低围压双向压缩条件下竖直裂纹扩展机制研究
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1.中国矿业大学(北京);2.中国科学院武汉岩土力学研究所

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Study on The Mechanism of Vertical Crack Propagation under Low Confining Pressure Biaxial Compression
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China University of Mining and Technology, Beijing

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    摘要:

    地下洞室开挖等岩石工程中围岩通常处于双向压缩应力状态下,研究此应力状态下裂纹扩展具有现实意义。以低围压三向受压或单轴压缩条件下含竖直裂纹的岩体试样为研究对象,通过数值模拟的方式分析不同泊松比和裂纹迹长条件下远端轴向压应力和裂纹尖端应力的分布规律。基于叠加原理得到双向压缩条件下竖直裂纹/翼裂纹尖端近场应力的表达式,并提出该应力状态下裂纹岩体试样的应力强度因子及裂纹扩展方向。结果表明:存在远端轴向压应力时,泊松比和裂纹迹长对裂纹尖端应力分布规律有明显影响。裂纹尖端应力与平行于裂纹面的轴向压应力的比值与泊松比成一次函数关系,与裂纹迹长成三次函数关系。

    Abstract:

    The surrounding rock in rock engineering such as underground cavern excavation is usually in a state of bidirectional compressive stress. It is of practical significance to study the crack propagation under this stress state. Taking the rock mass samples with vertical cracks under low confining pressure triaxial compression or uniaxial compression as the research object, the distribution law of distal axial compressive stress and crack tip stress under different Poisson 's ratio ? and crack trace length a is analysed by numerical simulation. Based on the superposition principle, the expression of near-field stress at the tip of vertical crack / wing crack under biaxial compression is obtained, and the stress intensity factor and crack propagation direction of cracked rock mass specimen under this stress state are proposed. The results show that Poisson 's ratio and crack trace length a have a significant effect on the stress distribution at the crack tip when there is a distal axial compressive stress. The ratio of the stress at the crack tip to the axial compressive stress parallel to the crack surface has a linear function relationship with the Poisson 's ratio and a cubic function relationship with the crack trace length.

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历史
  • 收稿日期:2023-03-08
  • 最后修改日期:2023-03-22
  • 录用日期:2023-03-23
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