Discrete mechanism for upper bound analysis of nonhomogeneous slopes
SUN Zhibin1,PAN Qiujing2,YANG Xiaoli3,HOU Chaoqun1,SHANG Manting1
(1. School of Automotive and Transportation Engineering,Hefei University of Technology,Hefei,Anhui 230009,China;
2. Laboratory 3SR,Grenoble Alpes University,Grenoble F–38000,France;3. School of Civil Engineering,Central South University,Changsha,Hunan 410075,China)
Abstract:A new mechanism of two-dimensional failure was proposed for the upper bound analysis of nonhomogeneous slopes with the friction angle varying spatially. This failure mechanism obeys the associated flow rule and geometry uniform condition and was established based on the idea of discretized slip surface. The velocity discontinuity surface was generated point by point. The rate of external work and the internal energy dissipation were derived. The critical height of the slope was derived through the methods of sequential quadratic programming(SQP) and bisection searching. The effectiveness of the presented method was verified in homogeneous,anisotropic and nonhomogeneous conditions respectively. Finally,the critical height of the nonhomogeneous slope was analyzed using the failure mechanism with the friction angle increases linearly with the depth. The results show that the nonhomogeneous coefficient of friction angle has the significant effect on the critical height.
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