Determination of dynamic initiation toughness and propagation toughness of sandstone using CSTBD specimens

Yang Jing-rui; Zhang Cai-gui; Zhou Yan; Wang Qi-zhi

doi:10.11883/1001-1455(2014)03-0264-08

Volume 34 Issue 3

Aug. 2014

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Yang Jing-rui, Zhang Cai-gui, Zhou Yan, Wang Qi-zhi. Determination of dynamic initiation toughness and propagation toughness of sandstone using CSTBD specimens[J]. Explosion And Shock Waves, 2014, 34(3): 264-271. doi: 10.11883/1001-1455(2014)03-0264-08

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Yang Jing-rui, Zhang Cai-gui, Zhou Yan, Wang Qi-zhi. Determination of dynamic initiation toughness and propagation toughness of sandstone using CSTBD specimens[J]. Explosion And Shock Waves, 2014, 34(3): 264-271. doi: 10.11883/1001-1455(2014)03-0264-08

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Determination of dynamic initiation toughness and propagation toughness of sandstone using CSTBD specimens

doi: 10.11883/1001-1455(2014)03-0264-08

Department of Civil Engineering and Applied Mechanics, Sichuan University, Chengdu 610065, Sichuan, China

Funds: Supported by the National Natural Science Foundation of China (51179115)

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Corresponding author: Wang Qi-zhi, qzwang2004@163.com
Received Date: 2012-11-22
Publish Date: 2014-05-25

Abstract

Abstract

The CSTBD (cracked straight-through Brazilian disc) specimens of sandstone were diametrically impacted by the split Hopkinson pressure bar of large diameter in the mode-Ⅰ (opening mode) rock dynamic fracture test.The experimental-numerical method was employed to obtain the dynamic initiation toughness under different dynamic loading rates; and based on some theoretical analysis and reasonable simplification, the experimental-numerical method and universal function were employed to obtain the dynamic propagation toughness with different crack velocities.In order to verify the validity of the universal function and the experimental-numerical method, comparisons with well-established references of concern were made, and our results present the same law of phenomena as those derived from other researchers.Increases in the dynamic initiation toughness and the dynamic propagation toughness were observed with increasing dynamic loading rate and crack tip speed, respectively.

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References(32)

References

[1]	范天佑.应用断裂动力学基础[M].北京: 北京理工大学出版社, 2006: 38-43, 108-130.
[2]	王自强, 陈少华.高等断裂力学[M].北京: 科学出版社, 2009: 271-324.
[3]	Jiang F C, Vecchio K S. Hopkinson bar loaded fracture experimental technique: A critical review of dynamic fracture toughness tests[J]. Applied Mechanics Reviews, 2009, 62(6): 060802-1-060802-39. doi: 10.1115/1.3124647
[4]	陈德兴, 胡时胜, 张守保, 等.大尺寸Hopkinson压杆及其应用[J].实验力学, 2005, 20(3): 398-402. Chen De-xing, Hu Shi-sheng, Zhang Shou-bao, et al. Large dimension Hopkinson pressure bar and its application[J]. Journal of Experimental Mechanics, 2005, 20(3): 398-402.
[5]	李世愚, 和泰名, 尹祥础, 等.岩石断裂力学导论[M].合肥: 中国科学技术大学出版社, 2010: 187-194.
[6]	Zhou J, Wang Y, Xia Y M. Mode-Ⅰ fracture toughness of PMMA at high loading rates[J]. Journal of Materials Science, 2006, 41: 8363-8366. doi: 10.1007/s10853-006-0980-0
[7]	张盛, 王启智, 谢和平.岩石动态断裂韧度的尺寸效应[J].爆炸与冲击, 2008, 28(6): 544-551. doi: 10.3321/j.issn:1001-1455.2008.06.011 Zhang Sheng, Wang Qi-zhi, Xie He-ping. Size effect of rock dynamic fracture toughness[J]. Explosion and Shock Waves, 2008, 28(6): 544-551. doi: 10.3321/j.issn:1001-1455.2008.06.011
[8]	Wang Q Z, Feng F, Ni M, et al. Measurement of mode Ⅰ and mode Ⅱ rock dynamic fracture toughness with cracked straight through flattened Brazilian disc impacted by split Hopkinson pressure bar[J]. Engineering Fracture Mechanics, 2011, 78: 2455-2469. doi: 10.1016/j.engfracmech.2011.06.004
[9]	苟小平, 杨井瑞, 王启智.基于P-CCNBD试样的岩石动态断裂韧度测试方法[J].岩土力学, 2013, 34(9): 2449-2459. Gou Xiao-ping, Yang Jing-rui, Wang Qi-zhi. Test method for determining rock dynamic fracture toughness using P-CCNBD specimens[J]. Rock and Soil Mechanics, 2013, 34(9): 2449-2459.
[10]	Owen D M, Zhuang S, Rosakis A J, et al. Experimental determination of dynamic crack initiation and propagation fracture toughness in thin aluminum sheets[J]. International Journal of Fracture, 1998, 90: 153-174. doi: 10.1023/A:1007439301360
[11]	Bertram A, Kalthoff J F. Crack propagation toughness of rock for the range from low to very high crack speeds[J]. Key Engineering Materials, 2003, 251/252: 423-430. doi: 10.4028/www.scientific.net/KEM.251-252.423
[12]	Freund L B. Crack propagation in an elastic solid subjected to general loading-Ⅰ. Constant rate of extension[J]. Journal of the Mechanics and Physics of Solids, 1972, 20(3): 129-140. doi: 10.1016/0022-5096(72)90006-3
[13]	Freund L B. Crack propagation in an elastic solid subjected to general loading-Ⅱ. Non-uniform rate of extension[J]. Journal of the Mechanics and Physics of Solids, 1972, 20(3): 141-152. doi: 10.1016/0022-5096(72)90007-5
[14]	Freund L B. Crack propagation in an elastic solid subjected to general loading-Ⅲ. Stress wave loading[J]. Journal of the Mechanics and Physics of Solids, 1973, 21(2): 47-61. doi: 10.1016/0022-5096(73)90029-X
[15]	Freund L B. Crack propagation in an elastic solid subjected to general loading-Ⅳ. Obliquely incident stress wave pulse[J]. Journal of the Mechanics and Physics of Solids, 1974, 22(3): 137-146. doi: 10.1016/0022-5096(74)90021-0
[16]	Kostrov B V. On the crack propagation with variable velocity[J]. International Journal of Fracture, 1975, 11(1): 47-56. doi: 10.1007/BF00034712
[17]	Burridge R. An influence function for the intensity factor in tensile fracture[J]. International Journal of Engineering Science, 1976, 14: 725-734. doi: 10.1016/0020-7225(76)90028-8
[18]	Freund L B. Dynamic fracture mechanics[M]. Cambridge: Cambridge University Press, 1990: 296-432.
[19]	Bhat H S, Rosakis A, Sammis C G. A micromechanics based constitutive model for brittle failure at high strain rate[J]. Journal of Applied Mechanics, 2012, 79: 031016-1-12. doi: 10.1115/1.4005897
[20]	Ren X D, Li J. Dynamic fracture in irregularly structured systems[J]. Physical Review E, 2012, 85: 055102-1-4. doi: 10.1103/PhysRevE.85.055102
[21]	谢和平, 高峰, 周宏伟, 等.岩石断裂和破碎的分形研究[J].防灾减灾工程学报, 2003, 23(4): 1-9. Xie He-ping, Gao Feng, Zhou Hong-wei, et al. Fractal fracture and fragmentation in rocks[J]. Journal of Disaster Prevention and Mitigation Engineering, 2003, 23(4): 1-9.
[22]	Zhou Z L, Li X B, Liu A H, et al. Stress uniformity of split Hopkinson pressure bar under half-sine wave loads[J]. International Journal of Rock Mechanics and Mining Sciences, 2011, 48: 697-701. doi: 10.1016/j.ijrmms.2010.09.006
[23]	李为民, 许金余.大直径分离式霍普金森压杆试验中的波形整形技术研究[J].兵工学报, 2009, 30(3): 350-355. doi: 10.3321/j.issn:1000-1093.2009.03.019 Li Wei-min, Xu Jin-yu. Pulse shaping techniques for large-diameter split Hopkinson pressure bar test[J]. Acta Armamentarii, 2009, 30(3): 350-355. doi: 10.3321/j.issn:1000-1093.2009.03.019
[24]	Gomez J T, Shukla A, Sharma A. Static and dynamic behavior of concrete and granite in tension with damage[J]. Theoretical and Applied Fracture Mechanics, 2001, 36: 37-49. doi: 10.1016/S0167-8442(01)00054-4
[25]	冯峰, 王启智.大理岩Ⅰ-Ⅱ复合型动态断裂的实验研究[J].岩石力学与工程学报, 2009, 28(8): 1579-1586. doi: 10.3321/j.issn:1000-6915.2009.08.008 Feng Feng, Wang Qi-zhi. An experimental study of mixed mode Ⅰ-Ⅱ dynamic fracture of marble[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(8): 1579-1586. doi: 10.3321/j.issn:1000-6915.2009.08.008
[26]	刘再华, 解德, 王元汉, 等.工程断裂动力学[M].武汉: 华中理工大学出版社, 1996: 38-41.
[27]	Ravi-Chandar K. Dynamic Fracture[M]. Elsevier, 2004: 49-69.
[28]	Chen Y M, Wilkins M L. Numerical analysis of dynamic crack problem[J]. Engineering Fracture Mechanics, 1975, 7: 635-660.
[29]	李旭东, 张鹭, 马渊, 等.基于有限单元法对动态应力强度因子进行数值计算的研究[J].振动与冲击, 2011, 30(1): 223-226. doi: 10.3969/j.issn.1000-3835.2011.01.049 Li Xu-dong, Zhang Lu, Ma Yuan, et al. Numerical calculation of dynamic stress intensity factor based on finite element method[J]. Journal of Vibration and Shock, 2011, 30(1): 223-226. doi: 10.3969/j.issn.1000-3835.2011.01.049
[30]	Leyden: Noordhoff International Publishing, 1977: 1-58.
[31]	Zhang Z X, Kou S Q, Yu J, et al. Effect of loading rate on rock fracture[J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36: 597-611. doi: 10.1016/S0148-9062(99)00031-5
[32]	Rosakis A J. Explosion at the Parthenon: Can we pick up the pieces?[R]. GALCIT SM report 99-3, 1999.