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根据连续损伤理论和统计强度理论,从岩石材料内部包含大量随机分布的微裂隙等缺陷的特点出发,采用修正的Harris函数作为岩石损伤参量的数学模型,并结合Hoek-Brown准则建立能反映岩石破裂全过程的损伤本构模型。通过引入损伤系数J,较好地反映了岩石的渐进破坏特性,也在一定程度上表征了这种准脆性材料的非均匀性和各向异性。利用多元函数极值理论,并依据试验曲线的特征参量,确定出损伤本构模型参数,最后用试验数据对模型进行了验证。通过比较分析说明了该模型的合理性和可行性,在此基础上,探讨了相关参数对理论曲线与试验曲线吻合程度的影响,从而对实际工程具有一定的参考价值。
According to the theory of continuous damage and statistical strength, the modified Harris function is used as the mathematical model of rock damage parameters based on the characteristics of a large number of randomly distributed micro-cracks in the rock material. The Hoek-Brown criterion is used to establish a model that can reflect the rock failure The whole process of damage constitutive model. By introducing the damage factor J, the gradual failure characteristics of the rock are well reflected, and to a certain extent, the heterogeneity and anisotropy of the quasi-fragile material are also characterized. Based on the extremum theory of multivariate function, the parameters of damage constitutive model were determined according to the characteristic parameters of the test curve. Finally, the experimental data were used to verify the model. Through the comparative analysis, the rationality and feasibility of the model are demonstrated. Based on this, the influence of the relevant parameters on the coincidence degree between the theoretical curve and the experimental curve is discussed, which is of certain reference value to the actual project.