Experimental study on crack propagation of brittle materials based on DIC under explosive loading

SUN Qiang; LI Xuedong; YAO Tengfei; GAO Chun

doi:10.11883/bzycj-2018-0308

Volume 39 Issue 10

Oct. 2019

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2019 > 39(10): 103102

SUN Qiang, LI Xuedong, YAO Tengfei, GAO Chun. Experimental study on crack propagation of brittle materials based on DIC under explosive loading[J]. Explosion And Shock Waves, 2019, 39(10): 103102. doi: 10.11883/bzycj-2018-0308

Citation:

SUN Qiang, LI Xuedong, YAO Tengfei, GAO Chun. Experimental study on crack propagation of brittle materials based on DIC under explosive loading[J]. Explosion And Shock Waves, 2019, 39(10): 103102. doi: 10.11883/bzycj-2018-0308

Citation:

PDF( 5357 KB)

Experimental study on crack propagation of brittle materials based on DIC under explosive loading

doi: 10.11883/bzycj-2018-0308

School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China

Received Date: 2018-08-21
Rev Recd Date: 2019-04-07

Available Online: 2019-09-25

Publish Date: 2019-10-01

Abstract

Abstract

In this paper, the digital image correlation method is used to test the tip position of the brittle material in the explosion loading strip, the stress intensity factor calculation considering the inertia effect and the crack propagation law. Firstly, the symmetry experimental model is used to realize the intuitive positioning of the crack tip, and the more accurate full-field strain and displacement information is recorded. By analyzing the main strain field at the crack tip, the maximum strain point cannot be used as the crack tip. Judgments based. Secondly, based on the fracture dynamics, the crack propagation length, the crack propagation velocity and the displacement information of the data points in a certain area of the tip are obtained according to the crack tip position. The differential principle and the least squares Newton iteration method are used to calculate the inertial effect. The stress intensity factor of the I-II hybrid crack, wherein the K_I maximum is 2.63 MPa·m^1/2 and the minimum value is 0.89 MPa·m^1/2. The overall trend of K_II has remained basically the same, but due to the complexity of the late stage of the model, the crack propagation direction changes and the mutation occurs; Then, the overall trend of the stress intensity factor shows that the crack propagation of the brittle material develops in a cyclically decreasing manner with the energy accumulation and release under explosive loading conditions, but the variation range is relatively large when crack initiation and crack arrest occur, and in the test. The late expansion crack is an I-II hybrid type. Finally, the crack propagation length and stress intensity factor change trend are compared with the actual test results. The two are basically the same, which indicates that the test method and the theoretical calculation result can be well matched, and the experimental precision is high, which is feasible.
- digital image correlation method,
- blast load,
- brittle material,
- stress intensity factor,
- crack propagation

FullText(HTML)

References(31)

References

[1]	朱振海, 魏有志. 爆炸应力场的动光弹性分析 [J]. 力学与实践, 1987, 9(6): 43–46. DOI: 10.6052/1000-0992-1987-124. ZHU Zhenhai, WEI Youzhi. Dynamic and optical elastic analysis of explosive stress field [J]. Mechanics in Engineering, 1987, 9(6): 43–46. DOI: 10.6052/1000-0992-1987-124.
[2]	朱振海. 爆炸应力波对高速扩展裂纹影响的动态光弹性试验研究 [J]. 爆炸与冲击, 1993, 13(2): 178–185. ZHU Zhenhai. Dynamic photoelasticity test of the effect of explosion stress wave on high-speed propagation crack [J]. Explosion and Shock Waves, 1993, 13(2): 178–185.
[3]	杨仁树, 杨立云, 孙强, 等. 数字激光爆炸加载动光弹实验系统: CN102589766A[P]. 2012.
[4]	杨仁树, 陈程, 岳中文, 等. 正入射爆炸应力波与运动裂纹作用的动态光弹性实验研究 [J]. 煤炭学报, 2018, 43(01): 87–94. DOI: 10.13225/j.cnki.jccs.2017.0353. YANG Renshu, CHEN Cheng, YUE Zhong, et al. Dynamic photoelastic experimental study of normal incident blast stress wave and motion crack [J]. Journal of China Coal Society, 2018, 43(01): 87–94. DOI: 10.13225/j.cnki.jccs.2017.0353.
[5]	杨立云, 许鹏, 郭东明, 等. 新型数字激光动光弹性实验技术在爆炸力学中的应用 [J]. 科技导报, 2013, 31(15): 27–30. DOI: 10.3981/j.issn.1000-7857.2013.15.003. YANG Liyun, XU Peng, GUO Dongming, et al. Application of new digital laser dynamic photoelastic experiment technology in explosion mechanics [J]. Science & Technology Review, 2013, 31(15): 27–30. DOI: 10.3981/j.issn.1000-7857.2013.15.003.
[6]	SCHWIEGER H. A new application of differential interferometry for stress analysis [J]. Experimental Mechanics, 1984, 24(4): 277–285. DOI: 10.1007/BF02323988.
[7]	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.
[8]	RAVI-CHANDAR K, KNAUSS W G. An experimental investigation into dynamic fracture: Ⅲ. On steady-state crack propagation and crack branching [J]. International Journal of Fracture, 1984, 26(2): 141–154. DOI: 10.1007/BF01157550.
[9]	THEOCARIS P S, PAPADOPOULOS G A, MILIOS J. Crack interaction in bending due to impact [J]. International Journal of Impact Engineering, 1984, 2: 131–149. DOI: 10.1016/0734-743X(84)90002-2.
[10]	李清, 杨仁树, 李均雷, 等. 爆炸荷载作用下动态裂纹扩展试验研究 [J]. 岩石力学与工程学报, 2005, 24(16). DOI: 10.3321/j.issn:1000-6915.2005.16.001. LI Qing, YANG Renshu, LI Junlei, et al. Experimental study on dynamic crack propagation under blast loading [J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(16). DOI: 10.3321/j.issn:1000-6915.2005.16.001.
[11]	杨立云, 马佳辉, 王学东, 等. 压应力场中爆生裂纹分布与扩展特征实验分析 [J]. 爆炸与冲击, 2017, 37(2): 262–268. DOI: 10.11883/1001-1455(2017)02-0262-07. YANG Liyun, MA Jiahui, WANG Xuedong, et al. Experimental analysis of distribution and propagation characteristics of cracking in compressive stress field [J]. Explosion and Shock Waves, 2017, 37(2): 262–268. DOI: 10.11883/1001-1455(2017)02-0262-07.
[12]	杨仁树, 杨立云, 岳中文. 爆炸加载反射式焦散线实验方法与技术探讨[C]// 中国工程科技论坛第125场, 2011: 378−386.
[13]	刘彩平. 反射式焦散法对岩石类介质的适用性研究[C]// 北京力学会学术年会. 2009.
[14]	PETERS W H, RANSON W F. Digital imaging techniques in experimental stress analysis [J]. Optical Engineering, 1982, 21(3): 213427.
[15]	潘兵, 谢惠民, 戴福隆. 数字图像相关中亚像素位移测量算法的研究 [J]. 力学学报, 2007, 23(2): 245–252. DOI: 10.3969/j.issn.0258-1825.2007.02.020. PAN Bing, XIE Huimin, DAI Fulong. Research on the measurement algorithm of sub-pixel displacement in digital image correlation [J]. Chinese Journal of Theoretical & Applied Mechanics, 2007, 23(2): 245–252. DOI: 10.3969/j.issn.0258-1825.2007.02.020.
[16]	潘兵, 谢惠民, 续伯钦, 等. 数字图像相关中的亚像素位移定位算法进展 [J]. 力学进展, 2005, 35(3): 345–352. DOI: 10.3321/j.issn:1000-0992.2005.03.005. PAN Bing, XIE Huimin, XU Boqin, et al. Progress of sub-pixel displacement localization algorithm in digitalimage correlation [J]. Advances in Mechanics, 2005, 35(3): 345–352. DOI: 10.3321/j.issn:1000-0992.2005.03.005.
[17]	潘兵, 谢惠民. 数字图像相关中基于位移场局部最小二乘拟合的全场应变测量 [J]. 光学学报, 2007, 27(11): 1980–1986. DOI: 10.3321/j.issn:0253-2239.2007.11.012. PAN Bing, XIE Huimin. Full field strain measurement based on local least squares fitting of displacement field in digital image correlation [J]. Acta Optica Sinica, 2007, 27(11): 1980–1986. DOI: 10.3321/j.issn:0253-2239.2007.11.012.
[18]	赵程, 鲍冲, 松田浩, 等. 数字图像技术在节理岩体裂纹扩展试验中的应用研究 [J]. 岩土工程学报, 2015, 37(5): 944–951. DOI: 10.11779/CJGE201505022. ZHAO Cheng, BAO Chong, SONG Tianhao, et al. Application of digital image technology in crack propagation test of jointed rock mass [J]. Chinese Journal of Geotechnical Engineering, 2015, 37(5): 944–951. DOI: 10.11779/CJGE201505022.
[19]	孙强, 王启乾, 刘国有, 等. 基于超高速DIC方法的近距侧爆破地铁隧道应变场分析 [J]. 矿业科学学报, 2018(1). DOI: 10.19606/j.cnki.jmst.2018.01.005. SUN Qiang, WANG Qiqian, LIU Guoyou, et al. Strain field analysis of metro tunnels with near-side blasting based on ultra-high speed DIC method [J]. Journal of Mining Science, 2018(1). DOI: 10.19606/j.cnki.jmst.2018.01.005.
[20]	杨立云, 王学东, 孙金超, 等. 超高速数字图像相关实验的参数优化[C]// 全国煤炭工业生产一线青年技术创新文集. 2016.
[21]	陆渝生, 邹同彬, 连志颖, 等. 动光弹等差条纹的分析与判读 [J]. 解放军理工大学自然科学版, 2003, 4(4): 49–53. DOI: 10.7666/j.issn.1009-3443.20030412. LU Yusheng, ZOU Tongbin, LIAN Zhiying, et al. Analysis and interpretation of theisometric stripes of moving lights [J]. PLA Natural Science Edition, 2003, 4(4): 49–53. DOI: 10.7666/j.issn.1009-3443.20030412.
[22]	苏先基, 刘承. 焦散线实验方法综述 [J]. 实验力学, 1987(2): 3–29. SU Xianji, LIU Cheng. Summary of experimental methods of caustics [J]. Journal of Experimental Mechanics, 1987(2): 3–29.
[23]	代树红, 马胜利, 潘一山. 数字图像相关法测定岩石Ⅰ-Ⅱ复合型裂纹应力强度因子 [J]. 岩土工程学报, 2013, 35(7): 1362–1368. DAI Shuhong, MA Shengli, PAN Yishan. Determination of stress intensity factor of rock I-Ⅱ composite crack by digital image correlation method [J]. Chinese Journal of Geotechnical Engineering, 2013, 35(7): 1362–1368.
[24]	李清, 赵艳苹, 马英丽, 等. 动焦散线在爆炸裂纹扩展试验研究中的应用 [J]. 工程爆破, 2005, 11(3): 5–8. DOI: 10.3969/j.issn.1006-7051.2005.03.002. LI Qing, ZHAO Yanping, MA Yingli, et al. Application of dynamic caustics in experimental study of explosion crack growth [J]. Engineering Blasting, 2005, 11(3): 5–8. DOI: 10.3969/j.issn.1006-7051.2005.03.002.
[25]	类维生, 苏燕, 董建令, 等. 动态断裂过程的惯性效应 [J]. 理化检验(物理分册), 1996(4): 32–34. WEI Weisheng, SU Yan, DONG Jianling, et al. Inertia Effect of Dynamic Fracture Process [J]. Physical and Chemical Testing (Physical Section), 1996(4): 32–34.
[26]	范天佑. 断裂动力学[M]. 北京: 北京理工大学出版社, 2006.
[27]	马宏伟, 吴斌. 弹性动力学及其数值方法[M]. 中国建材工业出版社, 2000.
[28]	HARILAL R, VYASARAYANI C P, RAMJI M. A linear least squares approach for evaluation of crack tip stress field parameters using DIC [J]. Optics & Lasers in Engineering, 2015, 75: 95–102. DOI: 10.1016/j.optlaseng.2015.07.004.
[29]	潘兵, 吴大方, 夏勇. 数字图像相关方法中散斑图的质量评价研究 [J]. 实验力学, 2010, 25(2): 120–129. PAN Bing, WU Dafang, XIA Yong. Research on quality evaluation of speckle pattern in digital image correlation method [J]. Laboratory Mechanics, 2010, 25(2): 120–129.
[30]	WITHERS P J, LOPEZ-CRESPO P, SHTERENLIKHT A, et al. The stress intensity of mixed mode cracks determined by digital image correlation [J]. Transactions of the Royal Society of Tropical Medicine & Hygiene, 2008, 81(5): 771–772. DOI: 10.1016/0035-9203(87)90027-7.
[31]	DU Y, DIAZ F A, BURGUETE R L, et al. Evaluation using digital image correlation of stressintensity factors in an aerospace panel [J]. Experimental Mechanics, 2011, 51(1): 45–57. DOI: 10.1007/s11340-010-9335-5.