基于正态分布的岩石损伤统计本构模型及其参数确定方法研究

根据岩石微元强度服从正态分布的特点,引进能合理描述岩石微元强度的参量,基于岩石三轴应力应变试验曲线建立了反映岩石破裂全过程的统计损伤本构模型。在此基础上,重点探讨了正态分布参数对岩石损伤本构模型的影响,据此对岩石统计损伤模型进行了合理修正,从而建立了反映岩石破裂全过程的三维统计损伤本构模型,与试验结果及现有研究结果进行比较显示了该模型的合理性,具有广泛的应用前景。

On statistical damage constitutive model and its parameters for rock based on normal distribution

Based on the characteristics that the failure of rock micro-unit accorded with normal distribution, this paper developed a statistical damage constitutive model reflecting the full process of rock failure by using the stress-strain curve of rock and introducing into the parameter that can rationally describe the micro-unit strength of rock. Moreover, the effect of the parameters of normal distribution on the statistical damage constitutive model had been probed,and the statistical damage constitutive model for rock was modified in reason and sequentially the three-dimensional statistical damage constitutive model reflecting the full process of rock failure was established and showed the rationality of the model compared with its test and research results inexistence, and it would have a vast range of applied prospects.