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Experimental and numerical simulation of loading rate effects on failure and strain energy characteristics of coal-rock composite samples

加载速率对煤岩组合体试样破坏及应变能特征影响的实验与数值模拟

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Abstract

The deformation and failure of coal and rock is energy-driving results according to thermodynamics. It is important to study the strain energy characteristics of coal-rock composite samples to better understand the deformation and failure mechanism of of coal-rock composite structures. In this research, laboratory tests and numerical simulation of uniaxial compressions of coal-rock composite samples were carried out with five different loading rates. The test results show that strength, deformation, acoustic emission (AE) and energy evolution of coal-rock composite sample all have obvious loading rate effects. The uniaxial compressive strength and elastic modulus increase with the increase of loading rate. And with the increase of loading rate, the AE energy at the peak strength of coal-rock composites increases first, then decreases, and then increases. With the increase of loading rate, the AE cumulative count first decreases and then increases. And the total absorption energy and dissipation energy of coal-rock composite samples show non-linear increasing trends, while release elastic strain energy increases first and then decreases. The laboratory experiments conducted on coal-rock composite samples were simulated numerically using the particle flow code (PFC). With careful selection of suitable material constitutive models for coal and rock, and accurate estimation and calibration of mechanical parameters of coal-rock composite sample, it was possible to obtain a good agreement between the laboratory experimental and numerical results. This research can provide references for understanding failure of underground coal-rock composite structure by using energy related measuring methods.

摘要

岩石的变形破坏过程是能量积聚与耗散的过程, 岩石变形破坏是能量驱动的结果. 基于室内岩石力学试验及数值模拟软件, 进行了5种不同加载速率下的煤-岩组合试件的单轴压缩试验, 得到了不同加载速率时煤-岩组合体的强度、变形及能量特征. 试验结果表明: 煤岩组合体试样的强度、变形、声发射和能量等特征均具有明显的加载速率效应, 单轴抗压强度和弹性模量随着加载速率的增加呈增加趋势; 峰值强度处的声发射能量呈先增大后减小再增大的趋势, 而煤岩复合试样的声发射累积计数则呈先减小后增大趋势; 总的吸收能量U和耗散能Ud随着加载速率的增加呈非线性增长趋势, 而弹性应变能Ue则呈先增大后减小的趋势. 通过选择合适的煤岩本构模型以及对煤岩组合体试样的力学参数进行准确的估算和标定, 采用颗粒流程序(PFC)模拟了不同加载速率的煤岩组合体试样的单轴压缩试验, 数值计算结果与室内实验结果取得了较好的一致性. 该研究得到了不同加载速率下煤岩组合体的能量特征, 为煤岩组合体试样的破坏提供参考.

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Authors and Affiliations

  1. State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Qingdao, 266590, China

    Qing Ma  (马庆), Yun-liang Tan  (谭云亮), Xue-sheng Liu  (刘学生), Zeng-hui Zhao  (赵增辉) & De-yuan Fan  (范德源)

  2. College of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao, 266590, China

    Qing Ma  (马庆), Yun-liang Tan  (谭云亮), Xue-sheng Liu  (刘学生), Zeng-hui Zhao  (赵增辉) & De-yuan Fan  (范德源)

  3. Department of Mining Engineering, Colorado School of Mines, Golden, CO, 80401, USA

    Qing Ma  (马庆)

  4. School of Geology and Mining, Mongolian University of Science and Technology, Ulaanbaatar, 120646, Mongolia

    Lkhamsuren Purev

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  1. Qing Ma  (马庆)
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Correspondence to Yun-liang Tan  (谭云亮) or Xue-sheng Liu  (刘学生).

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Foundation item

Projects(51774196, 51804181, 51874190) supported by the National Natural Science Foundation of China; Project (2019GSF111020) supported by the Key R& amp; D Program of Shandong Province, China; Project(201908370205) supported by the China Scholarship Council

Contributors

The overarching research goals were developed by MA Qing, TAN Yun-liang and LIU Xue-sheng. ZHAO Zeng-hui established the calculation model. FAN De-yuan and MA Qing analyzed the calculated results. PUREV Lkhamsuren conducted the literature review. The initial draft of the manuscript was written by MA Qing and TAN Yun-liang. All authors replied to reviewers comments and revised the final version.

Conflict of interest

MA Qing, TAN Yun-liang, LIU Xue-sheng, ZHAO Zeng-hui, FAN De-yuan, PUREV Lkhamsuren declare that they have no conflict of interest.

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Ma, Q., Tan, Yl., Liu, Xs. et al. Experimental and numerical simulation of loading rate effects on failure and strain energy characteristics of coal-rock composite samples. J. Cent. South Univ. 28, 3207–3222 (2021). https://doi.org/10.1007/s11771-021-4831-6

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