Simulation of the failure process of non-intact rock containing initial cracks, voids, and other discontinuities is a research hotspot in rock mechanics and geotechnical engineering. The damage smear method has attracted wide attention due to its ability to realistically depict the complete failure processes of rock from the microscopic to the macroscopic scale. However, when portraying pre-existed discontinuities, the damage smear method suffers from major difficulties such as mesh dependency and stress singularity. To overcome the limitations of current methodology, this paper proposes a novel non-break modeling strategy inspired by the extended finite element method for dealing with embedded discontinuities, in which the discontinuity of the physical fields across crack faces or the void boundary, as well as the stress singularity at the crack tip, can be characterized by introducing appropriate enrichment functions, and the penalty method is used to impose frictional contact constraints. Applications of the combined method of the improved modeling strategy and damage smear analysis to laboratory-scale and engineering-scale numerical examples show a satisfactory approximation with the analytical solution or experimental observations, indicating that the current modeling strategy can further improve computational accuracy while retaining the advantages of the damage smear method.

中文翻译：

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非完整岩石破坏过程的无损建模与数值模拟

含有初始裂纹、空隙和其他不连续性的非完整岩石破坏过程的模拟是岩石力学和岩土工程的研究热点。损伤涂抹法因其能够从微观到宏观真实地描绘岩石的完整破坏过程而受到广泛关注。然而，在描绘预先存在的不连续性时，损伤涂抹法面临着网格依赖性和应力奇异性等重大困难。为了克服当前方法的局限性，本文提出了一种新颖的不间断建模策略，其灵感来自于处理嵌入式不连续性的扩展有限元方法，其中跨裂纹面或空隙边界的物理场的不连续性，以及裂纹尖端的应力奇异性可以通过引入适当的富集函数来表征，并使用惩罚方法施加摩擦接触约束。将改进的建模策略和损伤涂片分析相结合的方法应用于实验室规模和工程规模的数值实例，显示出与解析解或实验观察结果的令人满意的近似，表明当前的建模策略可以在保留计算精度的同时进一步提高计算精度。损伤涂片法的优点