This work is devoted to modeling plastic deformation and microcrack-induced damage in quasi-brittle rocks under compression-dominating stresses. At the microscopic scale, a set of randomly distributed microcracks are embedded in an isotropic elastic–plastic solid matrix. The plastic deformation, microcrack propagation and frictional sliding are inherently coupled. By combining a rigorous homogenization procedure and thermodynamics framework, the frictional sliding along microcracks is described by a specific Coulomb-type criterion but as a function of the local stress field. The microcrack growth is driven by the conjugate thermodynamic force, which is directly related to the frictional sliding. The plastic deformation of solid matrix is described by a simple pressure dependent linear yield criterion and an associate flow rule, but affected by the microcrack-induced damage. A robust and efficient iterative algorithm is then proposed for numerical implementation of the coupled plastic–damage–friction model. This one is applied to studying mechanical responses of three typical rocks. Compared with experimental data, the efficiency of the proposed model is evaluated and its advantages with respect to previous models are outlined.

中文翻译：

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基于微力学的岩石模型，在塑性固体基质中表现出微裂纹引起的损伤

这项工作致力于模拟压缩主导应力下准脆性岩石的塑性变形和微裂纹引起的损伤。在微观尺度上，一组随机分布的微裂纹嵌入各向同性的弹塑性固体基体中。塑性变形、微裂纹扩展和摩擦滑动本质上是耦合的。通过结合严格的均质化程序和热力学框架，沿微裂纹的摩擦滑动由特定的库仑型准则描述，但作为局部应力场的函数。微裂纹扩展是由共轭热力学力驱动的，与摩擦滑动直接相关。固体基体的塑性变形由简单的压力相关线性屈服准则和相关的流动规则来描述，但受到微裂纹引起的损伤的影响。然后提出了一种稳健且高效的迭代算法，用于耦合塑性损伤摩擦模型的数值实现。该模型适用于研究三种典型岩石的力学响应。与实验数据相比，评估了所提出模型的效率，并概述了其相对于先前模型的优势。