The application of cable bolts tends to increase in both underground mining operations and civil tunnel excavations have given its outstanding performance to support the excavation surface and hence minimise the hazards and risk of failure in the field. Understanding the mechanical behaviour of cable bolts under axial loading subjected to different field environment from analytical perspective is essential and economic for selecting the most appropriate cable bolt for a specific scenario and also the ground support system design. This study develops a novel analytical model coupling the crack propagation in the grout annulus to capture the load–displacement performance of cable bolts under axial loading. The majority of the input parameters associated with mechanic properties of the cable bolt and grout are readily determinable by laboratory tests. Additionally, the model simulates the ongoing varying conditions of the confinement to the grouted cable bolt during the pull-out test based on the proposed crack propagation equation, leading to a more realistic reflection of the field conditions. Finally, the capability of the proposed model to simulate the performance of cable bolts under axial loading is demonstrated by validating against experimental results in the literature.

中文翻译：

---

结合裂纹扩展的锚杆荷载-位移性能的分析建模

电缆螺栓在地下采矿作业和民用隧道开挖中的应用趋于增加，这使其具有出色的性能以支撑开挖面，从而最大限度地减少现场的危险和故障风险。从分析的角度了解轴向载荷下电缆螺栓在不同现场环境下的机械性能对于为特定场景选择最合适的电缆螺栓以及地面支撑系统设计至关重要且经济。本研究开发了一种新的分析模型，耦合了灌浆环中的裂纹扩展，以捕捉轴向载荷下锚索的载荷位移性能。大多数与锚杆和灌浆机械性能相关的输入参数很容易通过实验室测试确定。此外，该模型基于所提出的裂纹扩展方程模拟了在拔出试验期间对灌浆锚杆的限制的持续变化条件，从而更真实地反映了现场条件。最后，通过对文献中的实验结果进行验证，证明了所提出模型在轴向载荷下模拟锚索性能的能力。