Effect of the size and strain rate on the particle strength of rockfill materials#br#
DENG Yuanhang1, 2, 3, CHI Shichun1, 2, 3, YAN Shihao1, 2, 3
(1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China;
2. Institute of Earthquake Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China;
3. School of Infrastructure Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China)
Abstract:To investigate the coupling mechanisms of fracture strength, size effect, and strain rate effect in rockfill particles under seismic loading, single-particle strength crushing tests were conducted on Dalian limestone using a self-developed TPWS–800 medium-strain-rate loading apparatus. The particle sizes ranged from 60 to 300 mm, with displacement loading rates of 0.01, 0.1, 1 and 10 mm/s. The experimental results revealed that the characteristic strength of larger particles increased more significantly than that of smaller particles, indicating enhanced strength rate effects in larger particles. Conversely, higher strain rates resulted in a weakening of the size effect. Based on the generalized weakest-link Weibull model, a power function was employed to characterize the sparsity of spatial microcrack distributions within the particles. The fitting of particle strengths under different loading rates demonstrated significantly better performance compared to models assuming uniform crack distributions. Furthermore, the crack distribution exponent decreased with increasing loading rates, indicating that higher loading rates caused “effective cracks” to become progressively sparser. This phenomenon corresponds to the strain rate dependence of particle strength.
邓远航1,2,3,迟世春1,2,3,闫世豪1,2,3. 堆石颗粒强度尺寸效应和应变率效应研究[J]. 岩石力学与工程学报, 2025, 44(7): 1950-1958.
DENG Yuanhang1, 2, 3, CHI Shichun1, 2, 3, YAN Shihao1, 2, 3. Effect of the size and strain rate on the particle strength of rockfill materials#br#. , 2025, 44(7): 1950-1958.
章为民,陈生水. 紫坪铺面板堆石坝汶川地震永久变形实测结果分析[J]. 水力发电,2010,36(8):51-53.(ZHANG Weimin,CHEN Shengshui. Analysis on permanent deformation monitoring data of Zipingpu concrete faced rockfill dam after Wenchuan earthquake[J]. Water Power,2010,36(8):51-53.(in Chinese))
[2]
陈生水,霍家平,章为民. “5.12”汶川地震对紫坪铺混凝土面板坝的影响及原因分析[J]. 岩土工程学报,2008,30(6):795-801.(CHEN Shengshui,HUO Jiaping,ZHANG Weimin. Analysis of effects of “5.12” Wenchuan earthquake on Zipingpu concrete face rock-fill dam[J]. Chinese Journal of Geotechnical Engineering,2008,30(6):795-801.(in Chinese))
[3]
XIAO Y,MENG M,DAOUADJI A,et al. Effects of particle size on crushing and deformation behaviors of rockfill materials[J]. Geoscience Frontiers,2020,11(2):375-388.
[4]
周海娟,马 刚,袁 葳,等. 堆石颗粒压缩破碎强度的尺寸效应[J]. 岩土力学,2017,38(8):2 425-2 433.(ZHOU Haijuan,MA Gang,YUAN Wei,et al. Size effect on the crushing strengths of rock particles[J]. Rock and Soil Mechanics,2017,38(8):2 425-2 433.(in Chinese))
[5]
LIM W L,MCDOWELL G R,COLLOP A C. The application of Weibull statistics to the strength of railway ballast[J]. Granular Matter,2004,6(4):229-237.
[6]
迟世春,王 峰,贾宇峰,等. 考虑细观单粒强度的堆石料破碎特性研究[J]. 岩土工程学报,2015,37(10):1 780-1 785.(CHI Shichun,WANG Feng,JIA Yufeng,et al. Modeling particle breakage of rockfill materials based on single particle strength[J]. Chinese Journal of Geotechnical Engineering,2015,37(10):1 780-1 785.(in Chinese))
[7]
闫世豪,迟世春,王晋伟,等. 考虑微裂纹随机分布的堆石颗粒准静态强度统计模型[J]. 岩土力学,2024,45(5):1 378-1 387.(YAN Shihao,CHI Shichun,WANG Jinwei,et al. Statistical model for quasi-static strength of rockfill particles considering random distribution of microcracks[J]. Rock and Soil Mechanics,2024,45(5):1 378-1 387.(in Chinese))
[8]
LEI W. A generalized weakest-link model for size effect on strength of quasi-brittle materials[J]. Journal of Materials Science,2018,53(2):1 227-1 245.
[9]
QIAN G,LEI W,YU Z,et al. Statistical size scaling of breakage strength of irregularly-shaped particles[J]. Theoretical and Applied Fracture Mechanics,2019,102:51-58.
[10]
郭 宇,迟世春,米晓飞. 粗粒土颗粒强度和弹性力学参数的试验研究[J]. 岩土工程学报,2021,43(9):1 675-1 681.(GUO Yu,CHI Shichun,MI Xiaofei. Experimental study on particle strength and elastic mechanical parameters of coarse-grained soil[J]. Chinese Journal of Geotechnical Engineering,2021,43(9):1 675-1 681.(in Chinese))
[11]
ZHANG Q B,ZHAO J. A review of dynamic experimental techniques and mechanical behaviour of rock materials[J]. Rock Mechanics and Rock Engineering,2014,47(4):1 411-1 478.
[12]
洪 亮,李夕兵,马春德,等. 岩石动态强度及其应变率灵敏性的尺寸效应研究[J]. 岩石力学与工程学报,2008,27(3):526-533.(HONG Liang,LI Xibing,MA Chunde,et al. Study on size effect of rock dynamic strength and strain rate sensitivity[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(3):526-533.(in Chinese))
[13]
JIN L,YU W,LI D,et al. Numerical and theoretical investigation on the size effect of concrete compressive strength considering the maximum aggregate size[J]. International Journal of Mechanical Sciences,2021,192:106130.
[14]
丁林楠,李国英. 基于分形级配方程的堆石料颗粒破碎SBG模型[J]. 岩土工程学报,2022,44(2):264-270.(DING Linnan,LI Guoying. SBG model for particle breakage of rockfills based on fractal gradation equation[J]. Chinese Journal of Geotechnical Engineering,2022,44(2):264-270.(in Chinese))
[15]
周永强,盛 谦,李娜娜,等. 不同应变率下岩石材料强度和模量的动态增强因子模型研究[J]. 岩石力学与工程学报,2020,39(增2):3 245-3 259.(ZHOU Yongqiang,SHENG Qian,LI Nana,et al. Dynamic increasing factor model for strength and modulus of rock materials at different strain rates[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(Supp.2):3 245-3 259.(in Chinese))
[16]
孟庆彬,韩立军,浦 海,等. 尺寸效应和应变速率对岩石力学特性影响的试验研究[J]. 中国矿业大学学报,2016,45(2):233-243.(MENG Qingbin,HAN Lijun,PU Hai,et al. Effect of the size and strain rate on the mechanical behavior of rock specimens[J]. Journal of China University of Mining and Technology,2016,45(2):233-243.(in Chinese))
[17]
黄 达,黄润秋,张永兴. 粗晶大理岩单轴压缩力学特性的静态加载速率效应及能量机制试验研究[J]. 岩石力学与工程学报,2012,31(2):245-255.(HUANG Da,HUANG Runqiu,ZHANG Yongxing. Experimental investigations on static loading rate effects on mechanical properties and energy mechanism of coarser crystal grain marble under uniaxial compression conditions[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(2):245-255.(in Chinese))
[18]
宫凤强,王 进,李夕兵. 岩石压缩特性的率效应与动态增强因子统一模型[J]. 岩石力学与工程学报,2018,37(7):1 586-1 595. (GONG Fengqiang,WANG Jin,LI Xibing. The rate effect of compression characteristics and a unified model of dynamic increasing factor for rock materials[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(7):1 586-1 595.(in Chinese))
[19]
王洪亮,范鹏贤,王明洋,等. 应变率对红砂岩渐进破坏过程和特征应力的影响[J]. 岩土力学,2011,32(5):1 340-1 346.(WANG Hongliang,FAN Pengxian,WANG Mingyang,et al. Influence of strain rate on progressive failure process and characteristic stresses of red sandstone[J]. Rock and Soil Mechanics,2011,32(5):1 340-1 346.(in Chinese))
[20]
OVALLE C,FROSSARD E,DANO C,et al. The effect of size on the strength of coarse rock aggregates and large rockfill samples through experimental data[J]. Acta Mechanica,2014,225(8):2 199-2 216.
[21]
BEREMIN F M,PINEAU A,MUDRY F,et al. A local criterion for cleavage fracture of a nuclear pressure vessel steel[J]. Metallurgical and Materials Transactions A—Physical Metallurgy and Materials Science,1983,14:2 277-2 287.
[22]
LEI W,QIAN G,YU Z,et al. Statistical size scaling of compressive strength of quasi-brittle materials incorporating specimen length-to-diameter ratio effect[J]. Theoretical and Applied Fracture Mechanics,2019,104:102345.
[23]
YU Z,LEI W,ZHAI J. A synchronized statistical characterization of size dependence and random variation of breakage strength of individual brittle particles[J]. Powder Technology,2017,317:329-338.
[24]
金 浏,余文轩,杜修力,等. 基于细观模拟的混凝土动态压缩强度尺寸效应研究[J]. 工程力学,2019,36(11):50-61.(JIN Liu,YU Wenxuan,DU Xiuli,et al. Reserch on size effect of dynamic compressive strength of concrete based on meso-scale simulation[J]. Engineering Mechanics,2019,36(11):50-61.(in Chinese))