different modes of strain development inside the slope under uniform strip loading. During failure progress, the factors of safety and the corresponding total strain amounts at different loading stages have been analyzed. Based on the results, a modified empirical formula relating safety factor to the average maximum horizontal strain was proposed, which can be used as a theoretical guidance for preliminary slope stability check based on the instrumented strains. Keywords Factor of safety  Sliding surface  Slope stability  Strain analysis List of symbols c Bulk weight E Deformation modulus t Poisson’s ratio c* Cohesion u Friction angle & Wengang Zhang [email protected]; [email protected] Zhenyu Wang [email protected] Xuecheng Gao [email protected] Hanlong Liu [email protected] Thomas Bo¨hlke [email protected] 1

h b d H L1 L2 xi, yi xj, yj Dxi, Dyi Dxj, Dyj l lx l0 Ddx Ddy ehmax exi

Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Chongqing 400045, China

2

School of Civil Engineering, Chongqing University, Chongqing 400045, China

3

National Joint Engineering Research Center of Geohazards Prevention in the Reservoir Areas, Chongqing University, Chongqing 400045, China

4

Institute of Engineering Mechanics, Karlsruhe Institute of Technology (KIT), Kaiserstraße 10, 76131 Karlsruhe, Germany

a, b, c e ex ey

Slope height Slope angle Load width Model height Model width Width of model top The Coordinate of node A The Coordinate of node B Displacement increment of node A Displacement increment of node B The length of AB The length of AB in x direction The deformed length of AB The change of length in x direction The change of length in y direction The average of maximum horizontal strain according to Zhu et al. (2014) Horizontal strain of every monitoring cross section according to Zhu et al. (2014) Dimensionless fitting parameters Axial strain of AB Axial strain of AB in x direction Axial strain of AB in y direction

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Acta Geotechnica

1 Introduction With the population growth and economic development, the failure of fill slope in the co