Simulations of crack propagation in rock-like materials by peridynamics based on SED criterion
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摘要: 在近场动力学理论的基础上,引入反应岩石类材料破坏特性的应变能密度（SED）准则,同时利用服从Weibull分布的临界破坏条件来描述岩石的异质性,弥补了近场动力学方法在模拟岩石类材料裂纹扩展时无法反应岩石应变软化特性及异质性的不足。利用基于SED准则的近场动力学方法模拟了含有不同倾角单裂纹岩石在单轴压缩条件下的裂纹扩展过程,分析了翼型裂纹、次生共面剪切裂纹及反翼型裂纹扩展的机理。利用提出的方法模拟了含双平行裂纹岩石在单轴压缩条件下的裂纹扩展过程,结果表明预制双平行裂纹岩石破坏可分为3个阶段：翼型裂纹第一次贯通；剪切裂纹第二次贯通形成闭合的破坏环；剪切裂纹形成宏观裂纹引发破坏。最后将本文模拟的结果与前人室内试验及数值模拟的结果对比,以验证方法的有效性,通过对比发现提出的理论可较好的模拟岩石类材料裂纹扩展的过程有着很好的应用前景。Abstract: Based on the peridynamic theory, the strain energy density (SED) criterion is introduced to reflect the failure characteristics of rock-like materials. At the same time, the critical failure condition obeying the Weibull distribution is used to describe the heterogeneity of rock, which makes up for the deficiency that the peridynamic method cannot reflect the strain-softening characteristics and heterogeneity of rock when simulating the crack propagation of rock materials. The peridynamic method based on the SED criterion is used to simulate the crack propagation process of rock with single crack with different dip angles under uniaxial compression. The propagation mechanisms of airfoil cracks, secondary coplanar shear cracks and anti-airfoil cracks are analyzed. The proposed method is used to simulate the crack propagation process of rock with double parallel cracks under uniaxial compression. The results show that the failure process of rock with double parallel cracks can be divided into three stages: the first penetration of airfoil cracks, the second penetration of shear cracks to form a closed failure ring, and the formation of macro-cracks leading to failure. Finally, the simulated results are compared with those of the previous laboratory tests and numerical simulations to verify the effectiveness of this method. Through comparison, it is found that the proposed theory can better simulate the process of crack propagation of rock materials and has a good application prospect.
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Keywords:
- rock mechanics /
- peridynamics /
- crack propagation /
- SED criterion
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图 10 不同倾角裂纹扩展结果对比
Figure 10. Comparison of crack growth results with different inclination angles
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