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岩石本构关系问题一直是岩石力学研究的重点问题,基于损伤力学理论,假设岩石的损伤变量分别服从幂函数分布与正态分布,建立考虑中主应力影响的模型,总结参数规律。通过两种分布函数所建立的岩石统计损伤软化本构模型与试验结果对比,以及分析损伤变量D的数值变化探讨模型适用性,研究表明:建立的模型曲线均能够较为理想地与实验曲线吻合,与岩石材料的力学性质基本吻合。而正态分布函数模型较幂函数分布模型的损伤变量D演化趋势更为合理。
Based on the theory of damage mechanics, it is assumed that the damage variables of rock are subject to power function distribution and normal distribution, and the model considering the influence of principal stress is established, and the law of parameters is summarized. By comparing the statistic damage softening constitutive model of rock with the test results established by the two distribution functions and analyzing the numerical change of the damage variable D, the applicability of the model is discussed. The results show that the established model curves can all fit the experimental curve ideally, And the mechanical properties of rock materials basically consistent. While the normal distribution function model is more reasonable than the D function evolution model of power function distribution model.