不同加载速率作用下含平行裂隙岩石的试验研究：能量耗散与损伤演化

doi:10.13722/j.cnki.jrme.2023.0283

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摘要为了研究平行双裂隙岩石在动荷载作用下的能量耗散和损伤变化规律，利用改进的分离式霍普金森杆(SHPB)试验装置，对预制平行裂隙岩石进行动态冲击试验，探究裂隙角度和加载速率对岩石能耗规律和损伤变化的影响。试验结果表明：随着加载速率的增大，0°裂隙岩石的弹性应变能先下降后上升，45°和90°裂隙岩石表现出相反的规律。根据能量转换和分配原理，建立应变能密度变化函数模型，该模型能较好地反应峰值应力前岩石的能量耗散特性。弹性应变能与塑性应变能的比值可以用来表示岩石破坏前能量的变化指标，峰值应力前岩石能量吸收、储存和释放的过程中存在自我控制行为。不同加载速率作用下岩石的损伤变量分为稳定和加速发展两个阶段，加载速率效应影响损伤变量置信区间的变化趋势，损伤变量随着裂隙角度的增大先减小后增大。损伤变量分别和加载速率、单位体积吸收能具有良好的非线性拟合关系。基于数学推导法研究了裂隙角度和加载速率对岩石损伤曲线的影响，建立了损伤力学模型。损伤曲线的斜率先增大后减小，损伤因子m0整体逐渐上升，F0逐渐下降。其研究结果可以为深部裂隙岩石工程设计和岩石破碎效率优化等工程实践提供科学依据。

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	戴兵1
	2
	赵桂锋1
	张雷1
	张志军1
	2
	刘永1
	3
	陈英1

关键词 ：岩石力学, 分离式霍普金森杆(SHPB), 加载速率, 平行裂隙, 能量耗散, 损伤演化

Abstract：In order to study the effect of internal flaw on rock energy dissipation and damage change law under impact loading，intact granite specimens and specimens with different flaw inclination are tested by a modified split Hopkinson pressure bar(SHPB). The results of experiment and theoretical analysis show that the elastic strain energy of 0° flaw decreases first and then increases，while 45° and 90° flaws increases first and then decreases with increasing the loading rate. According to the principle of energy conversion and distribution，a function model is constructed considering the variation of strain energy density，which can well reflect the energy dissipation characteristics of rock before peak stress. In this study，the ratio of dissipated energy to elastic energy is used as the energy indicator of rock failure precursor. During the absorption，storage，and release of energy before the peak stress，there exists self-control of energy. The damage variable of rock under different loading rates is divided into two stages，damage stable development and damage acceleration. Besides，the damage variable shows obvious rate effect，which decreases first and then increases with the increase of crack angle，and it has a good nonlinear relationship with the loading rate and the energy dissipation density，respectively. Based on the mathematical derivation method，the damage evolution equation of the fractured rock under impact loading is constructed，the influence of different fracture angles and loading rates on rock damage curve are also studied. The slope of the damage curve first increases and then decreases，while the damage factor m0 increases and F0 gradually decreases. These conclusions should provide scientific basis for the practical projects of deep rock engineering design and improve the efficiency of rock excavation and rock breakage to some extend.

Key words： rock mechanics split Hopkinson pressure bar(SHPB) loading rate parallel crack energy dissipation damage evolution

引用本文:

戴兵1，2，赵桂锋1，张雷1，张志军1，2，刘永1，3，陈英1. 不同加载速率作用下含平行裂隙岩石的试验研究：能量耗散与损伤演化[J]. 岩石力学与工程学报, 2024, 43(S1): 3397-3412.
DAI Bing1，2，ZHAO Guifeng1，ZHANG Lei1，ZHANG Zhijun1，2，LIU Yong1，3，CHEN Ying1. Experimental study of rock with parallel cracks under different loading rates：energy dissipation and damage evolution. , 2024, 43(S1): 3397-3412.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2023.0283 或 http://rockmech.whrsm.ac.cn/CN/Y2024/V43/IS1/3397

[1]	LIU Y，DAI F. A damage constitutive model for intermittent jointed rocks under cyclic uniaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences，2018，103：289-301.
[3]	王志，秦文静，张丽娟. 含裂隙岩石注浆加固后静动态力学性能试验研究[J]. 岩石力学与工程学报，2020，39(12)：2 451-2 459.(WANG Zhi，QIN Wenjing，ZHANG Lijuan. Experimental study on static anddynamic mechanical properties of cracked rock after grouting reinforcement[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(12)：2 451-2 459.(in Chinese))
[6]	程爱平，舒鹏飞，邓代强，等. 单轴压缩下尾砂胶结充填体细观能量耗散与损伤表征研究[J]. 采矿与安全工程学报，2022，39(6)：1 227-1 234.(CHENG Aiping，SHU Pengfei，DENG Daiqiang，et al. Study on mesoscale energy dissipation and damage characterization of cemented tailings backfill under uniaxial compression[J]. Journal of Mining and Safety Engineering，2022，39(6)：1 227-1 234.(in Chinese))
[8]	刘之喜，孟祥瑞，赵光明，等. 真三轴压缩下砂岩的能量和损伤分析[J]. 岩石力学与工程学报，2023，42(2)：327-341.(LIU Zhixi，MENG Xiangrui，ZHAO Guangming，et al. Energy and damage analysis of sandstone under true triaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(2)：327-341.(in Chinese))
[11]	张亮，王桂林，雷瑞德，等. 单轴压缩下不同长度单裂隙岩体能量损伤演化机制[J]. 中国公路学报，2021，34(1)：24-34.(ZHANG Liang，WANG Guilin，LEI Ruide，et al. Energy damage evolution mechanism of single jointed rock mass with different lengths under uniaxial compression[J]. China Journal of Highway and Transport，2021，34(1)：24-34.(in Chinese))
[4]	金解放，杨益，廖占象，等. 动荷载与地应力对岩石响应特性的影响试验研究[J]. 岩石力学与工程学报，2021，40(10)：1 990-2 002. (JIN Jiefang，YANG Yi，LIAO Zhanxiang，et al. Effect of dynamic loads and geo-stresses on response characteristics of rocks[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(10)：1 990-2 002.(in Chinese))
[13]	尹升华，侯永强，杨世兴，等. 单轴压缩下混合集料胶结充填体变形破坏及能耗特征分析[J]. 中南大学学报：自然科学版，2021，52(3)：936-947.(YIN Shenghua，HOU Yongqiang，YANG Shixing，et al. Analysis of deformation failure and energy dissipation of mixed aggregate cemented backfill during uniaxial compression[J]. Journal of Central South University：Science and Technology，2021，52(3)：936-947.(in Chinese))
[14]	肖福坤，申志亮，刘刚，等. 循环加卸载中滞回环与弹塑性应变能关系研究[J]. 岩石力学与工程学报，2014，33(9)：1 791-1 797. (XIAO Fukun，SHEN Zhiliang，LIU Gang，et al. Relationship between hysteresis loop and elastoplastic strain energy during cyclic loading and unloading[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(9)：1 791-1 797.(in Chinese))
[16]	赵洪宝，吉东亮，程辉，等. 非对称载荷作用下含孔试样渐进破坏机制与损伤表征[J]. 中国矿业大学学报，2023，52(3)：478-491.(ZHAO Hongbao，JI Dongliang，CHENG Hui，et al. Study on progressive failure mechanism and quantitative analysis of specimen containing the central hole subject to asymmetric load[J]. Journal of China University of Mining and Technology，2023，52(3)：478-491.(in Chinese))
[2]	XU Y，DAI F，DU H. Experimental and numerical studies on compression-shear behaviors of brittle rocks subjected to combined static-dynamic loading[J]. International Journal of Rock Mechanics and Mining Sciences，2020，175：105520.
[12]	杨小彬，程虹铭，吕嘉琦，等. 三轴循环荷载下砂岩损伤耗能比演化特征研究[J]. 岩土力学，2019，40(10)：3 751-3 766.(YANG Xiaobin，CHENG Hongming，LV Jiaqi，et al. Energy consumption ratio evolution law of sandstones under triaxial cyclic loading[J]. Rock and Soil Mechanics，2019，40(10)：3 751-3 766.(in Chinese))
[22]	李成杰，徐颖，张宇婷，等. 冲击荷载下裂隙类煤岩组合体能量演化与分形特征研究[J]. 岩石力学与工程学报，2019，38(11)：2 231-2 241.(LI Chengjie，XU Ying，ZHANG Yuting，et al. Study on energy evolution and fractal characteristics of cracked coal-rock-like combined body under impact loading[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(11)：2 231-2 241.(in Chinese))
[32]	王春，程露萍，唐礼忠，等. 高轴压和围压共同作用下受频繁冲击时含铜蛇纹岩能量演化规律[J]. 爆炸与冲击，2019，39(5)：55-68.(WANG Chun，CHENG Luping，TANG Lizhong，et al. Energy evolution law of copper-bearing serpentine received frequent impact under common action of high axial compression and confining pressure[J]. Explosion and Shock Waves，2019，39(5)：55-68.(in Chinese))
[42]	HOU T X，XU Q，YANG X G，et al. Experimental study of the fragmentation characteristics of brittle rocks by the effect of a freefall round hammer[J]. International Journal of Fracture，2015，194：169-185.
[10]	孟庆彬，王从凯，黄炳香，等. 三轴循环加卸载条件下岩石能量演化及分配规律[J]. 岩石力学与工程学报，2020，39(10)：2 047-2 059. (MENG Qingbin，WANG Congkai，HUANG Bingxiang，et al. Rock energy evolution and distribution law under triaxial cyclic loading and unloading conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(10)：2 047-2 059.(in Chinese))
[20]	李淼，乔兰，李庆文. 高应变率下预制单节理岩石SHPB劈裂试验能量耗散分析[J]. 岩土工程学报，2017，39(7)：1 336-1 343.(LI Miao，QIAO Lan，LI Qingwen. Energy dissipation of rock specimens under high strain rate with single joint in SHPB tensile tests[J]. Chinese Journal of Geotechnical Engineering，2017，39(7)：1 336-1 343.(in Chinese))
[30]	左建平，宋洪强. 煤岩组合体的能量演化规律及差能失稳模型[J].煤炭学报，2022，47(8)：3 037-3 051.(ZUO Jiangping，SONG Hongqiang. Energy evolution law and different energy instability modle of coal-rock combined body[J]. Journal of China Coal Society，2022，47(8)：3 037-3 051.(in Chinese))
[40]	XU X L，KARAKUS M，GAO F，et al. Thermal damage constitutive model for rock considering damage threshold and residual strength[J]. Journal of Central South University，2018，25(10)：2 523-2 536.
[18]	田威，余宸，王肖辉，等. 3D打印裂隙岩体动态力学性能及能量耗散规律初探[J]. 岩石力学与工程学报，2022，41(3)：446-456.(TIAN Wei，YU Chen，WANG Xiaohui，et al. A preliminary research on dynamic mechanical properties and energy dissipation rule of 3D printed fractured rock[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(3)：446-456.(in Chinese))
[21]	武仁杰，李海波，李晓锋，等. 冲击载荷作用下层状岩石破碎能耗及块度特征[J]. 煤炭学报，2020，45(3)：1 053-1 060.(WU Renjie，LI Haibo，LI Xiaofeng，et al. Broken energy dissipation and fragmentation characteristics of layered rock under impact loading[J]，Journal of China Coal Society，2020，45(3)：1 053-1 060.(in Chinese))
[24]	ZHOU Z L，CAI X，LI X B，et al. Dynamic response and energy evolution of sandstone under coupled static-dynamic compression：insights from experimental study into deep rock engineering applications[J]. Rock Mechanics and Rock Engineering，2020，53：1 305-1 331.
[26]	赵洪宝，吉东亮，刘绍强，等. 冲击荷载下复合岩体动力响应力学特性及本构模型研究[J]. 岩石力学与工程学报，2023，42(1)：88-99.(ZHAO Hongbao，JI Dongliang，LIU Shaoqiang，et al. Study on dynamic response and constitutive model of composite rock under impact loading[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(1)：88-99.(in Chinese))
[28]	张庆贺，牛龙华，袁亮，等. 基于3D扫描的深部砂岩动态破碎块体尺度特征与能量耗散规律试验研究[J]. 采矿与安全工程学报，2022，39(6)：1 218-1 226.(ZHANG Qinghe，NIU Longhua，YUAN Liang，et al. Experimental study on scale characteristics and energy dissipation law of dynamic broken blocks of deep sandstone based on 3D scanning[J]. Journal of Mining and Safety Engineering，2022，39(6)：1 218-1 226.(in Chinese))
[31]	刘超，尹思禹，张锦，等. 深部采动应力条件下砂岩破裂的声发射和能量演化规律研究[J]. 采矿与安全工程学报，2022，39(3)：470-479.(LIU Chao，YIN Siyu，ZHANG Jin，et al. Acoustic emission and energy evolution of sandstone failure subjected to deep mining stress[J]. Journal of Mining and Safety Engineering，2022，39(3)：470-479.(in Chinese))
[34]	LI D Y，HAN Z Y，SUN X L，et al. Dynamic mechanical properties and fracturing behavior of marble specimens containing single and double flaws in SHPB tests[J]. Rock Mechanics and Rock Engineering，2019，52(6)：1 623-1 643.
[36]	宫凤强，闫景一，李夕兵. 基于线性储能规律和剩余弹性能指数的岩爆倾向性判据[J]. 岩石力学与工程学报，2018，37(9)：1 993-2 014. (GONG Fengqiang，YAN Jingyi，LI Xibing. A new criterion of rock burst proneness based on the linear energy storage law and the residual elastic energy index[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(9)：1 993-2 014.(in Chinese))
[38]	马秋峰，刘志河，秦跃平，等. 基于能量耗散理论的岩石塑性-损伤本构模型[J]. 岩土力学，2021，42(5)：1 210-1 220.(MA Qiufeng，LIU Zhihe，QIN Yueping，et al. Rock plastic-damage constitutive model based on energy dissipation[J]. Rock and Soil Mechanics，2021，42(5)：1 210-1 220.(in Chinese))
[41]	ZHOU C T，ZHANG K，WANG H B，et al. A plastic strain based statistical damage model for brittle to ductile behaviour of rocks[J]. Geomechanics and Engineering，2020，21(4)：349-356.
[7]	韩震宇，李地元，朱泉企，等. 含端部裂隙大理岩单轴压缩破坏及能量耗散特性[J]. 工程科学学报，2020，42(12)：1 588-1 596.(HAN Zhenyu，LI Diyuan，ZHU Quanqi，et al. Uniaxial compression failure and energy dissipation of marble specimens with flaws at the end surface[J]. Chinese Journal of Engineering，2020，42(12)：1 588-1 596. (in Chinese))
[17]	侯永强，尹升华，杨世兴，等. 冲击荷载作用下全尾砂胶结充填体的能耗特征与损伤特性[J]. 中国有色金属学报，2021，31(6)：1 661-1 671.(HOU Yongqiang，YIN Shenghua，YANG Shixing，et al. Energy consumption characteristics and damage characteristics of full tailings cemented backfill under impact loading[J]. The Chinese Journal of Nonferrous Metals，2021，31(6)：1 661-1 671.(in Chinese))
[27]	李夕兵. 岩石动力学基础与应用[M]. 北京：科学出版社，2014：18-38.(Li Xibing. Rock dynamic fundamentals and applications[M]. Beijing：Science Press，2014：18-38.(in Chinese))
[37]	李谭，张尚波，陈光波，等. 循环载荷下煤-岩结构体能量耗散与损伤特征研究[J]. 太原理工大学学报，2022，53(4)：649-659.(LI Tan，ZHANG Shangbo，CHEN Guangbo，et al. Study on energy dissipation and damage characteristics of coal-rock structural body under cyclic loading[J]. Journal of Taiyuan University of Technology，2022，53(4)：649-659.(in Chinese))
[9]	王桂林，曹天赐，文兴祥，等. 单轴压缩下单节理砂岩峰前能量自我抑制演化规律[J]. 煤炭学报，2021，46(增1)：211-221.(WANG Guilin，CAO Tianci，WEN Xingxiang，et al. Evolution law of self-suppression of peak energy of single jointed sandstone[J]. Journal of China Coal Society，2021，46(Supp.1)：211-221.(in Chinese))
[19]	金解放，徐虹，余雄，等. 动荷载和含水率对红砂岩破坏及能耗特性的影响[J]. 岩土力学，2022，43(12)：3 231-3 240.(JIN Jiefang，XU Hong，YU Xiong，et al. Effect of dynamic load and water content on failure and energy dissipation characteristics of red sandstone[J]. Rock and Soil Mechanics，2022，43(12)：3 231-3 240.(in Chinese))
[29]	李地元，万千荣，朱泉企，等. 不同加载方式下含预制裂隙岩石力学特性及破坏规律试验研究[J]. 采矿与安全工程学报，2021，38(5)：1 025-1 035.(LI Diyuan，WAN Qianrong，ZHU Quanqi，et al. Experimental study on mechanical properties and failure behaviour of fractured rocks under different loading methods[J]. Journal of Mining and Safety Engineering，2021，38(5)：1 025-1 035.(in Chinese))
[39]	张超，杨楚卿，白允. 岩石类脆性材料损伤演化分析及其模型方法研究[J]. 岩土力学，2021，42(9)：2 344-2 354.(ZHANG Chao，YANG Chuqing，BAI Yun. Investigation of damage evolution and its model of rock-like brittle materials[J]. Rock and Soil Mechanics，2021，42(9)：2 344-2 354.(in Chinese))
[5]	夏开文，王帅，徐颖，等. 深部岩石动力学实验研究进展[J]. 岩石力学与工程学报，2021，40(3)：448-475.(XIA Kaiwen，WANG Shuai，XU Ying，et al. Advances in experimental studies for deep rock dynamics[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(3)：448-475.(in Chinese))
[15]	HOU B，XIAO R，SUN T F，et al. A new testing method for the dynamic response of soft cellular materials under combined shear-compression[J]. International Journal of Rock Mechanics and Mining Sciences，2019，159：306-314.
[25]	李地元，胡楚维，朱泉企. 预制裂隙花岗岩动静组合加载力学特性和破坏规律试验研究[J]. 岩石力学与工程学报，2020，39(6)：1 081-1 093.(LI Diyuan，HU Chuwei，ZHU Quanqi. Experimental study on mechanical properties and failure laws of granite with an artificial flaw under coupled static and dynamic loads[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(6)：1 081-1 093.(in Chinese))
[35]	张振杰，朱杰兵，汪斌，等. 基于能量耗散机制的片麻状花岗岩损伤与剪胀演化规律[J]. 岩石力学与工程学报，2018，37(增1)： 3 441-3 448.(ZHANG Zhenjie，ZHU Jiebing，WANG Bin. The damage and shear dilation property evolution based on energy dissipation mechanism of gneissic granite[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(Supp.1)：3 441-3 448.(in Chinese))
[23]	苗胜军，刘泽京，赵星光，等. 循环荷载下北山花岗岩能量耗散与损伤特征[J]. 岩石力学与工程学报，2021，40(5)：928-938.(MIAO Shengjun，LIU Zejing，ZHAO Xingguang，et al. Energy dissipation and damage characteristics of Beishan granite under cyclic loading and unloading[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(5)：928-938.(in Chinese))
[33]	孟凡东，翟越，李宇白，等. 冻融循环作用后砂岩的动态抗拉性能及能量演化试验研究[J]. 岩石力学与工程学报，2021，40(12)：2 445-2 453.(MENG Fandong，ZHAI Yue，LI Yubai，et al. Experimental study on dynamic tensile properties and energy evolution of sandstone after freeze-thaw cycles[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(12)：2 445-2 453.(in Chinese))