在现有新型岩石损伤模型研究基础上,首先,利用岩石微元强度服从正态分布的规律与岩石损伤的能量原理建立能反映特定围压下岩石应变软化或硬化变形全过程的损伤统计本构模型;其次,通过研究特定围压下岩石应力应变全曲线的特征及其在不同围压下特征参数(峰值点强度与应变)之间的关系,建立岩石损伤软硬化统计本构模型参数的确定方法,从而建立能充分反映不同围压下岩石应变软硬化变形全过程的统一损伤软硬化统计本构模型,该模型具有参数少、易于确定和能同时反映岩石应变软硬化特性的特点,并且模型参数确定方法揭示了模型参数的物理意义。理论与试验结果的比较分析表明了本文模型的合理性。
Based on an existing new damage model for rock, firstly, according to the law that micro-unit strength of rock was in accordance with normal distribution and the energy theory of damage for rock, a statistical constitutive model for softening and hardening damage of rock under the specific confining pressure that could simulate the full stress-strain process reflecting the characteristic of strain softening and hardening for rock was established. Secondly, by discussing the characteristics of the full stress-strain curve of rock under the specific confining pressure and the relationship between the characteristic parameters (the stress and strain at the peak-stress point), the way for determining the parameters of the constitutive model was set up, and then, a unified statistical constitutive model for softening, and hardening damage of rock was developed, which could adequately reflect the full stress-strain process of softening and hardening for rock. There were few parameters in the model and they were easy to be determined, and the present model could synchronously reflect the characteristics of strain softening or hardening of rock, moreover, the way of determining the parameters indicated the physical meaning of the parameters of model. Finally, The rationality of the proposed model was demonstrated with comparative analysis between theoretical and experimental results.