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| Study on fracture properties of specimens with inverted U-shaped hole and cracks under dynamic loading |
| ZHOU Lei，ZHU Zheming，DONG Yuqing，NIU Caoyuan，DENG Shuai，JIANG Yacheng |
| (MOE Key Laboratory of Deep Earth Science and Engineering，College of Architecture and Environment，Sichuan University，Chengdu，Sichuan 610065，China) |
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Abstract The influence of crack group on the dynamic mechanical characteristics of surrounding rock is more complex than that of one single-crack. To deeply understanding dynamic failure properties of cracks in surrounding rock mass，several inverted U-shaped model samples with one single-crack or multi-cracks were made of polymethyl methacrylate(PMMA)，and then two sets of impact tests were carried out by using a drop hammer impact testing device to evaluate dynamic fracture behavior under impact loads. The corresponding numerical simulation was performed by employing a modified version of the finite difference method code and a traditional version of the finite element method code. The effects of one single-crack or multi-cracks on crack propagation velocity，dynamic fracture-initiation time and dynamic fracture-initiation toughness under impact loads were discussed，and comparison between experimental and simulation results was carried out. Some significant conclusions were obtained：(1) multi-cracks have an increasing influence on the crack propagation velocity，the crack propagation velocity of a multi-cracks specimen is 1.277 times than that of one single-crack specimen and the dynamic fracture-initiation time decreases with the number of cracks. (2) Compared with the single crack specimen，the dynamic fracture-initiation toughness of the multi-cracks specimen is significantly reduced to 58.72% of that of the single crack specimen. (3) The failure of mixed mode I/II crack is obviously easier than that of pure mode I crack in a same multi-cracks sample and the dynamic fracture-initiation toughness is closely related to the mode II dynamic stress intensity factor.
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[1] 周 磊，朱哲明，刘 邦. 隧道周边不同位置径向裂纹对隧道围岩稳定性影响规律的研究[J]. 岩土工程学报，2016，38(7)：1 230–1 237. (ZHOU Lei，ZHU Zheming，LIU Bang. Influence of radial cracks on stability of surrounding rocks at different locations around tunnel[J]. Chinese Journal of Geotechnical Engineering，2016，38(7)：1 230–1 237.(in Chinese))
[2] 周 磊，朱哲明，刘 邦. 裂纹对直墙拱形隧道围岩损伤破坏模式的影响规律研究[J]. 岩土力学，2017，38(12)：3 688–3 697.(ZHOU Lei，ZHU Zheming，LIU Bang. Influence of cracks on surrounding rock damage-failure mode of straight wall arch tunnel[J]. Rock and Soil Mechanics，2017，38(12)：3 688–3 697.(in Chinese))
[3] ZHOU L，ZHU Z，QIU H，et al. Study of the effect of loading rates on crack propagation velocity and rock fracture toughness using cracked tunnel specimens[J]. International Journal of Rock Mechanics and Mining Sciences，2018，112：25–34.
[4] JIA P，TANG C A. Numerical study on failure mechanism of tunnel in jointed rock mass[J]. Tunnelling and Underground Space Technology，2008，23(5)：500–507.
[5] WANG S，SLOAN Y，et al. Numerical simulation of the failure mechanism of circular tunnels in transversely isotropic rock masses[J]. Tunnelling and Underground Space Technology，2012，32(11)：231–244.
[6] YU Q，TANG C，LI L，et al. Study on rockburst nucleation process of deep-buried tunnels based on microseismic monitoring[J]. Shock and Vibration，2015，1–18. https：//doi.org/10.1155/2015/685437.
[7] ZHU Z，LI Y，XIE J，et al. The effect of principal stress orientation on tunnel stability[J]. Tunnelling and Underground Space Technology，2015，49：279–286.
[8] WANG M，ZHU Z M，LIU J H. The photoelastic analysis of stress intensity factor for cracks around a tunnel[J]. Applied Mechanics and Materials，2012，142：197–200.
[9] GUO D，ZHOU B，LIU K，et al. Dynamic caustics test of blast load impact on neighboring different cross-section roadways[J]. International Journal of Mining Science and Technology，2016，26(5)：803–808.
[10] 郭东明，刘 康，杨仁树，等. 爆炸冲击荷载下相邻巷道裂隙扩展机制模拟试验[J]. 振动与冲击，2016，35(2)：178–183.(GUO Dongming，LIU Kang，YANG Renshu，et al. The simulation experiment about mechanism of adjacent tunnel crack extension induced by explosion impacting load[J]. Journal of Vibration and Shock，2016，35(2)：178–183.(in Chinese))
[11] 郭东明，刘 康，杨仁树，等. 爆破对邻近巷道背爆侧倾斜裂纹影响实验研究[J]. 采矿与安全工程学报，2015，32(1)：99–104.(GUO Dongming，LIU Kang，YANG Renshu，et al. Experimental research on the influence of blasting on the inclined crack in the back-blasting side of nearby roadway[J]. Journal of Mining and Safety Engineering，2015，32(1)：99–104.(in Chinese))
[12] 潘一山，吕祥锋，李忠华，等. 高速冲击载荷作用下巷道动态破坏过程试验研究[J]. 岩土力学，2011，32(5)：1 281–1 286.(PAN Yishan，LYU Xiangfeng，LI Zhonghua，et al. Experimental study of dynamic failure process of roadway under high velocity impact loading[J]. Rock and Soil Mechanics，2011，32(5)：1 281–1 286.(in Chinese))
[13] LI X，WENG L. Numerical investigation on fracturing behaviors of deep-buried opening under dynamic disturbance[J]. Tunnelling and Underground Space Technology，2016，54：61–72.
[14] LI D，HAN Z，SUN X，et al. Dynamic mechanical properties and fracturing behavior of marble specimens containing single and double flaws in SHPB tests[J]. Rock Mechanics and Rock Engineering，2019，52：1 623–1 643.
[15] 李地元，韩震宇，孙小磊，等. 含预制裂隙大理岩SHPB动态力学破坏特性试验研究[J]. 岩石力学与工程学报，2017，36(12)：2 872– 2 883.(LI Diyaun，HAN Zhengyu，SUN Xiaolei，et al. Characteristics of dynamic failure of marble with artificial flaws under split Hopkinson pressure bar tests[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(12)：2 872–2 883.(in Chinese))
[16] 李地元，邱加冬，李夕兵. 冲击载荷作用下层状砂岩动态拉压力学特性研究[J]. 岩石力学与工程学报，2015，34(10)：2 091–2 097.(LI Diyuan，QIU Jiadong，LI Xibing. Experimental study on dynamic tensile and compressive properties of bedding sandstone under impact loading[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(10)：2 091–2 097.(in Chinese))
[17] WANG M，WANG F，ZHU Z，et al. Modelling of crack propagation in rocks under SHPB impacts using a damage method[J]. Fatigue and Fracture of Engineering Materials and Structures，2019，42：1 699– 1 710.
[18] 张 盛，王龙飞，常 旭，等. 中心直裂纹半圆盘试样的石灰岩断裂韧度尺寸效应试验研究[J]. 岩土力学，2019，40(5)：1 740–1 749. (ZHANG Sheng，WANG Longfei，CHANG Xu，et al. Experimental study of size effect of fracture toughness of limestone using the notched semi-circular bend samples[J]. Rock and Soil Mechanics，2019，40(5)：1 740–1 749.(in Chinese))
[19] WANG X，ZHU Z，WANG M，et al. Study of rock dynamic fracture toughness by using VB-SCSC specimens under medium-low speed impacts[J]. Engineering Fracture Mechanics，2017，181：52–64.
[20] 宋义敏，杨小彬，杨晟萱，等. 冲击载荷下岩石裂纹动态断裂参数研究[J]. 采矿与安全工程学报，2015，32(5)：834–839.(SONG Yimin，YANG Xiaobin，YANG Shengxuan，et al. The research of rock dynamic fracture parameter under the action of impact load[J]. Journal of Mining and Safety Engineering，2015，32(5)：834–839.(in Chinese))
[21] 宋义敏，何爱军，王泽军，等. 冲击载荷作用下岩石动态断裂试验研究[J]. 岩土力学，2015，36(4)：965–970.(SONG Yiming，HE Aijun，WANG Zhejun，et al. Experiment study of the dynamic fractures of rock under impact loading[J]. Rock and Soil Mechanics，2015，36(4)：965–970.(in Chinese))
[22] REDDISH D，STACE L，VANICHKOBCHINDA P，et al. Numerical simulation of the dynamic impact breakage testing of rock[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(2)：167–176.
[23] 邓 帅，朱哲明，王 磊，等. 原岩应力对裂纹动态断裂行为的影响规律研究[J]. 岩石力学与工程学报，2019，38(10)：1 989–1 999. (DENG Shuai，ZHU Zheming，WANG Lei，et al. Study on the influence of in-situ stresses on dynamic fracture behaviors of cracks[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(10)：1 989–1 999.(in Chinese))
[24] 施泽彬，朱哲明，汪小梦，等. I型裂纹中低速冲击荷载下起裂韧度测试新方法[J]. 爆炸与冲击，2018，38(6)：1 247–1 254.(SHI Zebin，ZHU Zheming，WANG Xiaomeng，et al. A new testing method for mode I crack initiation fracture toughness under middle-low speed impacts. Explosion and Shock Waves，2018，38(6)：1 247–1 254.(in Chinese))
[25] LANG L，ZHU Z，ZHANG X，et al. Investigation of crack dynamic parameters and crack arresting technique in concrete under impacts[J]. Construction and Building Materials，2019，199：321–334.
[26] PIRMOHAMMAD S，HOJJATI MENGHARPEY M. A new mixed mode I/II fracture test specimen：Numerical and experimental studies[J]. Theoretical and Applied Fracture Mechanics，2018，97：204–214.
[27] BURA E，SEWERYN A. Mode I fracture in PMMA specimens with notches experimental and numerical studies[J]. Theoretical and Applied Fracture Mechanics，2018，97：140–155.
[28] QIU P，YUE Z，YANG R，et al. Effects of vertical and horizontal reflected blast stress waves on running cracks by caustics method[J]. Engineering Fracture Mechanics，2019，212：164–179.
[29] SHEIKH M Z，WANG Z，BING D，et al. Static and dynamic brazilian disc tests for mechanical characterization of annealed and chemically strengthened glass[J]. Ceramics International，2019，45(2)：7 931– 7 944.
[30] ZHANG Q B，ZHAO J. Determination of mechanical properties and full-field strain measurements of rock material under dynamic loads[J]. International Journal of Rock Mechanics and Mining Sciences，2013，60：423–439.
[31] ZHANG Q B，ZHAO J. Effect of loading rate on fracture toughness and failure micromechanisms in marble[J]. Engineering Fracture Mechanics，2013，102：288–309.
[32] WANG Q Z，YANG J R，ZHANG C G，et al. Sequential determination of dynamic initiation and propagation toughness of rock using an experimental-numerical-analytical method[J]. Engineering Fracture Mechanics，2015，141：78–94.
[33] KOLSKY H. An investigation of the mechanical properties of materials at very high rates of loading[J]. Proceedings of the Physical Society：Section B，1949，62(11)：676–700.
[34] WANG Z，SHI G，WANG J，et al. Analysis of energy properties and failure modes of heat-treated granite in dynamic splitting test[J]. Geotechnical Testing Journal，2018，41(2)：235–246.
[35] 李 炼，罗 林，吴礼舟，等. 岩石偏心圆孔单裂纹平台圆盘的动态裂纹扩展与止裂[J]. 爆炸与冲击，2018，38(6)：1 218–1 230.(LI Lian，LUO Lin，WU Lizhou，et al. Dynamic crack propagation and arrest investigated with a cracked eccentrically-holed flattened disc of rock[J]. Explosion and Shock Waves，2018，38(6)：1 218–1 230.(in Chinese))
[36] 曹 富，杨丽萍，李 炼，等. 压缩单裂纹圆孔板(SCDC)岩石动态断裂全过程研究[J]. 岩土力学，2017，38(6)：1 573–1 582.(CAO Fu，YANG Liping，LI Lian，et al. Research on whole dynamical fracture process of rock using single cleavage drilled compression (SCDC) specimen[J]. Rock and Soil Mechanics，2017，38(6)：1 573– 1 582.(in Chinese))
[37] SHIBANUMA K，YANAGIMOTO F，SUZUKI K，et al. Brittle crack propagation/arrest behavior in steel plate-Part III：Discussions on arrest design[J]. Engineering Fracture Mechanics，2018，190：104–119.
[38] SHIBANUMA K，YANAGIMOTO F，NAMEGAWA T，et al. Brittle crack propagation/arrest behavior in steel plate-Part II：Experiments and model validation[J]. Engineering Fracture Mechanics，2016，162：341–360.
[39] 杨井瑞，张财贵，周 妍，等. 用SCDC试样测试岩石动态断裂韧度的新方法[J]. 岩石力学与工程学报，2015，34(2)：279–292.(YANG Jingrui，ZHANG Caigui，ZHOU Yan. A new method for determining dynamic fracture toughness of rock using SCDC specimens[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(2)：279–292.(in Chinese))
[40] JIANG H，DU C，LIU S，et al. Numerical simulation of rock fragmentation under the impact load of water jet[J]. Shock and Vibration，2014，https：//doi.org/10.1155/2014/219489.
[41] LIU R，ZHU Z，LI M，et al. Study on dynamic fracture behavior of mode I crack under blasting loads[J]. Soil Dynamics and Earthquake Engineering，2019，117：47–57.
[42] WONG L N Y，LI H. Numerical study on coalescence of two pre-existing coplanar flaws in rock[J]. International Journal of Rock Mechanics and Mining Sciences，2013，50(22)：3 685–3 706.
[43] MA G W，AN X M. Numerical simulation of blasting-induced rock fractures[J]. International Journal of Rock Mechanics and Mining Sciences，2008，45(6)：966–975.
[44] FOSTER J T，CHEN W，LUK V K. Dynamic crack initiation toughness of 4340 steel at constant loading rates[J]. Engineering Fracture Mechanics，2011，78(6)：1 264–1 276.
[45] FAYE A，PARAMESWARAN V，BASU S. Dynamic fracture initiation toughness of PMMA：A critical evaluation[J]. Mechanics of Materials，2016，94：156–169. |
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2021, Vol. 40 
