一维静载与循环冲击共同作用下砂岩动态力学特性试验研究

范利丹; 徐峰; 余永强; 张志伟; 余雳伟; 周桂杰

doi:10.11858/gywlxb.20210879

一维静载与循环冲击共同作用下砂岩动态力学特性试验研究

doi: 10.11858/gywlxb.20210879

范利丹^{1, 2,},
徐峰¹,
余永强^{1, 2,*, ,},
张志伟³,
余雳伟¹,
周桂杰¹

1.
河南理工大学土木工程学院, 河南焦作　454003
2.
河南省地下空间开发及诱发灾变防治国际联合实验室, 河南焦作　454003
3.
鹤壁煤业集团第四生产部, 河南鹤壁　458000

基金项目: 国家自然科学基金（51874119）；河南省科技攻关项目（212102310974）

详细信息

作者简介:
范利丹（1982－），女，硕士，副教授，主要从事新型建筑材料和地下工程支护材料研究.E-mail：lidanfan@hpu.edu.cn

通讯作者:
余永强（1972－），男，博士，教授，主要从事地下工程与岩土工程研究. E-mail：yyq@hpu.edu.cn

中图分类号: O347; TU458
计量
- 文章访问数: 1052
- HTML全文浏览量: 528
- PDF下载量: 43
出版历程
- 收稿日期: 2021-09-23
- 修回日期: 2021-10-16
- 刊出日期: 2022-05-30

Experimental Study of Dynamic Mechanical Characteristics of Sandstone under One-Dimensional Coupled Static-Cyclic Impact Loads

FAN Lidan^{1, 2
,},
XU Feng¹,
YU Yongqiang^{1, 2,*
, ,},
ZHANG Zhiwei³,
YU Liwei¹,
ZHOU Guijie¹

1.
School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454003, Henan, China
2.
International Joint Research Laboratory of Henan Province for Underground Space Development and Disaster Prevention, Jiaozuo 454003, Henan, China
3.
The Fourth Production Department of Hebi Coal Industry Group, Hebi 458000, Henan, China

摘要

摘要: 以硬岩巷道的煤系砂岩为研究对象，利用改进的动静组合加载分离式霍普金森压杆系统进行轴压梯度为5、15、20 MPa，冲击气压梯度为0.8、1.0、1.2 MPa的一维循环冲击压缩试验。结果表明：整个循环冲击过程中，在不考虑轴压和冲击气压的情况下，砂岩的峰值应力随着冲击次数的增加呈现先增大后减小的变化趋势，而峰值应变、最大应变及平均应变率均呈现相反的变化趋势；在相同的冲击气压下，砂岩的峰值应力和累计循环冲击次数随轴压的增大而减小；在相同的轴压下，随着冲击气压的增大，峰值应力不断增大，而累计冲击次数却先增大后减小；在一维静载与循环冲击的共同作用下，砂岩的整个冲击过程可划分为压密阶段、内部裂纹发展阶段和加速破坏阶段。研究表明，地下深部矿柱失稳大概率是在静载与动载的相互作用下导致的，而动载的频繁扰动是矿柱失稳的主要影响因素。
- 煤系砂岩 /
- 累计循环冲击 /
- 分离式霍普金森压杆 /
- 峰值应力 /
- 单位体积耗能 /
- 破坏模式
Abstract: The coal measures sandstones in hard rock roadways were collected as the research samples, and a modified dynamic and static combined split Hopkinson pressure bar (SHPB) system was adopted to perform one-dimensional cyclic impact compression tests with the axial pressure of 5, 15 and 20 MPa and the impact pressure of 0.8, 1.0 and 1.2 MPa. Experimental results indicate that the peak stress of sandstones increase and then decrease with the increase of the impact times, while the peak strain, maximum strain and average strain rate show the opposite trends in the whole cyclic impact process without considering the axial pressure and impact pressure. Under the same impact pressure, the peak stress and cumulative cyclic impact times decrease with the increase of the axial pressure, while under the same axial pressure, the peak stress increase with the increase of the impact pressure, and cumulative impact times increase and then decrease. Under the action of one-dimensional coupled static and cyclic impact loads, the whole impact process of sandstone could be divided into the compacted stage, the internal crack development stage and the accelerated failure stage. The results of this experimental study show that the high probability of deep underground mine prop is caused by the interaction between static and dynamic loads, and the frequent disturbance of dynamic load is one of the key influencing factors.
- coal measures sandstone /
- cumulative cyclic impact /
- split Hopkinson pressure bar /
- dynamic peak stress /
- absorbed energy per unit volume /
- failure mode

HTML全文

图 1 SHPB 试验装置

Figure 1. SHPB test apparatus

下载: 全尺寸图片幻灯片

图 2 SHPB试验装置示意图

Figure 2. Sketch of the SHPB system

下载: 全尺寸图片幻灯片

图 3 砂岩的动态应力均衡检验

Figure 3. Calibration of dynamic stress balance of sandstone

下载: 全尺寸图片幻灯片

图 4 一维动静组合加载模型示意图

Figure 4. Sketch of model under one-dimensional coupled static and dynamic loads

下载: 全尺寸图片幻灯片

图 5 砂岩试样循环冲击原始波形

Figure 5. Original waveforms of cyclic impacts for sandstone samples

下载: 全尺寸图片幻灯片

图 6 砂岩试样在循环冲击荷载下的应力-应变曲线

Figure 6. Stress-strain curves of sandstone subjected to cyclic impact

下载: 全尺寸图片幻灯片

图 7 峰值应力及最大应变与冲击次数的关系

Figure 7. Variations of peak stress and maximum strain with impact times

下载: 全尺寸图片幻灯片

图 8 峰值应力与循环冲击次数的关系

Figure 8. Relationship between peak stress and cyclic impact times

下载: 全尺寸图片幻灯片

图 9 最大应变与循环冲击次数的关系

Figure 9. Relationship between the maximum strain and cyclic impact times

下载: 全尺寸图片幻灯片

图 10 平均应变率与循环冲击次数的关系

Figure 10. Relationship between average strain rate and cyclic impact times

下载: 全尺寸图片幻灯片

图 11 冲击次数与冲击气压的关系

Figure 11. Relationship between impact times and impact pressure

下载: 全尺寸图片幻灯片

图 12 冲击次数与预加轴压的关系

Figure 12. Relationship between impact times and preloading axial pressure

下载: 全尺寸图片幻灯片

图 13 单位体积耗能与循环冲击次数的关系

Figure 13. Relationship between energy consumption per volume and cyclic impact times

下载: 全尺寸图片幻灯片

图 14 循环冲击作用下砂岩的破坏形态

Figure 14. Failure morphology of sandstone under cyclic impact loads

下载: 全尺寸图片幻灯片

图 15 循环冲击作用下砂岩的破坏模式

Figure 15. Failure mode of sandstone under cyclic impact loads

下载: 全尺寸图片幻灯片

表 1 砂岩的静态物理力学参数

Table 1. Static physical and mechanical parameters of sandstone

f_cu/MPa	f_t/MPa	E/GPa	$\,\mu $	v/(m·s⁻¹)
116.94	5.30	31.25	0.26	3923

下载: 导出CSV

表 2 代表性试样的基本物理参数及加载方案

Table 2. Basic parameters of the representative samples and the loading scheme

Sample No.	L/mm	D/mm	$\,\rho $_s/(kg·m⁻³)	$\sigma $_as/MPa	p_c/MPa
S3-1 S3-2 S3-3 S3-4 S3-5 S3-6 S3-7	24.97 25.26 25.38 25.26 25.35 25.04 24.94	49.56 49.60 49.53 49.84 49.90 49.88 49.65	2591 2571 2567 2561 2580 2564 2628	5 15 20 15 20 15 20	0.8 0.8 0.8 1.0 1.0 1.2 1.2

下载: 导出CSV

表 3 代表性试样的总循环冲击次数

Table 3. Total number of the cyclic impacts of the representative samples

S3-1	S3-2	S3-3	S3-4	S3-5	S3-6	S3-7
15	10	8	11	9	6	2

下载: 导出CSV

参考文献(21)

[1]	余永强, 张文龙, 范利丹, 等. 冲击荷载下煤系砂岩应变率效应及能量耗散特征 [J]. 煤炭学报, 2021, 46(7): 2281–2293. doi: 10.13225/j.cnki.jccs.2020.0440 YU Y Q, ZHANG W L, FAN L D, et al. Strain rate effect and energy dissipation characteristics of sandstone in coal measures under impact loading [J]. Journal of China Coal Society, 2021, 46(7): 2281–2293. doi: 10.13225/j.cnki.jccs.2020.0440
[2]	LI H B, XIA X, LI J C, et al. Rock damage control in bedrock blasting excavation for a nuclear power plant [J]. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(2): 210–218. doi: 10.1016/j.ijrmms.2010.11.016
[3]	姜耀东, 潘一山, 姜福兴, 等. 我国煤炭开采中的冲击地压机理和防治 [J]. 煤炭学报, 2014, 39(2): 205–213. doi: 10.13225/j.cnki.jccs.2013.0024 JIANG Y D, PAN Y S, JIANG F X, et al. State of the art review on mechanism and prevention of coal bumps in China [J]. Journal of China Coal Society, 2014, 39(2): 205–213. doi: 10.13225/j.cnki.jccs.2013.0024
[4]	金解放, 李夕兵, 常军然, 等. 循环冲击作用下岩石应力应变曲线及应力波特性 [J]. 爆炸与冲击, 2013, 33(6): 613–619. doi: 10.11883/1001-1455(2013)06-0613-07 JIN J F, LI X B, CHANG J R, et al. Stress-strain curve and stress wave characteristics of rock subjected to cyclic impact loadings [J]. Explosion and Shock Waves, 2013, 33(6): 613–619. doi: 10.11883/1001-1455(2013)06-0613-07
[5]	金解放, 李夕兵, 殷志强, 等. 轴压和循环冲击次数对砂岩动态力学特性的影响 [J]. 煤炭学报, 2012, 37(6): 923–930. doi: 10.13225/j.cnki.jccs.2012.06.002 JIN J F, LI X B, YIN Z Q, et al. Effects of axial pressure and number of cyclic impacts on dynamic mechanical characteristics of sandstone [J]. Journal of China Coal Society, 2012, 37(6): 923–930. doi: 10.13225/j.cnki.jccs.2012.06.002
[6]	金解放, 李夕兵, 王观石, 等. 循环冲击载荷作用下砂岩破坏模式及其机理 [J]. 中南大学学报(自然科学版), 2012, 43(4): 1453–1461. JIN J F, LI X B, WANG G S, et al. Failure modes and mechanisms of sandstone under cyclic impact loadings [J]. Journal of Central South University (Science and Technology), 2012, 43(4): 1453–1461.
[7]	王志亮, 杨辉, 田诺成. 单轴循环冲击下花岗岩力学特性与损伤演化机理 [J]. 哈尔滨工业大学学报, 2020, 52(2): 59–66. doi: 10.11918/201811085 WANG Z L, YANG H, TIAN N C. Mechanical property and damage evolution mechanism of granite under uniaxial cyclic impact [J]. Journal of Harbin Institute of Technology, 2020, 52(2): 59–66. doi: 10.11918/201811085
[8]	田诺成, 王志亮, 熊峰, 等. 循环冲击荷载下轴压对花岗岩动力学特性的影响 [J]. 哈尔滨工业大学学报, 2021, 53(5): 156–164. doi: 10.11918/201908134 TIAN N C, WANG Z L, XIONG F, et al. Influence of axial pressure on dynamic mechanical properties of granite under cyclic impact loading [J]. Journal of Harbin Institute of Technology, 2021, 53(5): 156–164. doi: 10.11918/201908134
[9]	LI X B, LOK T S, ZHAO J. Dynamic characteristics of granite subjected to intermediate loading rate [J]. Rock Mechanics and Rock Engineering, 2005, 38(1): 21–39. doi: 10.1007/s00603-004-0030-7
[10]	唐礼忠, 王春, 程露萍, 等. 一维静载及循环冲击共同作用下矽卡岩力学特性试验研究 [J]. 中南大学学报(自然科学版), 2015, 46(10): 3898–3906. doi: 10.11817/j.issn.1672-7207.2015.10.045 TANG L Z, WANG C, CHENG L P, et al. Experimental study of mechanical characteristics of skarn under one-dimensional coupled static and cyclic impact loads [J]. Journal of Central South University (Science and Technology), 2015, 46(10): 3898–3906. doi: 10.11817/j.issn.1672-7207.2015.10.045
[11]	宫凤强, 李夕兵, 刘希灵, 等. 一维动静组合加载下砂岩动力学特性的试验研究 [J]. 岩石力学与工程学报, 2010, 29(10): 2076–2085. GONG F Q, LI X B, LIU X L, et al. Experimental study of dynamic characteristics of sandstone under one-dimensional coupled static and dynamic loads [J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(10): 2076–2085.
[12]	QIU J D, LI D Y, LI X B. Dynamic failure of a phyllite with a low degree of metamorphism under impact Brazilian test [J]. International Journal of Rock Mechanics and Mining Sciences, 2017, 94: 10–17. doi: 10.1016/j.ijrmms.2017.02.013
[13]	邱加冬, 李地元, 李夕兵, 等. 预制缺陷对花岗岩层裂破坏的影响 [J]. 爆炸与冲击, 2018, 38(3): 665–670. doi: 10.11883/bzycj-2016-0310 QIU J D, LI D Y, LI X B, et al. Effect of pre-existing flaws on spalling fracture of granite [J]. Explosion and Shock Waves, 2018, 38(3): 665–670. doi: 10.11883/bzycj-2016-0310
[14]	ZHOU Y X, XIA K, LI X B, et al. Suggested methods for determining the dynamic strength parameters and mode-Ⅰ fracture toughness of rock materials [J]. International Journal of Rock Mechanics and Mining Sciences, 2012, 49: 105–112. doi: 10.1016/j.ijrmms.2011.10.004
[15]	宋力, 胡时胜. SHPB数据处理中的二波法与三波法 [J]. 爆炸与冲击, 2005, 25(4): 368–373. doi: 10.11883/1001-1455(2005)04-0368-06 SONG L, HU S S. Two-wave and three-wave method in SHPB data processing [J]. Explosion and Shock Waves, 2005, 25(4): 368–373. doi: 10.11883/1001-1455(2005)04-0368-06
[16]	WANG P, YIN T B, LI X B, et al. Dynamic properties of thermally treated granite subjected to cyclic impact loading [J]. Rock Mechanics and Rock Engineering, 2019, 52(4): 991–1010. doi: 10.1007/s00603-018-1606-y
[17]	李夕兵. 岩石动力学基础与应用 [M]. 北京: 科学出版社, 2014. LI X B. Rock dynamics fundamentals and applications [M]. Beijing: Science Press, 2014.
[18]	金解放, 李夕兵, 钟海兵. 三维静载与循环冲击组合作用下砂岩动态力学特性研究 [J]. 岩石力学与工程学报, 2013, 32(7): 1358–1372. doi: 10.3969/j.issn.1000-6915.2013.07.010 JIN J F, LI X B, ZHONG H B. Study of dynamic mechanical characteristic of sandstone subjected to three-dimensional coupled static-cyclic impact loadings [J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(7): 1358–1372. doi: 10.3969/j.issn.1000-6915.2013.07.010
[19]	宫凤强, 李夕兵, 刘希灵. 三维动静组合加载下岩石力学特性试验初探 [J]. 岩石力学与工程学报, 2011, 30(6): 1179–1190. GONG F Q, LI X B, LIU X L. Preliminary experimental study of characteristics of rock subjected to 3D coupled static and dynamic loads [J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(6): 1179–1190.
[20]	于洋, 徐倩, 刁心宏, 等. 循环冲击对围压作用下砂岩特征的影响 [J]. 华中科技大学学报(自然科学版), 2019, 47(6): 127–132. doi: 10.13245/j.hust.190623 YU Y, XU Q, DIAO X H, et al. Effect of cyclic impact on sandstone characteristics under confining pressures [J]. Journal of Huazhong University of Science and Technology (Nature Science Edition), 2019, 47(6): 127–132. doi: 10.13245/j.hust.190623
[21]	马佳骥. 一维动静组合加载下损伤岩石力学特性研究 [D]. 石家庄: 石家庄铁道大学, 2019. MA J J. Study on mechanical properties of damaged rock under one-dimensional dynamic and static loading [D]. Shijiazhuang: Shijiazhuang Tiedao University, 2019.