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| Research on the size effect of rock dynamic fracture toughness considering the influence of space-time domain |
| ZHANG Sheng1,2,AN Dingchao1,ZHANG Xulong1,CHEN Zhao1,WANG Zheng1 |
| (1. School of Energy Science and Engineering,Henan Polytechnic University,Jiaozuo,Henan 454001,China;2. Collaborative Innovation Center of Coal Work Safety and Clean High Efficiency Utilization,Jiaozuo,Henan 454001,China) |
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Abstract In order to explore the size effect of rock dynamic fracture toughness,the dynamic split loading test was carried out using the split Hopkinson pressure bar(SHPB) system on the cracked straight-through Brazilian disc(CSTBD) specimens with diameters of 50,100,150 and 205 mm,respectively. The variation of the dynamic fracture toughness with the size of the specimens was analyzed. The length of fracture process zone,the incubation time and the fracture energy of the specimens with different sizes were determined by virtual crack model,theoretical analysis and dynamic finite element method. A method for determining rock dynamic fracture toughness considering space(length of fracture process zone)-time(incubation time of fracture process zone) domain was proposed. At the same time,the digital image correlation method(DICM) was used to monitor the surface of the specimens,and the failure process of the specimens was explored. The results show that the test values of the fracture toughness increase with the size,showing an obvious size effect. The length of fracture process zone and the incubation time increase with the size,indicating that the contribution of the stored energy increases with the size,which is consistent with the size effect of the fracture energy and indirectly explains the reason of the size effect of the fracture toughness. Considering the space-time domain,the size effect of the fracture toughness of larger size specimens(D = 150 mm,D = 205 mm) is reduced. The method to eliminate the size effect from the overall size needs to be further explored. The crack propagation direction of the specimens is from the crack tip to the loading end,and a wedge-shaped failure zone is formed at the loading end.
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| [1] BA?ANT Z P,CHEN E. 结构破坏的尺度律[J]. 力学进展,1999,29(3):383–433.(BAZANT Z P,CHEN E. Scale law of structural failure[J]. Advances in Mechanics,1999,29(3):383–433.(in Chinese))
[2] 谢和平,张 茹,邓建辉,等. 基于“深地–地表”联动的深地科学与地灾防控技术体系初探[J]. 工程科学与技术,2021,53(4):1–12.(XIE Heping,ZHANG Ru,DENG Jianhui,et al. A preliminary study on the technical system of deep earth science and geo disaster prevention-control based on the“deep earth-surface”linkage strategy[J]. Advanced Engineering Sciences,2021,53(4):1–12.(in Chinese))
[3] FENG G,WANG X,KANG Y,et al. Effects of Temperature on the Relationship between Mode-I Fracture Toughness and Tensile Strength of Rock[J]. Applied Sciences,2019,9(7):1–19.
[4] OUCHTERLONY F. Suggested methods for determining the fracture toughness of rock—Méthodes proposées pour déterminer la résistance des roches aux fractures[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1988,25(2):71–96.
[5] FOWELL R J. Suggested method for determining mode I fracture toughness using Cracked Chevron Notched Brazilian Disc(CCNBD) specimens[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1995,32(1):57–64.
[6] KURUPPU M D,OBARA Y,AYATOLLAHI M R,et al. ISRM- Suggested Method for Determining the Mode I static fracture toughness using semi-circular bend specimen[J]. Rock Mechanics and Rock Engineering,2014,47(1):267–274.
[7] TANG T X,BA?ANT Z P,YANG S,et al. Variable-notch one-size test method for fracture energy and process zone length[J]. Engineering Fracture Mechanics,1996,55(3):383–404.
[8] 王启智,吴礼舟. 用平台巴西圆盘试样确定脆性岩石的弹性模量、拉伸强度和断裂韧度—第二部分:试验结果[J]. 岩石力学与工程学报,2004,23(2):199–204.(WANG Qizhi,WU Lizhou. Determination of elastic modulus,tensile strength and fracture toughness of britle- rocks by using flattened Brazilian disk specimen-part II:experimental results[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(2):199–204.(in Chinese))
[9] 王启智,李 炼,吴礼舟,等. 改进巴西试验:从平台巴西圆盘到切口巴西圆盘[J]. 力学学报,2017,49(4):793–801.(WANG Qizhi,LI Lian,WU Lizhou,et al. Improvement of Brazilian test:from flattened Brazilian disc to grooved Brazilian disc[J]. Chinese Journal of Theoretical and Applied Mechanics,2017,49(4):793–801.(in Chinese))
[10] 张 盛,王启智. 用5种圆盘试件的劈裂试验确定岩石断裂韧度[J]. 岩土力学,2009,30(1):12–18.(ZHANG Sheng,WANG Qizhi. Determination of rock fracture toughness by split test using five types of disc specimens[J]. Rock and Soil Mechanics,2009,30(1):12–18. (in Chinese))
[11] 许 媛,戴 峰,徐奴文,等. 人字形切槽巴西圆盘岩石试样复合型断裂渐进过程数值模拟研究[J]. 岩土工程学报,2015,37(12):2 189–2 197.(XU Yuan,DAI Feng,XU Nuwen,et al. Numerical analysis of mixed mode progressive rock fracture mechanism of cracked chevron notched Brazilian disc specimens[J]. Chinese Journal of Geotechnical Engineering,2015,37(12):2 189–2 197.(in Chinese))
[12] 应 鹏,朱哲明,周 磊,等. 中低速冲击下I型裂纹的动态断裂韧度研究[J]. 煤炭学报,2017,42(增2):338–345.(YING Peng,ZHU Zheming,ZHOU Lei,et al. Dynamic toughness of mode I crack under medium and low speed impacts[J]. Journal of China Coal Society,2017,42(Supp.2):338–345.(in Chinese))
[13] 陈 荣,郭 弦,卢芳云,等. Stanstead花岗岩动态断裂性能[J]. 岩石力学与工程学报,2010,29(2):375–380.(CHEN Rong,GUO Xian,LU Fangyun,et al. Research on dynamic fracture behaviors of stanstead granite[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(2):375–380.(in Chinese))
[14] 张 盛,李新文. 中心孔径对岩石动态断裂韧度测试值的影响[J]. 岩石力学与工程学报,2015,34(8):1 660–1 666.(ZHANG Sheng,LI Xinwen. Influence of diameter of center holes on measured values of dynamic fracture toughness of rock[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(8):1 660–1 666.(in Chinese))
[15] PETROV Y V,MOROZOV N F,SMIRNOV V I. Structural macromechanics approach in dynamics of fracture[J]. Fatigue Fracture of Engineering Materials Structures,2010,26(4):363–372.
[16] 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.(ZHANG Sheng,WANG Qizhi,XIE Heping. Size effect of dynamic fracture toughness of rock[J]. Explosion and Shock Waves,2008,28(6):544–551.(in Chinese))
[17] WEIBULL W. The phenomenon of rupture of solids[J]. Proceedings of Royal Swedish Institute,1996,98(3):461–462.
[18] CARPINTERI A. Scaling laws and renormalization groups for strength and toughness of disordered materials[J]. International Journal of Solids and Structures,1994,31(3):291–302.
[19] BA?ANT Z P. Size effect in blunt fracture:concrete,rock,metal[J]. Journal of Engineering Mechanics,1984,110(4):518–535.
[20] 张 盛,李新文,杨向浩. 动载确定方法对岩石动态断裂韧度测试的影响[J]. 岩土力学,2013,34(9):2 721–2 726.(ZHANG Sheng,LI Xinwen,YANG Xianghao. Influence of different dynamic load calculating methods on rock dynamic fracture toughness test[J]. Rock and Soil Mechanics,2013,34(9):2 721–2 726.(in Chinese))
[21] HILLERBORG A,MODEER M,PETERSSON P E. A tribute to “analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements”[J]. Cement and Concrete Research,1976,6(6):773–781.
[22] 李 霞,王利民,徐世烺,等. 混凝土软化本构关系与失稳断裂参数的计算[J]. 青岛理工大学学报,2019,40(4):6–12.(LI Xia,WANG Limin,XU Shilang,et al. Softening constitutive relationship and calculation of instability fracture parameters of concrete[J]. Journal of Qingdao University of Technology,2019,40(4):6–12.(in Chinese))
[23] 林建伟,高经武,武晋文,等. 基于双线性软化模型鲁灰花岗岩断裂特征研究[J]. 中北大学学报:自然科学版,2019,40(3):193–197. (LIN Jianwei,GAO Jingwu,WU Jinwen,et al. Fracture characteristics of lu gray granite based on bilinear softening model[J]. Journal of North University of China:Natural Science Edition,2019,40(3):193–197.(in Chinese))
[24] 张振亚. 脆性材料中动态裂纹传播问题的研究[博士学位论文][D]. 宁波:宁波大学,2013.(ZHANG Zhenya. Research on dynamic crack propagation in brittle materials[Ph. D. Thesis][D]. Ningbo:Ningbo University,2013.(in Chinese))
[25] 张兆欢,黄 杨,王启智. 水泥砂浆断裂韧度的尺寸效应研究[J].混凝土,2008,(12):104–107.(ZHANG Zhaohuan,HUANG Yang,WANG Qizhi. Size effect study of fracture toughness for cement mortar[J]. Concrete,2008,(12):104–107.(in Chinese))
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