ISSN 1003-8035 CN 11-2852/P

    含不同圆形孔洞数的灰岩力学特性与破坏模式研究

    Study on mechanical properties and failure modes of limestone containing different numbers of circular holes

    • 摘要: 岩溶损伤是控制灰岩斜坡失稳的关键内在诱因。为深入揭示含孔洞灰岩的力学响应特征与破坏机理,开展本研究。本研究采用物理试验与数值模拟相结合的多尺度研究方法,通过单轴压缩试验与PFC3D离散元模拟,定量分析了不同圆形孔洞数量(1~4个)及空间排列方式(横向/竖向)对灰岩力学性能、劣化规律及破坏模式的耦合作用机制。研究表明:(1)建立了圆形孔洞数量与峰值强度的非线性衰减模型,揭示了不同排列方式下的强度劣化规律:横向排列试件的峰值强度、弹性模量及峰值应变呈现指数型衰减特征,而竖向排列试件则表现为线性递减模式,其中横向排列对强度参数的劣化效应较竖向排列显著提升37.2%;(2)基于数字图像相关技术与PFC3D模拟,系统揭示了裂纹扩展的演化规律,发现单孔试件呈现典型对角剪切破坏,而多孔试件(n≥2)则演变为竖向贯通式劈裂破坏,验证了圆形孔洞空间构型对破坏模式的定向控制作用;(3)基于离散元数值反演,定量表征了裂纹起裂应力的孔洞效应,当圆形孔洞数量从1增至4时,起裂应力由166.86 MPa显著降低至154.32 MPa,降幅达12.5%。研究成果为岩溶区工程岩体稳定性评价及地质灾害防控提供了理论依据和技术支撑。

       

      Abstract: Karst-included damage is a key intrinsic factor controlling the instability of limestone slopes. This study aims to systematically investigate the mechanical response characteristics and failure mechanisms of porous limestone. A multi-scale research framework integrating physical experiments and numerical simulations was adopted. Uniaxial compression tests and PFC3D discrete element modeling were conducted to quantitatively analyzes the coupled effects of the number of circular holes (1-4) and their spatial arrangement (horizontal/vertical) on the mechanical properties, degradation patterns, and failure modes of limestone. The research findings indicate that: (1) A nonlinear attenuation model between the number of circular holes and peak strength was established, revealing the strength degradation patterns under different arrangement modes. Specimens with horizontal arrangement exhibited exponential decay characteristics in peak strength, elastic modulus, and peak strain, whereas vertically aligned specimens showed a linear decreasing trend. Notably, the degradation effect on strength parameters was 37.2% more significant in horizontal arrangements compared to vertical arrangements. (2) Based on Digital Image Correlation (DIC) technology and PFC3D simulations, the evolution of crack propagation was systematically revealed. The study found that single-hole specimens exhibited typical diagonal shear failure, whereas multi-hole specimens (n ≥ 2) evolved into vertically through-going splitting failure. This finding verifies the directional control effect of the spatial configuration of circular holes on the failure mode. (3) Discrete element back-analysis quantitatively characterized the cavity effect on crack initiation stress. As the number of circular holes increased from 1 to 4, the crack initiation stress decreased significantly from 166.86 MPa to 154.32 MPa, representing a reduction of 12.5%. The findings provide a theoretical basis and technical support for stability evaluation of rock masses geological hazard prevention and control in karst regions.

       

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