Accurately understanding and predicting the progressive failure behavior of rock is crucial in rock engineering. In this study, a new microplane prediction model characterized by the intrinsic properties of the traction vector is proposed to describe the rock's multi-scale behavior, anisotropy, and the microscopic tensile and compressive-shear failure effects based on a physical foundation. Under the thermodynamic consistency framework, the microplane's free energy and state equations are derived to determine the elastic, plastic, and damage properties of a single microplane. Damage and plastic yield criteria are innovatively established according to the traction's tensile and compressive-shear effects on the rock's failure behavior. A novel efficient implicit return mapping algorithm is proposed. A nonlinear constitutive equation at the macroscopic scale is derived. The proposed theoretical model is developed to obtain the stress-strain curves and anisotropic damage evolutions of rock under tensile, compressive, and shear stress. The microplane configurations are visualized to analyze the relationship between the anisotropic microscopic damage mechanism and the macroscopic failure characteristics. The simulated and experimental results are in good agreement, indicating that the model accurately describes the multi-scale failure of the rock specimen under different stress paths.

中文翻译：

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基于牵引力的微平面模型，用于表征岩石状材料的渐进破坏


准确理解和预测岩石的渐进式破坏行为在岩石工程中至关重要。本研究提出了一种新的以牵引矢量的内在特性为特征的微平面预测模型，以描述岩石的多尺度行为、各向异性以及基于物理基础的微观拉伸和压缩剪切破坏效应。在热力学一致性框架下，推导了微平面的自由能和状态方程，以确定单个微平面的弹性、塑性和损伤特性。损伤和塑性屈服标准是根据牵引力对岩石破坏行为的拉伸和压缩剪切影响创新地建立的。该文提出一种新的高效隐式返回映射算法。推导了宏观尺度上的非线性本构方程。该理论模型旨在得到岩石在拉伸、压缩和剪切应力作用下的应力-应变曲线和各向异性损伤演变。将微平面构型可视化，以分析各向异性微观损伤机制与宏观破坏特征之间的关系。模拟结果与试验结果吻合较好，表明该模型准确描述了不同应力路径下岩石试件的多尺度破坏。