|
|
|
| Study on the effect of grain size-particle size ratio on the dynamic tensile properties of granite based on PFC3D-GBM |
| ZHANG Tao，YU Liyuan，JU Minghe，LI Ming，SU Haijian，JI Haoqi |
| (State Key Laboratory for Geomechanics and Deep Underground Engineering，China University of Mining and Technology，Xuzhou，Jiangsu 221116，China) |
|
|
|
|
Abstract To investigate the dynamic tensile mechanical behaviors of granite at the grain scale，a novel three-dimensional grain-based model based on the three-dimensional particle flow code(PFC3D-GBM) was proposed，and a three-dimensional split Hopkinson pressure bar(SHPB) numerical model was constructed based on the modeling technology of coupled finite difference method(FDM) and discrete element method(DEM). The numerical dynamic semi-circular bending(SCB) test was conducted on the numerical samples using the coupled SHPB system to investigate the fracturing process of the samples，and the effect of the grain size-particle size ratio on the dynamic tensile mechanical properties was also discussed. The numerical results show that，under dynamic loading，the crack number evolution process of the samples can be divided into four stages of initiation，slow development，rapid increasing and stability，and that the samples mainly show tensile failure. As the grain size- particle size ratio increases，the proportion of the transgranular contact to the total contact increases gradually and tends to be stable，while the proportion of the intergranular contact decreases gradually. The proportion of the transgranular cracks to the total cracks increases gradually after sample failure，increasing the external load value required for the sample brittle macroscopic fracture and hence，increasing the dynamic tensile strength. PFC3D-GBM is feasible in the study of rock dynamics and is a powerful tool for rock mechanics investigations at the grain scale.
|
|
|
|
|
|
[1] ZHAI M G，ZHANG Q，CHEN G N，et al. Adventure on the research of continental evolution and related granite geochemistry[J]. Chinese Science Bulletin，2016，61(13)：31–37.
[2] 王 驹，陈伟明，苏 锐，等. 高放废物地质处置及其若干关键科学问题[J]. 岩石力学与工程学报，2006，25(4)：801–812.(WANG Ju，CHEN Weiming，SU Rui，et al. Geological disposal of high-level radioactive waste and its key scientific issues[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(4)：801–812.(in Chinese))
[3] MARTIN C D，CHANDLER N A . The progressive fracture of Lac du Bonnet granite[J]. International Journal of Rock Mechanics and Mining Science and Geomechanics Abstracts，1994，31(6)：643–659.
[4] COWIE S，WALTON G. The effect of mineralogical parameters on the mechanical properties of granitic rocks[J]. Engineering Geology，2018，240(1)：204–225.
[5] 冷先伦，盛 谦，朱泽奇，等. 不同TBM掘进速率下洞室围岩开挖扰动区研究[J]. 岩石力学与工程学报，2009，28(增2)：3 692–3 698.(LENG Xianlun，SHENG Qian，ZHU Zeqi，et al. Study on excavation disturbed zone in surrounding rock of tunnel with various TBM driving rates[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(Supp.2)：3 692–3 698.(in Chinese))
[6] 许金余，刘 石，孙蕙香. 3种岩石的平台巴西圆盘动态劈裂拉伸试验分析[J]. 岩石力学与工程学报，2014，33(增1)：2 814–2 819.(XU Jinyu，LIU Shi，SUN Huixiang. Analysis of dynamic split tensile tests of flattened Brazilian disc of three rocks[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(Supp.1)：2 814–2 819.(in Chinese))
[7] DAI F，XIA K W，TANG L Z，et al. Rate dependence of the flexural tensile strength of Laurentian granite[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(3)：469–475.
[8] YIN T B，WANG P，LI X B，et al. Determination of dynamic flexural tensile strength of thermally treated laurentian granite using semi- circular specimens[J]. Rock Mechanics and Rock Engineering，2016，49(10)：3 887–3 898.
[9] LIU C J，DENG J R，YU S T，et al. Effect of freezing and thawing on microstructure damage and dynamic flexural tension of granite[J]. Rock Mechanics and Rock Engineering，2020，53(8)：3 853–3 858.
[10] 王 飞，王 蒙，朱哲明，等. 冲击荷载下岩石裂纹动态扩展全过程演化规律研究[J]. 岩石力学与工程学报，2019，38(6)：1 139– 1 148.(WANG Fei，WANG Meng，ZHU Zheming，et al. Study on evolution law of rock crack dynamic propagation in complete process under impact loading[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(6)：1 139–1 148.(in Chinese))
[11] LI X B，ZOU Y，ZHOU Z L，et al. Numerical simulation of the rock SHPB test with a special shape striker based on the discrete element method[J]. Rock Mechanics and Rock Engineering，2014，47(5)： 1 693–1 709.
[12] POTYONDY D O. A grain-based model for rock：approaching the true microstructure[C]// Proceedings of the Rock Mechanics in the Nordic Countries. Norway：Kongsberg，2010：225–234.
[13] LAN H X，MARTIN C D，HU B. Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading[J]. Journal of Geophysical Research—Solid Earth，2010，115(B01202)：1–14.
[14] 胡训健，卞 康，刘 建，等. 细观结构的非均质性对花岗岩蠕变特性影响的离散元模拟研究[J]. 岩石力学与工程学报，2019，38(10)：2 069–2 083.(HU Xunjian，BIAN Kang，LIU Jian，et al. Discrete element simulation study on the influence of microstructure heterogeneity on the creep characteristics of granite[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(10)：2 069– 2 083.(in Chinese)).
[15] 刘帅奇，马凤山，郭 捷，等. 基于Multi Pb-GBM方法的花岗岩细观力学行为数值研究[J]. 岩石力学与工程学报，2020，39(11)：2 283–2 295.(LIU Shuaiqi，MA Fengshan，GUO Jie，et al. Numerical study on mesoscopic mechanical behaviors of granite based on Multi Pb-GBM method[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(11)：2 283–2 295.(in Chinese)).
[16] 刘黎旺，李海波，李晓峰，等. 基于矿物晶体模型非均质岩石单轴压缩力学特性研究[J]. 岩土工程学报，2020，42(3)：542–550.(LIU Liwang，LI Haibo，LI Xiaofeng，et al. Research on mechanical properties of heterogeneous rocks using grain-based model under uniaxial compression[J]. Chinese Journal of Geotechnical Engineering，2020，42(3)：542–550.(in Chinese))
[17] LI X F，ZHANG Q B，LI H B，et al. Grain-based discrete element method(GB-DEM) modelling of multi-scale fracturing in rocks under dynamic loading[J]. Rock Mechanics and Rock Engineering，2018，51(12)：3 785–3 817.
[18] LI X F，LI X，LI H B，et al. Dynamic tensile behaviours of heterogeneous rocks：The grain scale fracturing characteristics on strength and fragmentation[J]. International Journal of Impact Engineering，2018，118(1)：98–118.
[19] LI H，MA H L，SHI X L，et al. A 3D grain-based model for simulating the micromechanical behavior of salt rock[J]. Rock Mechanics and Rock Engineering，2020，53(6)：2 819–2 837.
[20] 杨圣奇，田文岭，董晋鹏. 高温后两种晶粒花岗岩破坏力学特性试验研究[J]. 岩土工程学报，2021，43(2)：281–289.(YANG Shengqi，TIAN Wenling，DONG Jingpeng. Experimental study on failure mechanical properties of granite with two grain sizes after thermal treatment[J]. Chinese Journal of Geotechnical Engineering，2021，43(2)：281–289.(in Chinese))
[21] PENG J，WONG L N Y，THE C I. Effects of grain size-to-particle size ratio on micro-cracking behavior using a bonded-particle grain-based model[J]. International Journal of Rock Mechanics and Mining Sciences，2017，100(1)：207–217.
[22] TIAN W L，YANG S Q，HUANG Y H，et al. Mechanical behavior of granite with diferent grain sizes after high-temperature treatment by particle flow simulation[J]. Rock Mechanics and Rock Engineering，2020，53(1)：1 791–1 807.
[23] 赵毅鑫，龚 爽，姜耀东，等. 基于半圆弯拉试验的煤样抗拉及断裂性能研究[J]. 岩石力学与工程学报，2016，35(6)：1 255–1 264. (ZHAO Yixin，GONG Shuang，JIANG Yaodong，et al. Characteristics of tensile strength and fracture properties of coal based on semi-circular bending tests[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(6)：1 255–1 264.(in Chinese))
[24] TAN X，KONIETZKY H，CHEN W. Numerical Simulation of heterogeneous rock using discrete element model based on digital image processing[J]. Rock Mechanics and Rock Engineering，2016，49(12)：4 957–4 964.
[25] LI J，KONIETZKY H，FRÜHWIRT T. Voronoi-based DEM Simulation approach for sandstone considering grain structure and pore size[J]. Rock Mechanics and Rock Engineering，2017，50(1)： 2 749–2 761.
[26] HUANG Y H，YANG S Q，RANJITH P G，et al. Strength failure behavior and crack evolution mechanism of granite containing pre-existing non-coplanar holes：Experimental study and particle flow modeling[J]. Computers and Geotechnics，2017，88(1)：182–198.
[27] XU Y，DAI F，XU N W，et al. Numerical investigation of dynamic rock fracture toughness determination using a semi-circular bend specimen in split Hopkinson pressure bar testing[J]. Rock Mechanics and Rock Engineering，2016，49(3)：731–745.
[28] DONG S M，XIA K W，HUANG S，et al. Rate dependence of the tensile and flexural strengths of glass-ceramic Macor[J]. Journal of Materials Science，2011，46(2)：394–399. |
|
|
|
2022, Vol. 41 
