用改进的JC方法分析三维Hoek-Brown准则的可靠度

选用工程中广泛应用的Ｈｏｅｋ－Ｂｒｏｗｎ强度准则作为极限状态函数，将方程中的六个变量：即主应力分量σ１、σ２、σ３；岩块单轴抗中度σＣ和岩石参数ｍ，ｓ作为其随机变量，采用改进的ＪＣ方法三岩体经度准则的可靠度指标β。由于三维Ｈｏｅｋ－Ｂｒｏｎ准则方程所表现出来的高次非线性和复杂性，文中利用复合函数求导法则直接针对随机变量求解可靠度指标和相应的验算应值，并进行了参数相关及不同概型情况下三维Ｈｏｅｋ－Ｂ

Reliability Analysis of 3D Hoek-Brown Criterion by the Improved JC Method

In this paper, Hoek Brown strength criterion which is widely used in geotechnical mechanics is employed as a limit state function, six variables of the criterion are taken as the basic random variables, an improved JC method is used to calculate the reliability index of the criterion. Because of the complexity and high order nonlinearity of the criterion, a derivative method for compound function is used to obtain reliability index of the criterion and the values of basic random variables at the test point. As a comparison, the reliability indexes of the criterion with different probability distribution of the basic random variables are calculated and the correlation between the basic variables are also considered.