Abstract:In order to construct the reliability discriminant of Mohr-Coulomb strength criterion,it is essential to study the probability distribution of shear strength parameters. Based on normal information diffusion principle,a probability model deduction method of shear strength parameters with small sample size is presented. Considering that the sample size of rock shear strength parameters is small in general,the testing data of rock uniaxial and triaxial compression were regarded as basic information,and information base of shear strength parameters with small size was constructed according to the permutation and combination theory. And the sample data of cohesion c,internal friction angle φ and friction coefficient f were also obtained using robust regression estimation method. Finally,based on the normal information diffusion theory,the probability distribution functions of c,φ and f were deduced. K-S test method was used to compare the results of traditional fitting-test method and presented method. The results show that the probability distribution of shear strength parameters based on normal information diffusion principle is more close to the actual probability distribution. Whether in terms of test value and the cumulative probability,the results of presented method are better than those of the traditional fitting-test method.
宫凤强,侯尚骞,岩小明. 基于正态信息扩散原理的Mohr-Coulomb强度准则参数概率模型推断方法[J]. 岩石力学与工程学报, 2013, 32(11): 2225-2234.
GONG Fengqiang,HOU Shangqian,YAN Xiaoming. PROBABILITY MODEL DEDUCTION METHOD OF MOHR-COULOMB CRITERIA PARAMETERS BASED ON NORMAL INFORMATION DIFFUSION PRINCIPLE. , 2013, 32(11): 2225-2234.