Three-dimensional slope safety coefficient iterative solution method based on limit analysis lower limit theorem

Abstract

The invention discloses a three-dimensional slope safety coefficient iterative solution method based on a limit analysis lower limit theorem. According to the method, the magnitude, direction and action point of block body interface acting force serve as main variables, static balance and yield criteria meeting the limit analysis lower limit theorem permitted static field requirement 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, a transition variable critical acceleration coefficient [eta] is introduced, so that high nonlinearity caused by a strength reduction coefficient F is reduced. A corresponding reduction coefficient is solved when [eta]= 0 by adopting dichotomy iteration to obtain the safety coefficient. According to the method, an efficient means is provided for three-dimensional stability analysis of an actual complex slope project.

Description

technical field [0001] The invention relates to a method for evaluating the stability of a geotechnical engineering slope, in particular, the invention relates to a method for solving a three-dimensional slope safety factor through an iterative algorithm according to the lower limit theorem of limit analysis. 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, the three-dimensional slope stability analysis is usually considered as a plane problem, and the spatial effect of the actual project is ignored. This approach is acceptable in most cases, but for some three-dimensional slopes with huge scale and significant spatial effects, it is obviously inappropriate to use two-dimensional analysis methods. [0003] Many scholars at home and abroad have tried to apply the ide...

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Problems solved by technology

In order to overcome the shortcomings of the limit equilibrium method, in recent years, many scholars have explored the combination of the limit analysis theory of plastic mechanics and finite elements, and proposed a three-dimensional slope stability analysis method based on an optimization algorithm. However, due to the highly nonlinear nature of the optimization equation, It makes it very difficult to calculate the three-dimensional slope safety factor

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