The whole shear deformation of rock joints significantly affects the long-term behavior and safety of engineering projects. In this paper, a new damage constitutive model related to the Weibull distribution and statistical damage theory is proposed. This model considers the shear stiffness degradation, post-peak softening, and residual phase of rock joints in the whole shearing process. Main works include the three following aspects: First, the phase of initial damage is determined on the assumption that the joint shear failure is regarded as a result of damage evolution, according to the typical joint shear curve and the three-parameter Weibull distribution. Then, a statistical damage evolution model for the whole joint shearing process is introduced to make this model be capable of describing the residual phase of rock joints. Finally, a statistical constitutive model for the whole joint shearing process is proposed by statistical damage theory, and the calculated results of the models are compared to the experimental results. The results indicate that the proposed model shows a good agreement with the experimental examples, and the proposed model can distinctly reflect the effects of residual stress, peak stress, and shear stiffness. In addition, the model parameters can be mathematically confirmed and have distinct physical meanings.

中文翻译：

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考虑全节点剪切变形的统计损伤本构模型

岩石节理的整体剪切变形显着影响工程项目的长期行为和安全。本文提出了一种与威布尔分布和统计损伤理论相关的新型损伤本构模型。该模型考虑了整个剪切过程中岩石节理的剪切刚度退化、峰后软化和残余相。主要工作包括以下三个方面：首先，根据典型节点剪切曲线和三参数威布尔分布，假设节点剪切破坏是损伤演化的结果，确定初始损伤阶段。然后，引入了整个节理剪切过程的统计损伤演化模型，使该模型能够描述岩石节理的残余相。最后，利用统计损伤理论提出了整个关节剪切过程的统计本构模型，并将模型计算结果与实验结果进行了比较。结果表明，所提出的模型与实验实例具有较好的一致性，所提出的模型能够清晰地反映残余应力、峰值应力和剪切刚度的影响。此外，模型参数可以通过数学方式确认，具有不同的物理意义。并且所提出的模型可以清楚地反映残余应力、峰值应力和剪切刚度的影响。此外，模型参数可以通过数学方式确认，具有不同的物理意义。并且所提出的模型可以清楚地反映残余应力、峰值应力和剪切刚度的影响。此外，模型参数可以通过数学方式确认，具有不同的物理意义。