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结合连续损伤理论和统计损伤理论,从岩石内部缺陷分布的随机性出发,提出了一种新的岩石微元强度概率密度分布函数—改进的Harris函数,建立了基于改进Harris分布的岩石损伤统计本构模型,并分别用曲线拟合法和多元函数求极值法确定了模型参数,最后用试验数据对模型进行了验证。结果表明:该模型理论曲线与试验曲线吻合良好,能够较好的反映岩石在三维应力状态下的应力—应变关系和破坏全过程,特别是岩石的应变软化特性和峰值强度随围压增加而增大的特性,从而说明了模型的合理性和可行性。
Combining the theory of continuous damage and the theory of statistical damage, this paper proposes a new probability density distribution function of rock micro-strength-modified Harris function based on the randomness of internal defect distribution in rock, and establishes the rock damage statistics based on improved Harris distribution The model parameters were determined by curve fitting method and multivariate function respectively. Finally, the experimental data were used to verify the model. The results show that the theoretical curve of the model is in good agreement with the experimental curve and can well reflect the stress-strain relationship and failure process of the rock in three-dimensional stress state. Especially, the strain softening property and peak strength of the rock increase with the increase of confining pressure Large features, which shows the rationality and feasibility of the model.