A one-dimensional integral approach to calculating the failure probability of geotechnical engineering structures

作者：Su, Yonghua^*; Fang, Yanbing; Li, Shuai; Su, Ya; Li, Xiang

来源：Computers and Geotechnics, 2017, 90: 85-95.

DOI：10.1016/j.compgeo.2017.05.019

• Geotechnical engineering reliability
• Implicit or unknown performance function
• One-dimensional integral
• Gaussian sampling
• Maximum entropy principle

This study focuses on the geotechnical engineering structures with implicit or unknown expressions of performance functions. A one-dimensional integral approach (ODIA) consisting of sampling, evaluation of statistical moments for multivariable functions, probability density function fitting, and simple integration of failure probability was developed through system integration. A convergence study of an illustrative example was conducted, and the error analysis revealed that the accuracy of ODIA is equivalent to that of the second-order reliability method. Applications of ODIA to a slope and surrounding rock of an excavation were presented to further confirm the accuracy, efficiency, and practicability of the approach.

• 出版日期2017-10
• 单位中南大学; 湖南大学