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Geomechanics and Engineering
  Volume 8, Number 1, January 2015 , pages 97-111
DOI: https://doi.org/10.12989/gae.2015.8.1.097
 


Three dimensional seismic and static stability of rock slopes
X.L. Yang and Q.J. Pan

 
Abstract
    The kinematical approach of limit analysis is used to estimate the three dimensional stability analysis of rock slopes with nonlinear Hoek-Brown criterion under earthquake forces. The generalized tangential technique is introduced, which makes limit analysis apply to rock slope problem possible. This technique formulates the three dimensional stability problem as a classical nonlinear programming problem. A nonlinear programming algorithm is coded to search for the least upper bound solution. To prove the validity of the present approach, static stability factors are compared with the previous solutions, using a linear failure criterion. Three dimensional seismic and static stability factors are calculated for rock slopes. Numerical results of indicate that the factors increase with the ratio of slope width and height, and are presented for practical use in rock engineering.
 
Key Words
    Hoek-Brown criterion; limit analysis; rock slope; three dimensions
 
Address
(1) X.L. Yang:
School of Civil Engineering, Central South University, Hunan 410075, China;
(2) Q.J. Pan:
Joseph Fourier University, LTHE UMR 5564, Grenoble, France.
 

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