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| Research on stability control of 3D slopes based on column grid discretization of stress fields |
| LI Zhong1,2,NI Jiaqing1,MENG Chang1 |
| (1. College of Urban Railway Transportation,Shanghai University of Engineering Science,Shanghai 201620,China;2. School of Civil Engineering,Lanzhou University of Technology,Lanzhou,Gansu 730050,China) |
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Abstract In order to better apply the numerical methods to the slope stability calculation,a 3D slope stability control analysis method based on the column grid discretization of stress fields is proposed. After the numerical calculation of a three-dimensional slope is completed,the minimum cube surrounded by the length,width and height of the three-dimensional slope is divided into m×n×k cube grids,then those cube grids at the same plane position are connected in series along the height direction to form m×n column grids. In this way,a three-dimensional coordinate system is constructed,which includes both the three-dimensional grid of slope columns and the grid of numerical calculation units. Firstly,by searching the numerical element corresponding to the center point of any i cubic grid,the numerical stress field is discretized into grids. Secondly,the expression of the safety factor based on the shear stress in the sliding direction of the sliding surface is proposed,the solution method of the vector of the sliding direction of any sliding surface in the column grid is derived,and the calculation model of the minimum safety factor in the grid is established. Thirdly,the search condition and search mode of the slip surface based on the combined control of the safety factor and the deformation are proposed,and the 3D slope spatial slip surface is obtained by searching the potential slip grid that best meets the control condition. Finally,the feasibility,rationality and superiority of this method are verified by typical examples,the influence of the spatial effect on the safety factor and the deformation of a three-dimensional slope is analyzed,and a correlation curve between the safety factor and the displacement under controllable conditions is proposed. The research results have important scientific significance and application value for the numerical calculation of 3D slope stability and safety control under complex conditions.
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