| The FEM computation of engineering can reflect the characteristic of deformation, stress state and destroy mechanism of slope, but can not get an intuitionistic safety factory. Method of rigid limit equilibrium analysis, has a certain extent of localization in the investigation of destroy mechanism, though it can get an intuitionistic safety factory and the position of dangerous slide surface. So their needs a limit equilibrium FEM method impendence which combine the FEM compute result with the limit equilibrium analysis method. Base on this idea, introduced method of graph theory and grid model to solve the problem of search for dangerous slide surface, come true the auto search of dangerous slide surface, compute of the minimum of safety factory. The problem of definition of slope safety factory in different material model and the computation have been discussed, and then get a new method of compute safety factory. Application this method of search slide surface of slope, the different slope parameters to effect of the position of dangerous slide surface and safety factory have been discussed. In the end, this method application in the Bai-he Tan and the Luo-gu hydro-power slope engineering. The embody investigation works as follows:(1) Use the Graph theory method in mathematics to solve the problem of limit equilibrium FEM computation of slope. After doing a lot of investigation work on the correlative content of graph theory, make sure that the Dijkstra algorithm which used in solves the shortest path problem of Graph theory can analysis the slope stability problem;(2) Convert the FEM computes result in slope stability FEM of limit equilibrium analysis to the language of Graph theory, and aim to the function of safety factory on the optimize of slope limit equilibrium FEM analysis, and revise of the Dijkstra algorithm, and then do sufficiency theory prove on the slide surface and safety factory of slope limit equilibrium FEM analysis which get by the revised Dijkstra algorithm;(3) Introduce some correlation mechanics common sense to optimize the Dijkstra algorithm, to make the revised Dijkstra algorithm more accord to the slope mechanics theory, and also to improve the compute efficiency. Then edit the compute program and the fore-and-aft disposal procedure;(4) Use the Dijkstra limit equilibrium FEM analysis procedure, author have do the FEM of limit equilibrium analysis of a simple example slope, to prove the correction of the Dijkstra algorithm and do the parameters sensitivity of the simple slope, and get the varied curves of the relationship of the safety factory and the slide surface to the inner friction angle, cohesion, poison ratio and elasticity modulus;(5) According to the Luogu hydro-power dam site slope, doing the FEM of limitequilibrium analysis, and discuss the feasible of Dijkstra algorithm to search of the converse slide surface, then get of the converse slide surface, especially to the converse slide surface which controlled by the tension stress. And give off the disposal method to search of the converse slide surface which controlled by the tension stress.(6) Application the Dijkstra FEM of limit equilibrium analysis soft, author finished the plane FEM of limit equilibrium analysis of the slope stability of infall high slope in Baihe-Tan. To compare with the limit equilibrium method, get the consistent result: the destroy models of high slope in Baihe-Tan are deep-seated destroy, the infall slope is satisfy to the demand of the stability criterion in nature status, but the safety degree is not too ample;the safety factory is increase after excavation, if consider the excavation effect on the material parameter, the safety factory has a little decrease, but the slope is also in steady status;... |
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