随机微裂纹对岩石宏观裂纹扩展的影响规律研究

EFFECT OF RANDOM MICROCRACKS ON MACROSCOPIC CRACK PROPAGATION IN ROCK

  • 摘要: 岩石微裂纹控制着岩石的宏观力学特性和破裂行为,其分布具有不确定性。现有关于岩石裂纹扩展的研究侧重于确定性裂纹扩展规律研究,而随机微裂纹的影响研究不足。该文基于键型近场动力学(Peridynamics, PD)理论,引入随机分布函数预设微裂纹的几何、位置随机参数,对预设有宏观裂纹和随机微裂纹的岩石构件拉伸破坏过程进行大规模蒙特卡洛模拟,提出了物质点断裂失效概率因子(PFP)来描述物质点的破坏概率,揭示了随机微裂纹对岩石拉伸宏观裂纹扩展的影响规律。通过分析两个经典算例,分别与FEM和XFEM对比,其结果有较强的一致性。另外,该文引入了含宏观裂纹与微裂纹的岩石构件,根据微裂纹的位置、角度和长度随机分布,首次绘制不同情况下随机裂纹的PFP云图,获得了各参数对裂纹扩展的影响规律。该文首创了物质点断裂失效概率因子,定量描述微裂纹对宏观裂纹扩展的影响规律,为预测含随机微裂纹的岩石裂纹扩展研究提供了一种新思路新方法。

     

    Abstract: Microcracks control the macroscopic mechanical properties and fracture behavior of rock, and their distribution is uncertain. Existing researches on rock crack growth focus on deterministic crack growth law, with the influence of random microcracks insufficiently accounted for. Based on the theory of Peridynamics (PD), random distribution function is introduced to preset the geometric and positional parameters of microcracks, and a large-scale Monte Carlo simulation is conducted on the tensile failure process of rock components with macro cracks and random microcracks. The failure probability factor of material point (PFP) is proposed to describe the failure probability of material points, and the influence law of random microcracks on tensile macroscopic crack propagation of rock is revealed. By analyzing two classical examples, the results are found to be consistent with FEM and XFEM. In addition, rock components containing macro cracks and micro cracks are introduced in this paper. According to the random distributions of the position, angle, and length of micro cracks, PFP cloud images under different conditions are drawn for the first time. The influence law of each parameter on crack development is obtained. In this paper, the failure probability factor of material point fracture is first developed to quantitatively describe the effect of microcracks on macroscopic cracks propagation, which provides a new idea and method for predicting the crack propagation of rock containing random microcracks.

     

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