岩石边坡稳定性的随机损伤力学分析

Stability analysis of rock slope based on random damage mechanics

本文通过岩石样品裂纹产状的统计观测信息,用Monte Carlo方法模拟岩石的随机损伤状态,发现岩石的损伤变量满足β概率分布。因此,可根据检测损伤岩石有效弹性模量的统计值来估计随机损伤变量的均值和标准差。岩石的Mohr Coulomb有效抗剪强度参数用岩石损伤状态的函数表达,据此,给出一种用有效应力、孔隙水压力和损伤状态变量表示的岩石损伤破坏准则,并将该准则应用于岩石边坡失稳的概率分析。

Based on the investigation on statistical characteristics of cracks in rock specimens, the random damage of rock is simulated by means of Monte-Carlo Method. It is found that the probabilistic distribution of random damage variables accord with β distribution. The mean and standard deviation of damage variables can be estimated according to the statistical data of effective modulus obtained from test for damaged rock. The effective Mohr-Coulomb shear strength parameters of the damaged rock can be expressed as a function describing the damage state. On this basis, the failure criterion of damaged rock mass expressed by the effective stress, pore pressure and damage state variables is proposed. This criterion can be used to evaluate the probability and reliability of rock slope stability due to random damage.