A two-dimensional slope limit load solving method based on a limit analysis lower limit theorem

Abstract

The invention discloses a two-dimensional slope limit load solving method based on a limit analysis lower limit theorem, and the method comprises the steps: firstly, building a two-dimensional block sub-model of a slope, and building a variable system based on a line segment in combination with the characteristics of a slope rock-soil body material; Then, according to a limit analysis lower limittheorem, based on a two-dimensional block subsystem of the side slope and a variable system of a line segment, deriving an optimal solution algorithm expression of the two-dimensional side slope limitload; And finally, through an optimization algorithm expression, solving the two-dimensional slope limit load. According to the limit analysis lower limit theorem, any assumption outside the rigid block body is not introduced, the optimal solution is obtained through the optimization method, and the limit load of the designed slope is truly and objectively reflected. In addition, the block subsystem designed by the invention can return to the splitting subsystem after being simplified, and the block subsystem can consider the effect of the inner boundary of the strip block and can adapt to more complex damage modes.

Description

technical field [0001] The invention relates to a method for solving the limit load of a geotechnical engineering slope, in particular, the invention relates to a method for solving the limit load of a slope according to the limit analysis lower limit theorem and based on a block sub-system. The invention belongs to the field of limit load of geotechnical engineering slopes. Background technique [0002] The ultimate load solution of slope is an important research topic in rock mechanics and geotechnical engineering, and has great engineering significance and practical value. At present, the limit equilibrium method is the most commonly used analysis method because of its simple calculation, easy implementation, and relatively mature engineering application experience. However, in most cases, this method fails to fully satisfy the static equilibrium conditions (only part of the force and moment balance is satisfied), and at the same time, assumptions such as the direction o...

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Problems solved by technology

The relevant assumptions adopted by the limit equilibrium are reasonable in most cases, and the calculation results are acceptable, but in some special cases, these assumptions may violate the basic principles of solid mechanics, such as yield criteria and equilibrium conditions, resulting in wrong analysis results, Make the designed slope engineering too conservative or dangerous

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