| The problems with respect to slopes especially those in mountain area remain to be crucial geological hazards to the infrastructure construction, society, scientific and technological progress, and the economic development. In this thesis, the optimization analysis is conducted thoroughly and systematically on the typically anchored slope, which is based on the true characters of rock slopes in mountain area. The results provide a relatively sound reference for the stability analysis of typical rock slope and the anchorage design. Therefore, by the means of theoretical derivation and optimization analysis, the original and innovative achievements are obtained and summarized as follows:(1) On the basis of several typical rock slop failure mechanisms in engineering and through analyzing the weakness of optimization analysis models in terms of the anchoring parameters of rock slope, a method for analyzing the stability of rock slope and an optimization analysis method of anchoring parameters are established which take the truly nonlinear destruction properties of rock material into account.(2) A conceptual model for the stability analysis of plane rock slope bordering a river is established based on linear Mohr-Coulomb failure criterion, considering the various effects such as the variation of groundwater table, water scouring, anchoring. Meanwhile, the method for evaluating the stability of river-bordering rock slope is presented, which is significant to analyze as well as to provide the methods of prevention and treatment for the river-bordered plane slope disease.(3) On the basis of the nonlinear Barton-Bandis failure criterion, the technique of anti-sliding stability analysis of the plane-failure rock-slope is presented here, in which the anti-sliding stability is controlled by the anchor cable acting on the rock joint surface. The analysis results demonstrate that the proper selection of anti-shear strength parameter with respect to the sliding surface controlling by rock joint surface is significant for analyzing and reinforcing the stability of rock slope controlled by the joint surface.(4) Based on nonlinear Hoek-Brown failure criterion and combined with strength reduction technique and upper bound limit analysis theory, the energy analysis method for analyzing the loss of stability of assumed homogeneous rock slopes and evaluating stability of anchor-cable reinforced is improved and extended. Then, the simplified design procedure for the anchor-bolt and anchor-cable is presented, which provides some references for the anchoring design strategy of rock structure design.(5) Based on the principle of Janbu method, The method for searching the critical surfaces of two-and three-dimensional anchored slopes is proposed through using random angle to generate random sliding surface. Furthermore, the expression for evaluating the stability of two-and three-dimensional anchored slopes is obtained, in which the anchor effect of prestressed anchor cable is taken into account.
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