Journal of Central South University of Technology

, Volume 15, Issue 1, pp 100–105

# Numerical method of slope failure probability based on Bishop model

• Su Yong-hua  (苏永华)
• Zhao Ming-hua  (赵明华)
• Zhang Yue-ying  (张月英)
Article

## Abstract

Based on Bishop’s model and by applying the first and second order mean deviations method, an approximative solution method for the first and second order partial derivatives of functional function was deduced according to numerical analysis theory. After complicated multi-independent variables implicit functional function was simplified to be a single independent variable implicit function and rule of calculating derivative for composite function was combined with principle of the mean deviations method, an approximative solution format of implicit functional function was established through Taylor expansion series and iterative solution approach of reliability degree index was given synchronously. An engineering example was analyzed by the method. The result shows its absolute error is only 0.78% as compared with accurate solution.

## Key words

Bishop mechanical model failure probability of slope mean deviation method implicit function Taylor series dump of open-pit

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## Authors and Affiliations

• Su Yong-hua  (苏永华)
• 1
Email author
• Zhao Ming-hua  (赵明华)
• 1
• Zhang Yue-ying  (张月英)
• 1
1. 1.Institute of Geotechnical EngineeringHunan UniversityChangshaChina