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| ALGORITHM TO ESTIMATE TENSILE MODULUS OF ROCK IN DISK IMPACT SPLITTING TEST |
| GONG Fengqiang1,2,LI Xibing1,2,DONG Longjun1 |
| (1. School of Resources and Safety Engineering,Central South University,Changsha,Hunan 410083,China;2. Hunan Key Laboratory of Resources Exploitation and Hazard Control for Deep Metal Mines,Central South University,Changsha,Hunan 410083,China) |
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Abstract An analytic algorithm to estimate the tensile modulus of disk impact splitting test was presented. Combined the theoretical elastic solution of disk on cardiac force and the physical parameters obtained in actual measure of experiments,and based on the principle of calculus,the quantitative relationship between tensile modulus of rock specimen center and the total displacement of deformation on the direction of the vertical load was derived. The relationship between the deformation on the vertical-loading direction and that on the parallel- loading direction was analyzed;and there is a linear relation between two deformations and this relation can be expressed with a ratio function. At last,combined with split Hopkinson pressure bar(SHPB) impact splitting test principle,measuring the deformation on the parallel-loading direction and obtaining the deformation on the vertical-loading direction by using that ratio function. And then the impact splitting tensile modulus can be obtained with a derivation function by substituting the deformation on the vertical-loading direction. Five physical parameters,including the impact loading power,sample diameter,sample thickness,rock Poisson?s ratio and the total deformation on the parallel-loading direction,were used in this derivation function. This derivation function has a clear meaning and easy to use,and provide a new approach to estimate the tensile modulus in Brazilian disk splitting test.
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Received: 29 October 2012
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| [1] 戴 俊. 深埋岩石隧洞的周边控制爆破方法与参数确定[J]. 爆炸与冲击,2004,24(6):493–498.(DAI Jun. The controlled contour blasting technique and its parameter determination for rock tunnel at depth[J]. Explosion and Shock Waves,2004,24(6):493–498.(in Chinese))
[2] ZHOU Y X,XIA K,LI X B,et al. Suggested methods for determining the dynamic strength parameters and mode-I fracture toughness of rock materials[J]. International Journal of Rock Mechanics and Mining Sciences,2012,49(1):105–112.
[3] 苏碧君,王启智. 平台巴西圆盘试样岩石动态拉伸特性的试验研究[J]. 长江科学院院报,2004,21(1):22–25.(SU Bijun,WANG Qizhi. An experiment study on rock tensile strength with flattened Brazilian disc specimen under dynamic loading[J]. Journal of Yangtze River Scientific Research Institute,2004,21(1):22–25.(in Chinese))
[4] 李 伟,谢和平,王启智. 大理岩动态拉伸强度及弹性模量的SHPB实验研究[J]. 实验力学,2005,20(2):200–206.(LI Wei,XIE Heping,WANG Qizhi. Experimental study for dynamic tensile strength and elastic modulus of marble using SHPB[J]. Journal of Experimental Mechanics,2005,20(2):200–206.(in Chinese))
[5] 宫凤强,李夕兵,ZHAO Jian. 巴西劈裂试验中拉伸弹性模量的解析算法[J]. 岩石力学与工程学报,2010,29(5):881–891.(GONG Fengqiang,LI Xibing,ZHAO Jian. Analytical algorithm to estimate tensile modulus in Brazilian disk splitting tests[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(5):881–891.(in Chinese))
[6] LI X B,LOK T S,ZHAO J. Dynamic characteristics of granite subjected to intermediate loading rate[J]. Rock Mechanics and Rock Engineering,2005,38(1):21–39.
[7] 宋小林. 大理岩动态劈裂拉伸强度和裂纹起裂扩展特性[硕士学位论文][D]. 成都:四川大学,2005.(SONG Xiaolin. Dynamic split tension strength of marble and the properties of crack initiation and crack propagation under dynamic split test[M. S. Thesis][D]. Chengdu:Sichuan University,2005.(in Chinese))
[8] 董世明,夏源明. CCCD-SHPB动态断裂试验系统原理及数值分析[J]. 机械强度,2004,26(增):184–187.(DONG Shiming,XIA Yuanming. Principle and fem analysis of CCCD-SHPB dynamic fracture test system[J]. Journal of Mechanical Strength,2004,26(Supp.):184–187.(in Chinese))
[9] ALLAN M R,THOMAS J A. Dynamic tensile-failure-induced velocity deficits in rock[J]. Geophysical Research Letters,1991,18(2):219–222.
[10] 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(1):37–49.
[11] TANG C A,XU X H,KOU S Q,et al. Numerical investigation of particle breakage as applied to mechanical crushing—part I. Single-particle breakage[J]. International Journal of Rock Mechanics and Mining Sciences,2001,38(8):1 147–1 162.
[12] ZHU W C,TANG C A. Numerical simulation of Brazilian disk rock failure under static and dynamic loading[J]. International Journal of Rock Mechanics and Mining Sciences,2006,43(2):236–252. |
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