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根据岩石微元物理力学性能服从随机分布的特点,采用对数正态分布作为岩石微元强度的概率分布模型,结合损伤力学理论和统计强度理论,建立了三轴压缩条件下的岩石损伤本构模型。在此基础上,考虑岩石破裂过程全应力应变曲线的特点,利用多元函数极值理论依据试验曲线的特征参量确定出损伤本构模型参数。与试验结果及前人研究结果比较,该模型形式简单,参数求取容易,能较好地反映岩石内部缺陷分布和变形特征,表征岩石破裂过程的全应力应变关系。
According to the random distribution of physical properties of rocks, the lognormal distribution is used as the probability distribution model of rock micro-strength, and the damage mechanics theory and statistical strength theory are used to establish the rock damage constitutive model under triaxial compression model. On this basis, considering the characteristics of the whole stress-strain curve in the process of rock fracture, the parameters of the damage constitutive model were determined by the multi-function extremum theory according to the characteristic parameters of the test curve. Compared with the experimental results and previous studies, the model is simple in form and easy to find the parameters, which can well reflect the distribution and deformation characteristics of internal defects and characterize the stress-strain relationship of the rock during the fracture process.