Lower-bound limit analysis method of ultimate bearing capacity of jointed rock slope considering rock translation and rotation effects at the same time

Abstract

The invention relates to a lower-bound limit analysis method of bearing capacity considering rock translation and rotation effects at the same time, and belongs to the technical field of rock slope stability analysis. According to the method, a rigid block unit is scattered as a geometry system of a rigid rock and a structural plane, the normal force, shearing force and bending moment of the structural plane are used as unknown quantities, a static permission stress field satisfying an equilibrium equation considering the translation and rotation effects of the rigid block unit, structural plane shear yield conditions, structural plane tensile yield conditions, structural plane rotational yield conditions and static boundary conditions is constructed, an overload coefficient is used as a target function, and a lower-bound linear mathematic programming model is built; the linear mathematic programming model is solved by means of an interior point algorithm, a strength reserve coefficient is solved by means of an iterative method at the same time, and the lower-bound solution and corresponding yield area of the overload coefficient or the strength reserve coefficient of the jointed rock slope are acquired. The method has the advantages that the concept is clear and the computational accuracy is high, and the method can be applicable to bearing capacity analysis of translational or rotational failure of the jointed rock slope.

Description

technical field

[0001] The invention is a lower limit method for analyzing the ultimate bearing capacity of a jointed rock slope considering both translation and rotation effects of the rock mass, in particular to a bearing capacity that simultaneously considers the shear failure, tensile failure and rotation failure of the structural plane of the rock mass Analysis. The invention belongs to the technical field of rock slope stability analysis. Background technique

[0002] The instability of jointed rock slope is a common geological disaster. In domestic and foreign highways, railways, mines and water conservancy and hydropower projects, a large number of catastrophic accidents of joint rock slope instability and failure have been encountered, such as the domestic Tianshengqiao No. 2 Hydropower Station slope dumping and Jinchuan open-pit mine slope instability etc. The bearing capacity and stability evaluation method of jointed rock slopes has become an important technic...

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