Dynamic characteristics and fracture morphology of two rocks with different length to diameter ratios
ZHOU Jun1, 2, ZHAO Guangming2, 3, MENG Xiangrui2, SUN Jinshan1, YU Meilu3, WANG Congcong3, YAN Pan3
(1. State Key Laboratory of Precision Blasting, Jianghan University, Wuhan, Hubei 430056,China; 2. National Key Laboratory of Safe Mining of Deep Coal and Environmental Protection, Anhui University of Science and Technology, Huainan, Anhui 232001, China; 3. State Key Laboratory of Digital Intelligent Technology for Unmanned Coal Mining, Anhui University of Science and Technology, Huainan, Anhui 232001, China)
Abstract: The differences in rock mechanical behavior significantly influence mine disaster protection. To investigate the size effect of granite and sandstone under dynamic impact, the impact compression tests on sandstone and granite specimens with length-to-diameter ratios of 0.5, 0.6, 0.7, 0.8, 0.9 and 1.0 using split Hopkinson pressure bar (SHPB) system at an impact pressure of 0.75 MPa were conducted. The stress-strain curves, compressive strengths, peak strains, and elastic moduli of sandstone and granite specimens with varying length-to-diameter ratios were examined. The analysis of energy for rocks with different length-to-diameter ratios is included. The differences between sandstone and granite during the impact process using digital image correlation (DIC) and sketches were compared, and the rock fracture morphologies were analyzed. Furthermore, the relationship between rock failure and slab length using the Euler formula were examined. The results indicate that the two types of rock exhibit distinct and common patterns. The stress-strain curve of sandstone is relatively “smooth”, while the slope changes at each stage of the stress-strain curve for granite are pronounced. The variation in sandstone strength with length is greater than that of granite. Specifically, the compressive strength of sandstone is positively correlated with the length-to-diameter ratio, increasing as the ratio rises. In contrast, granite shows no significant size effect on strength. The peak strains of both sandstone and granite are negatively correlated with the length-to-diameter ratio, decreasing as the ratio increases; notably, the reduction in peak strain for sandstone is more substantial than that for granite. The elastic moduli of both sandstone and granite are positively correlated with the length-to-diameter ratio, with both increasing as the ratio grows. However, the increase in elastic modulus for sandstone with length is less than that for granite. In these tests, transverse cracks were observed on the surfaces of both sandstone and granite. As the length increased, the energy dissipation per unit volume of rock decreased, and the energy dissipation rate for sandstone was lower than that for granite. Additionally, as the length-to-diameter ratio increased, both rocks were more susceptible to fracturing. The buckling stress of the surrounding rock exhibited a negative correlation with length under dynamic loading conditions. The findings of this study can provide valuable insights for the stability control of roadway surrounding rock.
周 俊1,2,赵光明2,3,孟祥瑞2,孙金山1,于美鲁3,汪聪聪3,燕 磐3. 高径比差异条件下花岗岩和砂岩动态特性及破裂形态研究[J]. 岩石力学与工程学报, 2025, 44(9): 2379-2390.
ZHOU Jun1, 2, ZHAO Guangming2, 3, MENG Xiangrui2, SUN Jinshan1, YU Meilu3, WANG Congcong3, YAN Pan3. Dynamic characteristics and fracture morphology of two rocks with different length to diameter ratios. , 2025, 44(9): 2379-2390.
胡时胜,王礼立,宋 力,等. Hopkinson压杆技术在中国的发展回顾[J]. 爆炸与冲击,2014,34(6):641-657.(HU Shisheng,WANG Lili,SONG Li,et al. Review on the development of Hopkinson pressure bar technology in China[J]. Explosion and Shock Waves,2014,34(6):641-657.(in Chinese))
[2]
宫凤强,李夕兵,刘希灵. 三轴SHPB加载下砂岩力学特性及破坏模式试验研究[J]. 振动与冲击,2012,31(8):29-32.(GONG Fengqiang,LI Xibing,LIU Xiling. Tests for sandstone mechnical properties and failure model under triaxial SHPB loading[J]. Journal of Vibration and Shock,2012,31(8):29-32.(in Chinese))
[3]
ZHOU Z L,ZHAO Y,JIANG Y H,et al. Dynamic behavior of rock during its post failure stage in SHPB tests[J]. Transactions of Nonferrous Metals Society of China,2017,27(1):184-196.
[4]
YAN Z,JIN J,WANG L,et al. Experimental and numerical study on the dynamic mode III fracture behaviors of rock using an axially notched flattened Brazilian disc in SHPB tests[J]. International Journal of Impact Engineering,2024,190:104976.
[5]
GUANGFA G. Stress wave effects and their mechanisms on stress-strain curves in the elastic phase of SHPB tests[J]. International Journal of Impact Engineering,2024,193:105061.
[6]
XIE Y,PENG Z,ZHU Z,et al. Low-medium loading rate effect on dynamic fracture toughness of sandstone scaled model[J]. Engineering Fracture Mechanics,2023,294:109731.
[7]
ANDERSEN R G,NIELSEN K L. Dynamic size effects across the scales:Localization in round notched bars[J]. International Journal of Solids and Structures,2022,258:111989.
[8]
SONG Z,YU C,GUO D,et al. High-temperature dynamic failure behavior and compressive mechanical properties of alumina porous ceramic with various pore sizes[J]. International Journal of Impact Engineering,2024,192:105024.
[9]
HAN Z,LI D,LI X. Dynamic mechanical properties and wave propagation of composite rock-mortar specimens based on SHPB tests[J]. International Journal of Mining Science and Technology,2022,32:793-806.
[10]
赵光明,周 俊,孟祥瑞,等. 高径比差异条件下花岗岩岩石动态冲击压缩特性[J]. 岩石力学与工程学报,2021,40(7):1 392-1 401. (ZHAO Guangming,ZHOU Jun,MENG Xiangrui,et al. Dynamic impact compression characteristics of granite rocks under different height-diameter ratios[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(7):1 392-1 401.(in Chinese))
[11]
周 俊,赵光明,孟祥瑞,等. 高径比差异条件下花岗岩动态冲击能量耗散及破碎特征[J]. 采矿与安全工程学报,2023,40(2):379-386.(ZHOU Jun,ZHAO Guangming,MENG Xiangrui,et al. Dynamic impact energy dissipation characteristics of granite with different height-diameter ratios[J]. Journal of Mining and Safety Engineering,2023,40(2):379-386.(in Chinese))
[12]
KHAN M M,IQBAL M A .Strain rate and size effects on dynamic tensile behaviour of standard and high-strength concrete:An experimental study[J]. Structures,2024,63:106325.
[13]
王 磊,袁秋鹏,谢广祥,等. 冲击载荷下煤样能量耗散与破碎分形的长径比效应[J]. 煤炭学报,2022,47(4):1 534-1 546.(WANG Lei,YUAN Qiupeng,XIE Guangxiang,et al. Length-diameter ratio effect of energy dissipation and fractals of coal samples under impact loading[J]. Journal of China Coal Society,2022,47(4):1 534-1 546. (in Chinese))
[14]
王 磊,陈礼鹏,袁秋鹏,等. 不同冲击气压下煤样动态剪切强度的长径比效应[J]. 岩土工程学报,2024,46(1):131-139.(WANG Lei,CHEN Lipeng,YUAN Qiupeng,et al. Length-diameter ratio effects of dynamic shear strength of coal samples under different impact air pressures[J]. Chinese Journal of Geotechnical Engineering,2024,46(1):131-139.(in Chinese))
[15]
王 磊,邹 鹏,谢广祥,等. 冲击载荷下不同尺寸煤岩动力学分析及损伤特性研究[J]. 振动与冲击,2023,42(22):322-331. (WANG Lei,ZOU Peng,XIE Guangxiang,et al. Dynamic analysis and damage characteristics of coal and rock with different sizes under impact loading[J]. Journal of Vibration and Shock,2023,42(22):322-331.(in Chinese))
[16]
GUAN Z,LI Y,LAI Z,et al. Size effect of concrete based on split Hopkinson pressure bar(SHPB) test[J]. Construction and Building Materials,2024,441:137449.
[17]
吴拥政,孙卓越,付玉凯. 三维动静加载下不同长径比煤样力学特性及能量耗散规律[J]. 岩石力学与工程学报,2022,41(5):877- 888.(WU Yongzheng,SUN Zhuoyue,FU Yukai. Mechanical properties and energy dissipation laws of coal samples with different length-to- diameter ratios under 3D coupled static and dynamic loads[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(5):877-888. (in Chinese))
[18]
王诗杰,王志亮,封陈晨,等. 动静组合加载下长径比对岩样峰值应力与破坏形态影响研究[J]. 采矿与岩层控制工程学报,2024,6(4):130-140.(WANG Shijie,WANG Zhiliang,FENG Chenchen,et al. Study on the influence of aspect ratio on peak stress and failure mode of rock samples under the combined dynamic and static loading[J]. Journal of Mining and Strata Control Engineering,2024,6(4):130-140.(in Chinese))
[19]
张 盛,王 峥,张旭龙,等. 不同尺寸砂岩动态力学性质和应力平衡性的试验研究[J]. 爆炸与冲击,2022,42(10):22-38.(ZHANG Sheng,WANG Zheng,ZHANG Xulong,et al. Rock dynamic mechanical properties and dynamic stress balance of sandstone specimens with different sizes[J]. Explosion and Shock Waves,2022,42(10):22-38.(in Chinese))
[20]
张 盛,喻炳鑫,王 峰,等. 不同尺寸含裂缝岩样动态破坏特征的实验研究[J]. 采矿与安全工程学报,2021,38(5):1 045-1 054. (ZHANG Sheng,YU Bingxin,WANG Feng,et al. Rock dynamic mechanical properties and dynamic stress balance of sandstone specimens with different sizes[J]. Journal of Mining and Safety Engineering,2021,38(5):1 045-1 054.(in Chinese))
[21]
杨仁树,李炜煜,李永亮,等. 3种岩石动态拉伸力学性能试验与对比分析[J]. 煤炭学报,2020,45(9):3 107-3 118.(YANG Renshu,LI Weiyu,LI Yongliang,et al. Comparative analysis on dynamic tensile mechanical properties of three kinds of rocks[J]. Journal of China Coal Society,2020,45(9):3 107-3 118.(in Chinese))
[22]
周 磊,朱哲明,董玉清,等. 砂岩在不同应变率条件下的劈裂破坏特性[J]. 中南大学学报:自然科学版,2021,52(2):555-567. (ZHOU Lei,ZHU Zheming,DONG Yuqing,et al. Fracture properties of sandstone materials at different strain rates[J]. Journal of Central South University:Natural Science,2021,52(2):555-567. (in Chinese))
[23]
梁书锋,吴帅峰,李胜林,等. 岩石材料SHPB实验试件尺寸确定的研究[J]. 工程爆破,2015,21(5):1-5.(LIANG Shufeng,WU Shuaifeng,LI Shenglin,et al. Study on the determination of specimen size in SHPB experiments of rock materials[J]. Engineering Blasting,2015,21(5):1-5.(in Chinese))
[24]
平 琦,张 号,苏海鹏. 不同长度石灰岩动态压缩力学性质试验研究[J]. 岩石力学与工程学报,2018,37(增2):3 891-3 897.(PING Qi,ZHANG Hao,SU Haipeng. Study on dynamic compression mechanical properties of limestone with different lengths[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(Supp.2):3 891- 3 897.(in Chinese))
[25]
KAO S,ZHAO G,XU W,et al. Experimental study of the association between sandstone size effect and strain rate effect[J]. Journal of Mechanical Science and Technology,2020,34(9):3 597-3 608.
[26]
谢 璨,李树忱,晏 勤,等. 不同尺寸裂隙岩石损伤破坏特性光弹性试验研究[J]. 岩土工程学报,2018,40(3):568-575.(XIE Can,LI Shuchen,YAN Qin,et al. Photoelastic experiments on failure characteristics of fractured rock with different sizes[J]. Chinese Journal of Geotechnical Engineering,2018,40(3):568-575.(in Chinese))
[27]
王德荣,刘昭言,刘家贵,等. 砂岩和花岗岩的动态性能与能量耗散分析[J]. 北京理工大学学报,2017,37(12):1 217-1 223.(WANG derong,LIU Zhaoyan,LIU Jiagui,et al. Analysis of dynamic properties and energy dissipation of sandstone and granite[J]. Transactions of Beijing Institute of Technology,2017,37(12):1 217- 1 223.(in Chinese))
[28]
蒋志坚,孙 赑,平 扬,等. 基于大直径SHPB的岩石动态响应特征试验[J]. 采矿与岩层控制工程学报,2021,3(4):34-40. (JIANG Zhijian,SUN Bi,PING Yang,et al. Experimental study on dynamic response characteristics of rockusing based on large diameter SHPB[J]. Journal of Mining and Strata Control Engineering,2021,3(4):34-40.(in Chinese))
[29]
武仁杰,李海波,李晓锋,等. 不同冲击载荷下层状千枚岩压缩力学特性研究[J]. 岩石力学与工程学报,2019,38(增2):3 304-3 312. (WU Renjie,LI Haibo,LI Xiaofeng,et al. Dynamic mechanical properties of layered phyllite subject to different impact loads[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(Supp.2):3 304-3 312.(in Chinese))
[30]
李地元. 高应力硬岩胞性板裂破坏和应变型岩爆机制研究[博士学位论文][D]. 长沙:中南大学,2010.(LI Diyuan. Study on the brittle spalling failure of hard rock and the mechanism of strainbust under high in-situ stresses[Ph. D. Thesis][D]. Changsha:Central South University,2010.(in Chinese))