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The Theory and Application of Limit Equilibrium FEM Dijktra Algorithm Related to Rock Slope Engineering

Author: DengJunZuo
Tutor: XuWeiYa
School: Hohai University
Course: Disaster Prevention and Reduction Engineering and Protective Engineering
Keywords: Slope stability Limit equilibrium finite element Safety factor Dangerous slip surface Graph Theory The shortest Dijkstra's algorithm
CLC: TU43
Type: Master's thesis
Year: 2006
Downloads: 319
Quote: 4
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Abstract


Engineering finite element calculation reflects the slope deformation characteristics, stress state and failure mechanism, but still can not give an intuitive safety factor. Limit equilibrium analysis methods, the safety factor can be intuitive and dangerous slip surface position, but on the failure mechanism of certain limitations. Urgent need to develop a finite element results with the limit equilibrium analysis method combined limit equilibrium finite element method. Based on this line of thinking, the introduction of graph theory and network models to solve the problem of slope slip surface search, automatic search of dangerous slip surface, calculate the minimum safety factor. Discussed the problem of slope safety factor in the definition of the type of material model and the specific calculation to obtain a new safety factor calculation method. The application of this search method of slope slip surface of different parameters on the location and the safety factor of slope slip surface. Finally, this method is used in hydropower Baihetan Los ancient slope engineering. The specific research work are as follows: (1) the slope limit equilibrium finite element methods to solve mathematical graph theory. After a lot of research in graph theory, Dijkstra's algorithm can be applied to solve the shortest path problem in graph theory the slope limit equilibrium finite element analysis; (2), the slope limit equilibrium finite element analysis stress results obtained by the finite element method into the language of graph theory and finite element for the safety factor of the slope of the objective function limit equilibrium slip surface optimization, modify Dijkstra algorithm, and the modified Dijkstra algorithm optimized slope limit equilibrium finite element slip surface and its safety factor fully made strict mathematical proof; (3), the introduction of the principles of mechanics, the modified Dijkstra algorithm has been optimized so that the modified Dijkstra algorithm more in line with the slope mechanics, computational efficiency has been improved, and the preparation of the corresponding computer program and its pre-and post-processing program; (4), the application prepared by Dijkstra limit equilibrium finite element analysis program, the slope limit equilibrium finite element numerical example , the parameter sensitivity analysis. Prove the correctness of the Dijkstra algorithm to obtain the position of the safety factor and sliding arc with the angle of internal friction, the inner cohesion, Poisson's ratio, the elastic modulus change trend (curve); (5) for the Rockwell ancient Hydropower dam site abutment slope profile limit equilibrium finite element analysis, discusses the feasibility of Dijkstra algorithm when the reverse slope slip surface search, get the inverse slope slip surface is controlled by the fault. Inverse slope slip surface tensile stress control for such a tensile stress control slip surface search of the proper disposal method;

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CLC: > Industrial Technology > Building Science > Soil mechanics,foundation engineering > Soil Mechanics
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