Three-dimensional slope safety factor solving method based on lower bound limit analysis

Abstract

The invention discloses a three-dimensional slope safety factor solving method based on lower bound limit analysis. According to the method, the magnitude, direction and action point of block body interface acting force serve as main variables, static balance (meeting force and torque balance at the same time) and yield criteria required by the lower bound limit analysis for permitting a static field serve as constraint conditions, and the slope stability analysis problem is converted into a nonlinear optimization problem for solving the maximum safety coefficient value; meanwhile, the accuracy and reliability of the calculation result of the method disclosed by the invention are verified through a representative example, and satisfactory results are obtained. The invention provides a newmeans for the three-dimensional stability analysis of the actual slope engineering.

Description

technical field [0001] The invention relates to a geotechnical engineering side slope stability evaluation method, in particular, the invention relates to a method for solving a three-dimensional side slope safety factor according to the limit analysis lower limit theorem. The invention belongs to the field of limit analysis of slope stability in geotechnical engineering. Background technique [0002] At present, in the field of slope stability analysis, due to the lack of mature and effective three-dimensional analysis methods, slope stability analysis is usually considered as a plane problem, and the spatial effect of actual engineering is ignored. This approach is acceptable in most cases, but for some slopes with huge scale and significant spatial effects, it is obviously inappropriate to use the two-dimensional analysis method. [0003] Many scholars at home and abroad have tried to apply the idea of ​​two-dimensional limit equilibrium method of slopes to three-dimensi...

AI Technical Summary

Problems solved by technology

This method is based on the upper and lower bound theorem of plastic mechanics. Although it can make up for the defect that the theoretical basis of the traditional three-dimensional limit equilibrium method is not rigorous enough, but at the same time, because this method needs to discretize the research object with finite elements, and use the stress or Displacement, as an unknown quantity, not only has a large workload and low calculation efficiency, but also brings great difficulties to the calculation and solution due to the large number of unknown quantities and high degrees of freedom

At this stage, relevant research results are still mainly in the verification of some relatively simple examples, and their application to complex practical projects, especially in the field of slope stability analysis in the three-dimensional field will face huge challenges

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