CFRP布侧向约束刚度对轴压煤圆柱宏细观力学性质的影响

Impact of lateral confinement stiffness of CFRP sheets on macro-meso mechanical properties of axially compressed coal cylinders

  • 摘要: 为研究碳纤维增强复合材料(Carbon Fiber Reinforced Polymer, CFRP)布侧向约束刚度对轴压煤圆柱宏细观力学性质的影响,利用WDW-300型万能试验机,开展了普通煤圆柱与单层CFRP布约束煤圆柱的单轴压缩试验。基于PFC3D−FLAC3D耦合模拟方法,建立了CFRP布约束煤圆柱的连续−非连续耦合数值模型,并通过单轴压缩试验验证了模型的有效性。基于此,进一步研究了CFRP布侧向约束刚度对轴压煤圆柱特征应力、法向接触力组构及裂纹演化的影响。结果表明:峰值应力随侧向约束刚度的增加呈负指数函数增长;随侧向约束刚度的提高,法向接触力组构的各向异性逐渐减弱,法向接触力差异呈负指数衰减趋势;裂纹数量随轴向应变的增加呈“S”形贝塞尔函数增长,峰后失稳阶段,当约束刚度小于0.95 GPa时,破坏以剪切裂纹为主,反之则以拉伸裂纹为主;提出了一种基于裂纹数随时步二阶差分确定屈服应力的新方法,通过分析裂纹数生成速率的变化,确定屈服应力集中分布在82.54%~89.85%水平,且其演化规律与峰值应力一致。研究结果可为CFRP材料在采空区遗留煤柱加固工程中的应用提供理论参考。

     

    Abstract: To investigate the influence of lateral confinement stiffness of Carbon Fiber Reinforced Polymer (CFRP) sheets on the macro- and meso-mechanical properties of axially compressed coal cylinders, uniaxial compression tests were conducted on both plain coal cylinders and coal cylinders confined with a single layer of CFRP sheet using a WDW-300 universal testing machine. A continuum-discontinuum coupled numerical model for CFRP-confined coal cylinders was established based on the PFC3D−FLAC3D coupling simulation method, and its validity was verified through uniaxial compression tests. Based on this, the effects of lateral confinement stiffness of CFRP sheets on the characteristic stress, normal contact force fabric, and crack evolution of axially compressed coal cylinders were further investigated. The results indicate that: The peak stress increases with lateral confinement stiffness following a negative exponential function. As the lateral confinement stiffness increases, the anisotropy of the normal contact force fabric gradually weakens, and the differences in normal contact forces exhibit a negative exponential decay trend. The number of cracks increases with axial strain following an S-shaped Bessel function. In the post-peak instability stage, failure is dominated by shear cracks when the confinement stiffness is below 0.95 GPa, whereas tensile cracks prevail at higher stiffness levels. A new method for determining the yield stress, based on the second-order difference of the crack number with respect to time steps, was proposed. By analyzing the variation in the crack generation rate, it was found that the yield stress is concentrated between 82.54% and 89.85% of the peak stress level, and its evolution pattern is consistent with that of the peak stress. The findings provide theoretical insights for the application of CFRP materials in reinforcing abandoned coal pillars in goaf areas.

     

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