• 论文
主办单位:煤炭科学研究总院有限公司、中国煤炭学会学术期刊工作委员会
循环载荷作用下煤岩复合结构宏−细观破坏特征及能量−损伤本构模型
  • Title

    Macro-mesoscopic perspective damage characteristics and energy-damage constitutive model of coal-rock composite structures subjected to cyclic loading

  • 作者

    王凯左晓欢杜锋孙加智鞠杨丰程涛

  • Author

    WANG Kai;ZUO Xiaohuan;DU Feng;SUN Jiazhi;JU Yang;FENG Chengtao

  • 单位

    中国矿业大学(北京)共伴生能源精准开采北京市重点实验室应急管理与安全工程学院研究生院煤炭精细勘探与智能开发全国重点实验室

  • Organization
    Beijing Key Laboratory for Precise Mining of Intergrown Energy and Resources, China University of Mining & Technology-Beijing, Beijing
    School of Emergency Management and Safety Engineering, China University of Mining & Technology-Beijing
    Graduate School of China University of Mining & Technology-Beijing
    State Key Laboratory of Fine Exploration and Intelligent Devolpent of Coal Resources, China University of Mining & Technology-Beijing
  • 摘要

    煤炭深部开采过程中,周期性开采扰动行为会使邻近煤层的煤岩复合结构承受循环载荷的作用,因此,研究不同循环载荷作用下煤岩复合试样的力学响应行为及宏−细观失效特征具有重要工程意义。选取3种不同的加(卸)载速率,开展了2种循环加卸载路径下的单轴循环压缩试验(同步测定声发射信号),分析了煤岩复合试样的损伤失效特征;基于能量耗散原理,构建了煤岩复合试样在循环载荷作用下的能量−损伤本构模型,最后结合试验实测数据进行验证。结果表明:加(卸)载速率与复合试样的峰值强度呈正相关,当加(卸)载速率从0.05 mm/min增大到0.15 mm/min时,恒定下限逐步循环加卸载路径(路径I)、变上下限等幅循环加卸载路径(路径II)下,试样的峰值应力分别增加了22.44%和28.89%;高加(卸)载速率下,试样的内部裂纹扩展越快,煤岩复合试样中煤组分的破碎程度加剧,分形维数随之增大,试样的内部裂纹扩展越快;随着加(卸)载速率的增大,煤组分中沿基质破坏增多。循环分级跨度大的路径(路径I)有助于试样内部的应力传递,为试样内部裂纹的发育提供了有利条件,导致对应试样的破坏程度更高。试验曲线和能量−损伤本构理论曲线具有较强的一致性,表明所建的能量−损伤本构模型能够很好地描述煤岩复合试样在循环加卸载过程中的变形行为。

  • Abstract

    During deep coal mining processes, periodic mining disturbances cause the neighboring coal strata to bear the effects of cyclic loading and unloading, making it essential to study the mechanical responses and macro-micro failure characteristics of the coal-rock composite structures under different cyclic loads. In this study, three different loading rates were selected to perform uniaxial cyclic compression tests (with simultaneous acoustic emission signal measurement) under two types of cyclic loads, investigating the damage characteristics of coal-rock composites. Based on the principle of energy dissipation, an energy-damage constitutive model for the cyclic loading of composites was constructed and validated with experimental data. The results indicate that the loading rate is directly proportional to the peak strength of the composite specimen, where the peak stress increased by 22.44% and 28.89% for the gradual cyclic loading and unloading path (path I) and the cyclic loading and unloading path (Path II) respectively. The higher the loading rate, the faster the internal crack extension in the specimen, the crushing degree of the coal component in the coal-rock composite specimen is intensified, and the fractal dimension increases subsequently, and the faster the internal crack extension in the specimen becomes. With the increase of the loading rate, the damage along the matrix in the coal fraction increases. The paths with a large span of cyclic gradation (Path I) contribute to stress transfer within the specimen and provide favorable conditions for the development of cracks within the specimen, leading to a higher degree of damage in the corresponding specimen. The consistency between the test curves and the energy-damage constitutive model curves is relatively high, indicating that the proposed energy-damage constitutive model can well describe the deformation behavior of the coal-rock composite specimens during cyclic loading and unloading processes.

  • 关键词

    煤岩复合结构循环载荷作用加(卸)载速率宏−细观特征能量−损伤本构模型

  • KeyWords

    coal-rock composite structure;cyclic loading action;loading rate;macro-mesoscopic characteristics;energy-damage constitutive model

  • 基金项目(Foundation)
    国家自然科学基金资助项目(52130409,52374249);国家自然科学基金创新群体资助项目(52121003)
  • DOI
  • 引用格式
    王凯,左晓欢,杜锋,等. 循环载荷作用下煤岩复合结构宏−细观破坏特征及能量−损伤本构模型[J]. 煤炭学报,2024,49(2):767−784.
  • Citation
    WANG Kai,ZUO Xiaohuan,DU Feng,et al. Macro-mesoscopic perspective damage characteristics and energy-damage constitutive model of coal-rock composite structures subjected to cyclic loading[J]. Journal of China Coal Society,2024,49(2):767−784.
  • 图表

    Table1

    2种循环加卸载路径、不同加(卸)载速率下试样编号及试验结果
    循环加卸载路径 试样编号 加(卸)载速率/( mm·min−1) 试验结果 加载峰值时间/s
    峰值应力 峰值应变/10−2 弹性模量/GPa
    UC C 0.10 17.23 0.946 1.73 914
    R 0.10 75.23 1.062 7.84 1 657
    Path I A0.05 0.05 21.08 1.067 2.52 5 255
    A0.10 0.10 24.58 1.054 3.42 4 213
    A0.15 0.15 25.71 0.940 3.81 3 508
    Path II B0.05 0.05 17.10 0.793 2.53 3 421
    B0.10 0.10 20.93 0.848 3.17 2 567
    B0.15 0.15 22.05 0.762 3.46 1 820
      注:UC代表单轴压缩。

    Table2

    试样A0.10在循环加卸载路径I下的能量指标
    循环加卸载次数 输入总能量U 弹性能Ue 耗散能Ud
    1 0.00266 0.00200 0.000665
    2 0.00838 0.00686 0.001520
    3 0.01634 0.01405 0.002290
    4 0.02671 0.02356 0.003150
    5 0.03961 0.03542 0.004190
    6 0.05654 0.05003 0.006510
    7 0.07384 0.06405 0.009790
    8 0.09574 0.08265 0.013090

    Table3

    试样A0.10在循环加卸载路径I下本构验证参数
    循环加卸载次数 β α RMSE R2
    1 1.147 9 0.001 7 0.005 1 0.999 9
    2 0.956 2 0.001 6 0.007 3 0.998 4
    3 2.139 6 0.003 8 0.223 5 0.990 8
    4 2.163 9 0.005 8 0.123 2 0.998 8
    5 2.163 9 0.006 6 0.206 7 0.997 9
    6 1.801 1 0.006 5 0.316 8 0.996 6
    7 1.894 6 0.008 2 0.445 6 0.995 0
    8 1.454 4 0.007 9 0.613 2 0.992 8
相关问题

主办单位:煤炭科学研究总院有限公司 中国煤炭学会学术期刊工作委员会

©版权所有2015 煤炭科学研究总院有限公司 地址:北京市朝阳区和平里青年沟东路煤炭大厦 邮编:100013
京ICP备05086979号-16  技术支持:云智互联