Effect of pre-existing flaws on spalling fracture of granite
-
摘要: 利用50 mm杆径的霍普金森压杆装置对完整和预制缺陷花岗岩试样进行层裂破坏实验，并采用高速摄像仪记录了试件层裂破坏的全过程。通过理论分析，计算了半正弦波加载情况下完整杆可能的初始层裂位置。高速摄影结果显示，预制缺陷对初始层裂位置具有一定影响，层裂一般发生在预制缺陷处。结合PFC2D（particle flow code in two dimensions）数值模拟进一步发现，初始层裂位置受到预制缺陷和反射拉伸波上升沿的影响，反射拉伸波上升沿越长，初始层裂越可能发生在预制缺陷处，反射拉伸波上升沿越短，初始层裂位置发生在预制缺陷处的可能性则相对越小。Abstract: The intact and pre-existing flaw granite specimens were tested by using the split Hopkinson pressure bar device with 50 mm rod diameter, and the whole process of spalling fracture was recorded by a high-speed video camera. Based on the theoretical analysis, the possible initial spalling positions of the granite specimens under half sine wave loading were calculated. The results of high-speed photography show that the pre-existing flaws have certain influence on the initial spalling positions, and spalling fractures generally occur at pre-existing flaws. According to the PFC2D (particle flow code in two dimensions) model, it is found that the initial spalling positions are influenced by the pre-existing flaws and the rising edge of the reflected tensile wave. The longer the rising edge of the reflection wave, the more likely the initial spalling occurs at the pre-existing flaw. The shorter the rising edge of the reflected tensile wave, the less likely the initial spalling occurs at the pre-existing flaw.
-
Key words:
- spalling /
- pre-existing flaw /
- split Hopkinson pressure bar /
- granite
-
图 4 基于PFC2D的层裂实验数值模拟结果
Figure 4. Numerical simulation results of spalling tests by PFC2D
图 5 预制孔洞模型典型监测圆应力时程曲线及对应破坏过程
Figure 5. Stress-time curves of typical monitoring circlse in the prefabricated hole model and its failure process
表 1 层裂实验结果
Table 1. Results of spalling test
试样编号 层裂层数 各层裂面距自由端距离/cm 第1层 第2层 第3层 Int1 3 15.7 24.7 38.2 Int2 3 18.6 25.7 32.3 Cra1 2 24.9 34.8 Cra2 2 25.0 35.1 Cir1 3 25.1 35.2 45.3 Cir2 3 25.0 35.0 45.1 
下载: 导出CSV
-
[1] DAVISON L, STEVENS A L, KIPP M E. Theory of spall damage accumulation in ductile metals[J]. Journal of the Mechanics and Physics of Solids, 1977, 25(1):11-28. doi: 10.1016/0022-5096(77)90017-5 [2] 王泽平, 恽寿榕.延性材料层裂的数值模拟[J].爆炸与冲击, 1991, 11(1):20-25. http://www.bzycj.cn/CN/abstract/abstract10762.shtmlWANG Zeping, YUN Shourong. Numerical calculations of spallation in ductile solids[J]. Explosion and Shock Waves, 1991, 11(1):20-25. http://www.bzycj.cn/CN/abstract/abstract10762.shtml [3] 王礼立.应力波基础[M].北京:国防工业出版出版, 1992:46-50. [4] 白以龙, 柯孚久, 夏蒙棼.固体中微裂纹系统统计演化的基本描述[J].力学学报, 1991, 23(3):290-298. http://www.cqvip.com/QK/91029X/199103/557254.htmlBAI Yilong, KE Fujiu, XIA Mengfen. Formulation of statistical evolution of microcracks in solids[J]. Acta Mechanica Sinica, 1991, 23(3):290-298. http://www.cqvip.com/QK/91029X/199103/557254.html [5] WEERHEIJM J, DOORMAAL J C A M V. Tensile failure of concrete at high loading rates:new test data on strength and fracture energy from instrumented spalling tests[J]. International Journal of Impact Engineering, 2007, 34(3):609-626. doi: 10.1016/j.ijimpeng.2006.01.005 [6] 张磊, 胡时胜, 陈德兴, 等.混凝土材料的层裂特性[J].爆炸与冲击, 2008, 28(3):193-199. doi: 10.11883/1001-1455(2008)03-0193-07ZHANG Lei, HU Shisheng, CHEN Dexing, et al. Spall characteristics of concrete materials[J]. Explosion and Shock Waves, 2008, 28(3):193-199. doi: 10.11883/1001-1455(2008)03-0193-07 [7] LI X B, LOK T S, ZHAO J, et al. Oscillation elimination in the Hopkinson bar apparatus and resultant complete dynamic stress-strain curves for rocks[J]. International Journal of Rock Mechanics and Mining Sciences, 2000, 37(7):1055-1060. doi: 10.1016/S1365-1609(00)00037-X [8] 李夕兵, 陶明, 宫凤强, 等.冲击载荷作用下硬岩层裂破坏的理论和试验研究[J].岩石力学与工程学报, 2011, 30(6):1081-1088. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yslxygcxb201106001LI Xibing, TAO Ming, GONG Fengqiang, et al. Theoretical and experimental study of hard rock spalling fracture under impact dynamic loading[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(6):1081-1088. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yslxygcxb201106001 [9] YANG S Q, JIANG Y Z, XU W Y, et al. Experimental investigation on strength and failure behavior of pre-cracked marble under conventional triaxial compression[J]. International Journal of Solids and Structures, 2008, 45(17):4796-4819. doi: 10.1016/j.ijsolstr.2008.04.023 [10] WONG L N Y, EINSTEN H H. Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(2):239-249. doi: 10.1016/j.ijrmms.2008.03.006 [11] 李地元, 李夕兵, 李春林, 等.单轴压缩下含预制孔洞板状花岗岩试样力学响应的试验和数值研究[J].岩石力学与工程学报, 2011, 30(6):1198-1206. http://xueshu.baidu.com/s?wd=paperuri%3A%28d9653deaf3df756f396356b39adfbba1%29&filter=sc_long_sign&tn=SE_xueshusource_2kduw22v&sc_vurl=http%3A%2F%2Fkns.cnki.net%2FKCMS%2Fdetail%2Fdetail.aspx%3Ffilename%3Dyslx201106017%26dbname%3DCJFD%26dbcode%3DCJFQ&ie=utf-8&sc_us=602763236587930015LI Diyuan, LI Xibing, LI Chunlin, et al. Experimental and numerical studies of mechanical response of plate-shape granite samples containing prefabricated holes under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(6):1198-1206. http://xueshu.baidu.com/s?wd=paperuri%3A%28d9653deaf3df756f396356b39adfbba1%29&filter=sc_long_sign&tn=SE_xueshusource_2kduw22v&sc_vurl=http%3A%2F%2Fkns.cnki.net%2FKCMS%2Fdetail%2Fdetail.aspx%3Ffilename%3Dyslx201106017%26dbname%3DCJFD%26dbcode%3DCJFQ&ie=utf-8&sc_us=602763236587930015 [12] 李地元, 成腾蛟, 周韬, 等.冲击载荷作用下含孔洞大理岩动态力学破坏特性试验研究[J].岩石力学与工程学报, 2015, 34(2):249-260. http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201502005.htmLI Diyuan, CHENG Tengjiao, ZHOU Tao, et al. Experimental study of the dynamic strength and fracturing characteristics of marble specimens with a single hole under impact loading[J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(2):249-260. http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201502005.htm [13] 朱晶晶, 李夕兵, 宫凤强, 等.单轴循环冲击下岩石的动力学特性及其损伤模型研究[J].岩土工程学报, 2013, 35(3):531-539. http://www.oalib.com/paper/4368973ZHU Jingjing, LI Xibing, GONG Fengqiang, et al. Dynamic characteristics and damage model for rock under uniaxial cyclic impact compressive loads[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(3):531-539. http://www.oalib.com/paper/4368973 [14] 金解放, 李夕兵, 邱灿, 等.岩石循环冲击损伤演化模型及静载荷对损伤累积的影响[J].岩石力学与工程学报, 2014, 33(8):1662-1671. http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201408019.htmJIN Jiefang, LI Xibing, QIU Can, et al. Evolution model for damage accumulation of rock under cyclic impact loadings and effect of static loads on damage evolution[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(8):1662-1671. http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201408019.htm [15] 张守中.爆炸与冲击动力学[M].北京:兵器工业出版社, 1993. [16] 李夕兵.岩石动力学基础与应用[M].北京:科学出版社, 2014. -
图(5) / 表(1)
计量
- 文章访问数: 4944
- HTML全文浏览量: 1235
- PDF下载量: 175
- 被引次数: 0