Numerical method of slope failure probability based on Bishop model

• 作 者: SU Yong-hua ZHAO Ming-hua ZHANG Yue-ying
• 机 构: Institute of Geotechnical Engineering, Hunan University, Changsha 410082, China
• 出 处: 中南工业大学学报（英文版）
• 发表日期: 2008年1期
• 关键词: Bishop mechanical model failure probability of slope mean deviation method impli

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.