考虑节理裂隙尺寸与方位分布的岩石统计损伤本构模型研究  

Study on statistical damage constitutive model for rocks considering length and occurrence distribution of joint fissures

作　　者：惠鑫[1,2] 马凤山[1,2] 徐嘉谟[1,2] 郭捷[1,2] 

机构地区：[1]中国科学院地质与地球物理研究所页岩气与地质工程重点实验室,北京100029 [2]中国科学院大学,北京100049

出　　处：《岩石力学与工程学报》2017年第A01期3233-3238,共6页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金资助项目(41372323;41372325);中国科学院战略性先导科技专项(B类)资助项目(XDB10030602)~~

摘　　要：为建立细观损伤与岩石宏观变形之间的定量关系,基于岩石强度的Weibull概率分布特征,结合损伤力学理论、统计强度理论与分形理论,考虑节理裂隙尺寸为分形分布和方位为正态分布的情况,建立岩石统计损伤本构模型和损伤演化方程,分析了损伤演化途径。给出与裂隙尺寸、尺寸分形维数和产状相关的本构模型参数,讨论了模型参数的物理意义和影响因素。结合前人试验测试结果加以验证,分析了统计损伤本构模型的合理性与不足之处。To establish the relationship between macroscopic deformation and mesoscopic structure defects, a statistical damage constitutive model for rocks is derived, using damage mechanics theory together with fractal theory and statistical mesoscopic strength theory based on the Weibull distribution. In statistical constitutive modeling, the fractal distribution of fissure size and normal distribution of occurrence are considered, the damage evolution equation and evolution mode are put forward. Model parameters related to fissure size, fractal dimension, and occurrence are derived, also the physical significance and influencing factors are analyzed. The constitutive model is verified by triaxial experiments on rock specimens which are made of similar simulation materials, its rationality and deficiency are also discussed.

关 键 词：岩石力学 节理裂隙 损伤 分形 统计强度 本构模型 损伤演化 

分 类 号：TU45[建筑科学—岩土工程]