Geomechanics and Engineering

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Analytical solution of seismic stability against overturning for a rock slope with water-filled tension crack

  • Zhang, Yanjun (School of Civil Engineering and State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Nian, Tingkai (School of Civil Engineering and State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Zheng, Defeng (School of Urban and Environmental Science, Liaoning Normal University) ;
  • Zheng, Lu (Institute of Disaster Mitigation and Reconstruction, Sichuan University)
  • Received : 2016.01.21
  • Accepted : 2016.05.17
  • Published : 2016.10.25
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Abstract

Steep rock slope with water-filled tension crack will happen to overturn around the toe of the slope under seismic loading. This failure type is completely different from the common toppling failure occurring in anti-dipping layered rock mass slopes with steeply dipping discontinuities. This paper presents an analytical approach to determine the seismic factor of safety against overturning for an intact rock mass slope with water-filled tension crack considering horizontal and vertical seismic coefficients. This solution is a generalized explicit expression and is derived using the moment equilibrium approach. A numerical program based on discontinuous deformation analysis (DDA) is adopted to validate the analytical results. The parametric study is carried out to adequately investigate the effect of horizontal and vertical seismic coefficients on the overall stability against overturning for a saturated rock slope under two water pressure modes. The analytical results show that vertically upward seismic inertia force or/and second water pressure distribution mode will remarkably decrease the slope stability against overturning. Finally, several representative design charts of slopes also are presented for the practical application.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

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