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A method for solving three-dimensional slope safety factor based on the lower bound theorem of limit analysis

A technology of safety factor and slope, which is applied in the field of solving three-dimensional slope safety factor according to the lower bound theorem of limit analysis and geotechnical engineering slope stability evaluation, can solve the problems of heavy workload, high degree of freedom, and low calculation efficiency. Achieve the effect of reducing nonlinearity and simplifying the number of unknown quantities

Active Publication Date: 2021-06-01
CHINA INST OF WATER RESOURCES & HYDROPOWER RES
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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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  • A method for solving three-dimensional slope safety factor based on the lower bound theorem of limit analysis
  • A method for solving three-dimensional slope safety factor based on the lower bound theorem of limit analysis
  • A method for solving three-dimensional slope safety factor based on the lower bound theorem of limit analysis

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Embodiment Construction

[0021] Further illustrate the present invention below in conjunction with accompanying drawing and embodiment, should be understood that these examples are only for illustrating the present invention and are not intended to limit the scope of the present invention, after having read the present invention, those skilled in the art will understand various equivalent forms of the present invention All modifications fall within the scope defined by the appended claims of the present application.

[0022] 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. Some scholars have also tried to apply the idea of ​​the slope two-dimensional limit equilibrium method to the three-dimensional slope stability analysis. By introducing various assumptions, the complex three-dimensional problems be...

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Abstract

The invention discloses a three-dimensional slope safety factor solution method based on the lower bound theorem of limit analysis. The force balance (satisfying both force and moment balance) and the yield criterion are the constraints, and the slope stability analysis problem is transformed into a nonlinear optimization problem of solving the maximum safety factor; at the same time, the accuracy and reliability of the calculation results of the method disclosed in the invention are evaluated. It is verified by a representative example, and satisfactory results are obtained. The invention provides a new means 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...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G06F111/04
CPCG06F2111/04G06F30/13G06F30/20
Inventor 林兴超汪小刚孙平赵宇飞
Owner CHINA INST OF WATER RESOURCES & HYDROPOWER RES
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