Study on the Location and Stability of Slip Fracture Surface of Rocky Slope with Shear Joint
Codirectional biplane sliding is one of the common failure modes of rock slopes with a single geological fault plane(shear joint face),but the calculation methods for this type of slip surface are insufficient.In order to find the position of the slip surface of the slope more efficiently and accurately,and judge the stability of the slope,based on the limit equilibrium theory and nonlinear mathematical programming model,assuming that the slider has fallen off and the shape is an uncertain quadrilateral slide,and then assuming that the objective function is the safety factor of the rock slope,the position and stability of the slip fracture surface of the engineering slope with shear joint surface under natural working conditions are calculated by using MTALAB's global optimal search method.Then the results are analyzed and compared with those ofthe strength reduction method and the Bishop rigid body equilibrium method.The results show that the position of the slip fracture surface based on the limit equilibrium theory and the nonlinear mathematical programming model is basically consistent with the safety factor,which verifies the feasibility of such a method,providing a new basis for the calculation and stability analysis of the slip fracture surface of rock slope with a single geological fault layer.
rock slopecalculation of slip surfacesafety factorlimit equilibrium methodnonlinear theoryoptimization principle
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