基于Weibull分布的岩石损伤本构模型研究

利用连续损伤理论和统计强度理论,提出了模拟岩石破裂全过程的损伤本构关系,并在此基础上建立了完整的损伤统计本构模型,且在所建立的损伤统计本构模型的四个基本方程中,引入岩石应力应变全过程曲线特征参量,并考虑岩石应力应变全过程曲线的几何条件,解决了传统方法求解本构方程中参数的难点,同时提高了精度.通过与砂岩试件三轴压缩试验实测结果对比,证明模型可以很好地反映岩石的应力-应变关系.图2,参7.

Study on Damages Constitutive Model of Rocks Based on Weibull Distributing

Using continuum damage theory and the statistical approaches of strength, the damages constitutive relations was proposed that simulate entire process of rock breaking, and the integrated damages constitutive model was established, in four fundamental equations of the damages constitutive model, characteristic parameters of the rocks stress-strain entire process curve were introduced, and the geometry condition of rocks stress-strain entire process curve was considered, difficulty of the traditional method to solve the parameter of the constitutive equation has solved, at the same time the precision was increased. Contrast with triaxial compression test result, it shows that this model correctly reflects the relation of stress-strain. 2figs.,7refs.