空孔与运动裂纹相互作用的动焦散线实验研究

杨仁树; 肖成龙; 丁晨曦; 陈程; 赵勇; 郑昌达

doi:10.11883/bzycj-2019-0091

空孔与运动裂纹相互作用的动焦散线实验研究

doi: 10.11883/bzycj-2019-0091

杨仁树^{1, 2,},
肖成龙^{1, 3, ,},
丁晨曦^{1, 3},
陈程^{1, 3},
赵勇^{1, 3},
郑昌达^{1, 3}

1.
中国矿业大学(北京)深部岩土力学与地下工程国家重点实验室，北京 100083
2.
北京科技大学土木与资源学院，北京 100083
3.
中国矿业大学(北京)力学与建筑工程学院，北京 100083

基金项目: 国家重点研发计划专项（2016YFC0600903）；国家自然科学基金(51774287)

详细信息

作者简介:
杨仁树（1963－　），男，博士，教授，博士生导师，yrs@cumtb.edu.cn

通讯作者:
肖成龙（1994－　），男，博士研究生，xcl_cumtb@163.com

中图分类号: O341; O346
计量
- 文章访问数: 5609
- HTML全文浏览量: 1555
- PDF下载量: 64
- 被引次数: 0
出版历程
- 收稿日期: 2019-03-26
- 修回日期: 2019-07-12
- 网络出版日期: 2020-03-25
- 刊出日期: 2020-05-01

Experimental study on dynamic caustics of interaction between void and running crack

YANG Renshu^{1, 2
,},
XIAO Chenglong^{1, 3
, ,},
DING Chenxi^{1, 3},
CHEN Cheng^{1, 3},
ZHAO Yong^{1, 3},
ZHENG Changda^{1, 3}

1.
State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China
2.
Civil and Resource Engineering School, University of Science and Technology Beijing, Beijing 100083, China
3.
School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China

摘要

摘要: 为研究预制裂纹不同偏移距离时运动裂纹与空孔的相互作用规律，采用动态焦散线实验系统，将预制裂纹的偏移距离设定为唯一变量，对含空孔的有机玻璃(PMMA)试件进行冲击三点弯实验。研究表明，存在两个临界距离：（6 mm (2 R )、9 mm (3 R )），在该偏移距离下，裂纹扩展轨迹、动态断裂特性发生显著改变：(1) 预制裂纹偏移距离不大于3 mm时，裂纹贯穿空孔，发生二次起裂，且二次起裂的速度与应力强度因子显著大于一次起裂，无偏移时裂纹轨迹的分形维数为最小值；(2) 偏移距离增大至6 mm时，裂纹不再贯穿空孔，空孔对裂纹先吸引后排斥，裂纹速度与应力强度因子先减小后增大，裂纹轨迹的分形维数达到最大值；(3) 偏移距离大于6 mm时，空孔对裂纹的吸引作用逐渐减小，大于9 mm后，空孔对裂纹的吸引不再显著，裂纹起裂后即向落锤加载方向扩展直至贯穿试件。
- 动态焦散线 /
- 冲击荷载 /
- 空孔 /
- 裂纹扩展 /
- 分形维数
Abstract: In order to study the interaction between running cracks and voids in the offset distance of different prefabricated cracks, setting the offset distance of the pre-crack as the unique variables, do impact three-point bending test on PMMA specimens with voids based on dynamic caustics experiment system. Researches show that: There are two critical distances, 6 mm (2R), 9 mm (3R). At these distances, the extended trajectory and dynamic fracture characteristics of the crack change significantly. (1) When the pre-crack offset distance is no greater than 3 mm, the specimen cracks for the second time. The rate and stress intensity factor of the second crack initiation are significantly greater than the first. The fractal dimension of the crack trajectory is the minimum when the pre-crack does not offset. (2) When the offset distance is increased to 6 mm, the void is attracted to the crack and then repelled, but the crack never penetrates the void. Crack velocity and stress intensity factor decrease firstly and then increase. The fractal dimension of the crack trajectory is up to the maximum. (3)When the offset distance is greater than 6 mm, the attraction of voids to cracks is gradually reduced. When the offset distance is greater than 9 mm, the attraction of void to cracks is no longer significant. Crack expands to the falling hammer after crack initiation and finally penetrates the test piece.
- dynamic caustics /
- impact load /
- void /
- crack propagation /
- fractal dimension

HTML全文

图 1 数字激光动态焦散线实验系统

Figure 1. The system of digital laser dynamic caustics

下载: 全尺寸图片幻灯片

图 2 试件模型示意

Figure 2. Sketch map of the specimen

下载: 全尺寸图片幻灯片

图 3 冲击加载装置

Figure 3. Impact loading system

下载: 全尺寸图片幻灯片

图 4 裂纹扩展轨迹

Figure 4. Crack propagation paths in different specimens

下载: 全尺寸图片幻灯片

图 5 动态焦散斑系列图像

Figure 5. Dynamic caustic spots of specimens

下载: 全尺寸图片幻灯片

图 6 裂纹扩展速度随时间变化

Figure 6. Change of crack growth speed with time

下载: 全尺寸图片幻灯片

图 7 裂纹应力强度因子随时间的变化曲线

Figure 7. Change of crack stress intensity factor with time

下载: 全尺寸图片幻灯片

图 8 裂纹轨迹二值图

Figure 8. Binary diagrams of the crack trajectories in different specimens

下载: 全尺寸图片幻灯片

图 9 裂纹轨迹的计盒维数拟合曲线

Figure 9. Box-counting dimension fitting curves of crack trajectories in different specimens

下载: 全尺寸图片幻灯片

参考文献(22)

[1]	KALTHOFF J F, WINKLER S, BEINERT J. The influence of dynamic effects in impact testing [J]. International Journal of Fracture, 1977, 13(4): 528–531.
[2]	RUBINSTEIN A A. Macrocrack-microdefect interaction [J]. Journal of Applied Mechanics, 1986, 53(3): 505–510. DOI: 10.1115/1.3171803.
[3]	姚学锋, 熊春阳, 方竞. 含偏置裂纹三点弯曲梁的动态断裂行为研究 [J]. 力学学报, 1996, 28(6): 661–669. DOI: 10.3321/j.issn:0459-1879.1996.06.003. YAO X F, XIONG C Y, FANG J. Study of dynamic fracture behaviour on three-point-bend beam with off-center edge-crack [J]. Acta Mechanica Sinica, 1996, 28(6): 661–669. DOI: 10.3321/j.issn:0459-1879.1996.06.003.
[4]	岳中文, 宋耀, 陈彪, 等. 冲击载荷下层状岩体动态断裂行为的模拟试验研究 [J]. 振动与冲击, 2017, 36(12): 223–229. YUE Z W, SONG Y, CHEN B, et al. A study on the behaviors of dynamic fracture in layered rocks under impact loading [J]. Journal of Vibration and Shock, 2017, 36(12): 223–229.
[5]	李清, 郭洋, 马万权, 等. 半圆盘构件冲击断裂特性的动态焦散线实验研究 [J]. 振动与冲击, 2016, 35(9): 52–58. LI Q, GUO Y, MA W Q, et al. Dynamic caustics tests for semi-circular specimen under impact loading [J]. Journal of Vibration and Shock, 2016, 35(9): 52–58.
[6]	杨仁树, 丁晨曦, 杨立云, 等. 含缺陷结构的冲击断裂试验研究 [J]. 振动与冲击, 2016, 35(15): 103–108. YANG R S, DING C X, YANG L Y, et al. Tests for structures with flaws under impact loading [J]. Journal of Vibration and Shock, 2016, 35(15): 103–108.
[7]	杨立云, 张勇进, 孙金超, 等. 偏置裂纹对含双裂纹PMMA试件动态断裂影响效应研究 [J]. 矿业科学学报, 2017(4): 28–33. YANG L Y, ZHANG Y J, SUN J C, et al. The effect of offset distance on dynamic fracture behavior of PMMA with double cracks [J]. Journal of Mining Science and Technology, 2017(4): 28–33.
[8]	杨立云, 杨仁树, 许鹏. 新型数字激光动态焦散线实验系统及其应用 [J]. 中国矿业大学学报, 2013, 42(2): 188–194. YANG L Y, YANG R S, XU P. Caustic method combined with laser & digital high-speed camera and its application [J]. Journal of China University of Mining and Technology, 2013, 42(2): 188–194.
[9]	KALTHOFF J F, WINKLER S, BEINERT J. Dynamic stress intensity factors for arresting cracks in DCB specimens [J]. International Journal of Fracture, 1976, 12(2): 317–319. DOI: 10.1007/BF00036990.
[10]	杨仁树, 王雁冰, 岳中文, 等. 定向断裂双孔爆破裂纹扩展的动态行为 [J]. 爆炸与冲击, 2013, 33(6): 631–637. DOI: 10.11883/1001-1455(2013)06-0631-07. YANG R S, WANG Y B, YUE Z W, et al. Dynamic behaviors of crack propagation in directional fracture blasting with two holes [J]. Explosion and Shock Waves, 2013, 33(6): 631–637. DOI: 10.11883/1001-1455(2013)06-0631-07.
[11]	宋俊生, 王雁冰, 高祥涛, 等. 定向断裂控制爆破机理及应用 [J]. 矿业科学学报, 2016, 1(1): 16–28. SONG J S, WANG Y B, GAOL X T, et al. The mechanism of directional fracture controlled blasting and its application [J]. Journal of Mining Science and Technology, 2016, 1(1): 16–28.
[12]	LAGARDE A. Static and dynamic photoelasticity and caustics recent developments [M]// Static and Dynamic Photoelasticity and Caustics. Vienna: Springer, 1987.
[13]	肖同社, 杨仁树, 庄金钊, 等. 节理岩体爆生裂纹扩展动态焦散线模型实验研究 [J]. 爆炸与冲击, 2007, 27(2): 159–164. DOI: 10.11883/1001-1455(2007)02-0159-06. XIAO T S, YANG R S, ZHUANG J Z, et al. Dynamic caustics model experiment of blasting crack developing on sandwich rock [J]. Explosion and Shock Waves, 2007, 27(2): 159–164. DOI: 10.11883/1001-1455(2007)02-0159-06.
[14]	ROSSMANITH H, DAEHNKE A, NASMILLNER R, et al. Fracture mechanics applications to drilling and blasting [J]. Fatigue and Fracture of Engineering Materials and Structures, 1997, 20(11): 1617–1636. DOI: 10.1111/j.1460-2695.1997.tb01515.x.
[15]	杨仁树, 陈程, 赵勇, 等. 空孔-裂纹偏置方式对PMMA冲击断裂动态行为的影响 [J]. 振动与冲击, 2018, 37(20): 127–133. YANG R S, CHEN C, ZHAO Y, et al. Influence of the void-crack offset method on the dynamic behavior of PMMA during impact fracture [J]. Journal of Vibration and Shock, 2018, 37(20): 127–133.
[16]	MANDELBROT, BENOIT B. The fractal geometry of nature [J]. American Journal of Physics, 1983, 51(3): 286. DOI: 10.1119/1.13295.
[17]	谢和平. 分形: 岩石力学导论[M]. 北京: 科学出版社, 1996.
[18]	谢和平. 分形应用中的数学基础与方法[M]. 北京: 科学出版社, 1997.
[19]	JU Y, XI C, ZHANG Y, et al. Laboratory in situ CT observation of the evolution of 3D fracture networks in coal subjected to confining pressures and axial compressive loads: a novel approach [J]. Rock Mechanics and Rock Engineering, 2018, 51(11): 3361–3375. DOI: 10.1007/s00603-018-1459-4.
[20]	杨军, 王树仁. 岩石爆破分形损伤模型研究 [J]. 爆炸与冲击, 1996, 16(1): 5–10. YANG J, WANG S R. Study on fractal damage model of rock fragmentation by blasting [J]. Explosion and Shock Waves, 1996, 16(1): 5–10.
[21]	彭瑞东, 谢和平, 鞠杨. 二维数字图像分形维数的计算方法 [J]. 中国矿业大学学报, 2004(1): 22–27. PENG R D, XIE H P, JU Y. Computation method of fractal dimension for 2-D digital image [J]. Journal of China University of Mining and Technology, 2004(1): 22–27.
[22]	周宏伟, 谢和平. 岩石节理张开度的分形描述 [J]. 水文地质工程地质, 1999(1): 3–6. ZHOU H W, XIE H P. The fractal description on the opening of a rock fracture [J]. Hydrogeology and Engineering Geology, 1999(1): 3–6.