Seismic Stability Analysis Of Slopes Using A Discretization Kinematic Approach

Slope seismic stability analysis is a commonly encountered issue in geotechnical engineering.In this paper,a novel technique based on the upper bound limit analysis,which is called the discretization technique,was employed for the stability evaluation of multi-stage,non-homonegeous slopes and slopes with cracks.Moreover,the pseudodynamic approach was then adopted to analyze the seismic influence on the complex slopes.It is effective in the seismic stability analysis of complex slopes,particularly attractive by the simple process with adequate calculation accuracy,which can succeed in the analysis efficiently.The main research can be detailed as follows:(1)Generation process of the discretization mechanism in complex slopes was presented,and the work rates were calculated.Safety factors and corresponding slip surfaces can be obtained based on the optimization process using MATLAB.And comparisons with several examples(based on the traditional kinematic approach,limit equilibrium method,the numerical methods,and etc.)were conducted to validate the present mechanism.(2)Pseudo-dynamic approach was adopted in the discretization mechanism to analyze the seismic influence on complex slopes.The safety factor and critical slip surfaces were obtained combined with the strength reduction method and dichotomization.Besides,the differene of the pseudo-dynamic and pseudo-static approaches was discussed.Parametric analysis was also presented.(3)The failure mechanism of non-homogeneous slopes with cracks was proposed using the discretization technique.The external work rate and energy dissipation were calculated for three kinds of slopes with cracks.After the comparison with the existing studies,the efficiency of the proposed mechanism can be validated by the consistency of the optimization results.Besides,some recommendations were also provided for the design and construction of slopes in practical engineering.(4)A practical landslide which has happened in Guangxi Province was also analyzed using the present discrete mechanism.Safey factor and slip surface were obtained based on the strength/geometrical paramenters and were compared with the existing studies to support the present approach.