基于Griffith理论岩石裂纹扩展的可靠度分析

先将Griffith理论中的强度参数视为随机变量,给出了相应的裂纹扩展概率解析解;然后将荷载和强度参数均视为随机变量,建立了相应的裂纹扩展概率分析模型和计算公式。利用上述两种计算方法分别研究了不同参数的变异性对裂纹扩展概率的影响。结果表明:参数的变异性对裂纹扩展概率的影响不尽相同,其中第一主应力和岩石抗拉强度的变异性对裂纹扩展概率的影响较明显。

RELIABILITY ANALYSIS FOR PROPAGATION OF ROCK CRACK BASED ON GRIFFITH THEORY

The strength parameters in Griffith Theory are taken as random variables and a corresponding analytical solution about the probability of crack propagation is given. A model is developed when both load and strength parameters are taken as random variables. The influences brought about by the variation of the parameters on the probability of crack propagation are discussed by using of the two methods mentioned above. The analytical results show that the influences on the probability of crack propagation caused by the variation of the parameters are different. The influences caused by the variation of the first principal stress and tensile strength are obvious, on which more attention should be paid.