Analysis of stress-strain relationship of brittle rock containing microcracks under water pressure
Analysis of stress-strain relationship of brittle rock containing microcracks under water pressure
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DOI：
10.1007/s10064-019-01660-6
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发表时间：
2019-11
影响因子：
4.2
通讯作者：
Zhihao Li;Ziming Xiong;Haoxiang Chen;Hao Lu;Mu Huang;Chao Ma;Yiming Liu
中科院分区：
文献类型：
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作者：
Zhihao Li;Ziming Xiong;Haoxiang Chen;Hao Lu;Mu Huang;Chao Ma;Yiming Liu
脆性岩石在自然条件下含有大量的微裂纹。含微裂纹脆性岩石在水压、轴向应力和围压作用下的理论模型尚未完全阐明。为此，基于翼裂纹模型和改进的威布尔模型，建立了一个新的模型来分析水对裂纹萌生、扩展和合并过程的影响。在改进的翼裂纹模型中，引入了水压力作为变量，揭示了考虑水压力时的应力-裂纹解析关系。得到了应力应变关系。结果表明，在较高的水压力下，裂缝更容易扩展和破坏发生。理论曲线与不同水压下的实验数据吻合较好。分析了水压随裂纹倾角、摩擦系数、起裂长度、翼缝长度的变化对楔紧力、内应力和应力应变关系的影响。分析结果得到了实验验证。水压力的应力-应变关系的影响进行了量化使用的分析方程，从而确定最不利的角度的情况下，即，其中的楔入力是最大的情况下，与零摩擦。
Brittle rock contains many microcracks under natural conditions. The theoretical models of brittle rock containing microcracks under the effect of water pressure, axial stress, and confining pressure have not yet been fully elucidated. Therefore, a new model based on a wing crack model and an improved Weibull model was established to analyse the effects of water on the progress of crack initiation, growth, and coalescence. In this improved wing crack model, the water pressure was introduced as a variable, and the analytical stress-crack relationship considering the water pressure was revealed. The relationship between the stress and strain was also obtained. The results revealed that the cracks more readily propagated and failure occurred under higher water pressure. The proposed theoretical curves agree with the experimental data obtained under various water pressures. The effects of water pressure with the change of the crack inclination angle, friction coefficient, crack initiation length, and wing crack length on the wedging force, internal stress, and stress-strain relationship were analysed. The analytical results were validated by experiments. The effect of water pressure on the stress-strain relationship was quantified using an analytical equation whereby the most disadvantageous angle cases, that is, cases wherein the wedging force was maximum, with zero friction were determined.