The shear constitutive model of rock joints is of great significance to the stability analysis in rock engineering, and it is closely related to the normal stress ([Formula: see text]) and joint roughness coefficient ( JRC). However, the existing investigations seldom consider the influences of [Formula: see text] and JRC simultaneously. Therefore, a novel damage constitutive model considering the [Formula: see text] and JRC is developed in this work. In the presented model, it is assumed that the rock materials are composed of damaged and undamaged microunits, and the damage evolution law of the microunits conforms to the Weibull distribution in the shear process. Based on the proposed assumption, the constitutive relationship between shear stress and shear displacement is deduced. The evolutions of the mechanical parameters and damage variable versus [Formula: see text] and JRC are analyzed in detail. The proposed damage model that involves [Formula: see text] and JRC is verified by comparing theoretical values with the laboratory results. The results show that the damage constitutive model is in good agreement with the test results. Additionally, the influences of [Formula: see text] and JRC on the shear stress-displacement curves are studied. This work can provide a valuable theoretical method for analyzing the shear mechanical characteristics and damage evolution laws of rock joints.

中文翻译：

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考虑正应力和节理粗糙度的岩石节理统计损伤本构模型


岩石节理的剪切本构模型对于岩石工程的稳定性分析具有重要意义，它与正应力（[公式：见正文]）和节理粗糙度系数（JRC）密切相关。然而，现有的研究很少同时考虑[公式：见正文]和JRC的影响。因此，本文开发了一种考虑[公式：见正文]和JRC的新型损伤本构模型。该模型假设岩石材料由损伤和未损伤的微单元组成，剪切过程中微单元的损伤演化规律符合Weibull分布。基于所提出的假设，推导了剪应力和剪切位移之间的本构关系。详细分析了机械参数和损伤变量相对于[公式：见正文]和 JRC 的演变。通过将理论值与实验室结果进行比较，验证了所提出的涉及[公式：见正文]和JRC的损伤模型。结果表明，损伤本构模型与试验结果吻合较好。此外，还研究了[公式：见正文]和JRC对剪应力-位移曲线的影响。该工作可为分析岩石节理剪切力学特性和损伤演化规律提供有价值的理论方法。