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A semi-analytical model of fully grouted bolts in jointed rock masses
Applied Mathematical Modelling ( IF 4.4 ) Pub Date : 2021-05-28 , DOI: 10.1016/j.apm.2021.05.012
Jinfeng Zou , Penghao Zhang

Since the failure modes of fully grouted bolts subject to displacements of rock joints are difficult to predict, the joint displacements in this study are categorised into two types: opening displacement and shear displacement. At first, a closed-form solution incorporating the nonlinear constitutive model of interfaces between bolts and grout is developed, which is able to formulate the full-range behaviour of bolts subject to the opening displacements of rock joints. Then, a novel numerical approach considering the nonlinear rock reaction force is proposed, which can analyse stress and displacement conditions on each point along a bolt. The results of the proposed numerical approach are validated by existing test results. Combining the proposed numerical approach with the improved closed-form solution, a comprehensive model for predicting yield and failure patterns of rock bolts is proposed. In this way, decoupling between the bolt and grout, the yield and failure patterns of two potential points along the bolt are also highlighted and discussed. Further discussions about the influences of bolt inclined angles to the discontinuity and the dilatancy effect of the joint face are carried out at last. This work provides a useful tool to evaluate the behaviours and estimate the load-bearing capacity of fully grouted bolts in jointed rock masses.



中文翻译:

节理岩体中完全注浆锚杆的半解析模型

由于全灌浆锚杆受岩石节理位移影响的破坏模式难以预测,本研究中的节理位移分为两种类型:张开位移和剪切位移。首先,开发了一种包含螺栓和灌浆之间界面非线性本构模型的封闭形式解决方案,该解决方案能够制定螺栓在岩石节理张开位移下的全范围行为。然后,提出了一种考虑非线性岩石反作用力的新型数值方法,该方法可以分析锚杆上每个点的应力和位移条件。现有的测试结果验证了所提出的数值方法的结果。将所提出的数值方法与改进的封闭形式解相结合,提出了一种用于预测岩石锚杆屈服和破坏模式的综合模型。通过这种方式,螺栓和灌浆之间的解耦、沿螺栓的两个潜在点的屈服和破坏模式也得到了强调和讨论。最后进一步讨论了螺栓倾斜角对不连续性的影响以及连接面的剪胀效应。这项工作提供了一个有用的工具来评估行为和估计节理岩体中完全灌浆的锚杆的承载能力。最后进一步讨论了螺栓倾斜角对不连续性的影响以及连接面的剪胀效应。这项工作提供了一个有用的工具来评估行为和估计节理岩体中完全灌浆的锚杆的承载能力。最后进一步讨论了螺栓倾斜角对不连续性的影响以及连接面的剪胀效应。这项工作提供了一个有用的工具来评估行为和估计节理岩体中完全灌浆的锚杆的承载能力。

更新日期:2021-06-11
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