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

YANG Renshu; XIAO Chenglong; DING Chenxi; CHEN Cheng; ZHAO Yong; ZHENG Changda

doi:10.11883/bzycj-2019-0091

Volume 40 Issue 5

May 2020

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2020 > 40(5): 052202

YANG Renshu, XIAO Chenglong, DING Chenxi, CHEN Cheng, ZHAO Yong, ZHENG Changda. Experimental study on dynamic caustics of interaction between void and running crack[J]. Explosion And Shock Waves, 2020, 40(5): 052202. doi: 10.11883/bzycj-2019-0091

Citation:

YANG Renshu, XIAO Chenglong, DING Chenxi, CHEN Cheng, ZHAO Yong, ZHENG Changda. Experimental study on dynamic caustics of interaction between void and running crack[J]. Explosion And Shock Waves, 2020, 40(5): 052202. doi: 10.11883/bzycj-2019-0091

Citation:

PDF( 3824 KB)

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

doi: 10.11883/bzycj-2019-0091

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

Received Date: 2019-03-26
Rev Recd Date: 2019-07-12

Available Online: 2020-03-25

Publish Date: 2020-05-01

Abstract

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

FullText(HTML)

References(22)

References

[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.