International Journal of Rock Mechanics and Mining Sciences ( IF 7.0 ) Pub Date : 2022-11-12 , DOI: 10.1016/j.ijrmms.2022.105261 Meng Fu , Gao-Feng Zhao
In this work, a micro-macro mechanics-based constitutive model is developed to describe the compressive failure process of rock. A micromechanics model is first developed based on the conceptual model of a micro cracked spring bond, where two micro parameters with clearly geometric meanings are introduced. By using the micromechanics model, it is possible to reproduce the whole nonlinear failure process of the rock under compressive loading, however, it fails to predict the reasonable quantitative relation between the crack initiation stress () and the direct tensile strength (DTS) that is commonly observed in laboratory tests. Therefore, a macroscopic failure criterion is introduced to determine the failure state of the spring bond instead of the spring deformation used in the micromechanics model. The numerical results indicate that the 4D-LSM with the micro-macro constitutive model can not only fully reproduce the whole nonlinear behavior of rock under different confining pressures, but also reproduce the quantitative relation between and the DTS and the overall macroscopic nonlinear failure strength criterion defined by Hoek and Brown. The micro-macro constitutive model not only provides a feasible solution for better describing the complex nonlinear compressive failure process of rock but helps to better understand the internal failure mechanism of rock.
中文翻译:
基于4D晶格弹簧模型的岩石压缩破坏微观宏观本构模型
在这项工作中,建立了一个基于微观宏观力学的本构模型来描述岩石的压缩破坏过程。首先基于微裂纹弹簧键的概念模型开发了微力学模型,其中引入了两个具有明确几何意义的微观参数。使用微力学模型可以再现岩石在压缩载荷作用下的整个非线性破坏过程,但无法预测裂纹起始应力之间的合理定量关系() 和在实验室测试中通常观察到的直接拉伸强度 (DTS)。因此,引入宏观失效准则来确定弹簧键的失效状态,而不是微观力学模型中使用的弹簧变形。数值结果表明,采用微宏观本构模型的 4D-LSM 不仅可以完整再现岩石在不同围压下的整体非线性行为,而且可以再现岩石之间的定量关系。以及由 Hoek 和 Brown 定义的 DTS 和整体宏观非线性破坏强度准则。微观宏观本构模型不仅为更好地描述岩石复杂的非线性压缩破坏过程提供了可行的解决方案,而且有助于更好地理解岩石的内部破坏机制。