An analytical solution of direction evolution of crack growth during progressive failure in brittle rocks
Xiaozhao Li, Lianjie Li, Fayuan Yan, Chengzhi Qi, Mikhail A. Guzev, Evgenii V. Kozhevnikov, Artem A. Kunitskikh
在深部地下工程中,脆性岩石内部细观裂纹的扩展对其安全性至关重要。然而,关于岩石内部新生成翼型裂纹扩展方向的具体演化机制研究不足。为此,本文提出了一种新的分析方法,通过建立主压应力作用下的翼型裂纹扩展模型,探讨剪切应力对渐进压缩破坏及裂纹扩展方向的影响。研究结果为深部地下工程的围岩稳定性评价提供了理论支持。
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Xiaozhao Li, Lianjie Li, Fayuan Yan, Chengzhi Qi, Mikhail A. Guzev, Evgenii V. Kozhevnikov, Artem A. Kunitskikh. An analytical solution of direction evolution of crack growth during progressive failure in brittle rocks. Deep Underground Science and Engineering. 2024; 1-9. doi:10.1002/dug2.12117
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本文简介:
压缩渐进失效过程中,脆性岩石内部细观裂纹扩展严重影响着深部地下工程安全稳定性。岩石外部剪切应力对细观裂纹扩展有着重要影响。然而,关于渐进性破坏过程中,岩石内部新生成的翼型裂纹扩展方向演化的理论机制研究较少。本文提出了一种新的分析方法,评价了剪切应力对脆性岩石渐进压缩破坏和细观裂纹扩展方向的影响。该模型由主压应力作用下的翼型裂纹扩展模型、一般应力、主应力与初始细观裂纹倾角的方向相关性,以及翼型裂纹长度与应变的关系组成。分析了剪切应力对y方向应力与翼型裂纹扩展关系、y方向应力与y方向应变关系的影响。确定了渐进式压缩破坏过程中剪应力对翼型裂纹扩展方向的影响规律。讨论了考虑剪切应力的渐进式压缩破坏过程中初始裂纹角对y向峰值应力和翼型裂纹扩展方向的影响。得到了翼型裂纹扩展方向随裂纹扩展呈U型变化的重要结论。实验和数值结果验证了分析结果的合理性。研究结果为深部地下工程围岩安全稳定性评价提供了理论支持。
Brief Introduction:
Microcrack growth during progressive compressive failure in brittle rocks strongly influences the safety of deep underground engineering. The external shear stress τxy on brittle rocks greatly affects microcrack growth and progressive failure. However, the theoretical mechanism of the growth direction evolution of the newly generated wing crack during progressive failure is rarely studied. A novel analytical method is proposed to evaluate the shear stress effect on the progressive compressive failure and microcrack growth direction in brittle rocks. This model consists of the wing crack growth model under the principal compressive stresses, the direction correlation of the general stress, the principal stress and the initial microcrack inclination, and the relationship between the wing crack length and strain. The shear stress effect on the relationship between y-direction stress and wing crack growth, and the relationship between y-direction stress and y-direction strain are analyzed. The shear stress effect on the wing crack growth direction during the progressive compressive failure is determined. The initial crack angle effect on y-direction peak stress and wing crack growth direction during the progressive compressive failure considering shear stress is also discussed. A crucial conclusion that the direction of wing crack growth has a U-shaped variation along with the growth of wing crack is found. The rationality of the analytical results is verified by the experiment and numerical results. The study results provide theoretical support for the evaluation of the safety and stability of surrounding rocks in deep underground engineering.
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本文亮点:
提出了一种剪切应力对脆性岩石压缩渐进失效影响的解析解。
确定了渐进失效过程中,脆性岩石内部新生成翼型裂纹扩展的方向。
分析了剪切应力与初始裂纹倾向角度对岩石强度的综合影响。
Highlights:
An analytical solution of the shear stress effect on progressive compressive failure is proposed in brittle rocks.
The growth direction of the wing crack during progressive compressive failure is determined.
The coupled effect of shear stress and initial crack inclination on the rock strength is analyzed.
03
作者简介:
李晓照
李晓照,北京建筑大学副教授。2016年于西安建筑科技大学获博士学位。研究领域为深部脆性岩石宏细观断裂力学方面的研究。第一作者发表中、英文专著各1部,SCI、EI检索论文40余篇。主持国家自然科学基金青年项目1项、中国博士后面上项目1项。获得2023年中国岩石力学与工程学会自然科学奖一等奖,2018年陕西省优秀博士论文奖。现任中国岩石力学与工程学会工程安全与防护分会、深地空间探测与开发分会理事。
Xiaozhao Li is an associate professor at Beijing University of Civil Engineering and Architecture. He received his PhD degree in geotechnical engineering from Xi’an University of Architecture and Technology in 2016. His research interest is focused on the theory of micro-macro fracture mechanics of brittle rocks. He has published two Chinese and English monographs and more than forty research papers including thirty SCI- and EI-indexed papers as first author. He presided over 1 program of the National Natural Science Foundation of China and 1 program of the Postdoctoral Science Foundation of China. He achieved the First prize in Natural science of the Chinese Society of Rock Mechanics and Engineering in 2023, and the Shaanxi Province Excellent Doctoral Dissertation Award in 2018. He is the members of the Engineering Safety and Protection Branch and the Deep Earth Space Exploration and Development Branch of the Chinese Society of Rock Mechanics and Engineering.
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