[1] Bazant Z P, Yu Q. Universal size effect law and effect of crack depth on quasi-brittle structure strength[J]. Journal of Engineering Mechanics, 2009, 135(2): 78-84.
[2] Weibull W. A statistical distribution function of wide applicability[J]. Journal of Applied Mechanics, 1951, 18:293-297.
[3] Bazant Z P. Size effect in blunt fracture: concrete, rock, metal[J]. Journal of Engineering Mechanics, 1984, 110(4): 518-535.
[4] Bazant Z P, Xi Y. Statistical size effect in quasi-brittle structures: II. Nonlocal theory[J]. Journal of Engineering Mechanics, 1991, 117(11): 2623-2640.
[5] Bazant Z P, KazemI M T. Determination of fracture energy, process zonelongth and brittleness number from size effect, with application to rock and conerete[J]. International Journal of Fracture, 1990, 44(2): 111-131.
[6] 杜彬. 岩石强度尺寸效应研究现状及展望[J]. 山西建筑, 2017, 43(26): 64-66.(Du Bin. Research status and prospect of size effect on rock strength[J]. Shanxi Architecture, 2017, 43(26): 64-66. (in Chinese))
[7] 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): 1392-1401. (Zhao Guangming,Zhou Jun,Meng Xiangrui,et al. Dynamic impact compression characteristics of granite rocks with different length-diameter ratios[J]. Chinese Journal of Rock Mechanics and Engineering,2021, 40(7): 1392-1401. (in Chinese))
[8] 贺桂成, 李玉兰, 丁德馨. 不同高径比石膏试样强度与尺寸效应的试验研究[J]. 地下空间与工程学报, 2016, 12(6): 1464-1470. (He Guicheng,Li Yulan,Ding Dexin,et al. Experimental investigation on strength and size effect of the gypsum sample in different height to diameter ratios[J]. Chinese Journal of Underground Space and Engineering,2016, 12(6): 1464-1470. (in Chinese))
[9] 孙友杰, 戚承志, 朱华挺, 等. 岩石动态断裂过程的能量分析[J]. 地下空间与工程学报, 2020, 16(1): 43-49. (Sun Youjie,Qi Chengzhi,Zhu Huating,et al. Energy analysis on rock dynamic fracture process [J]. Chinese Journal of Underground Space and Engineering,2020, 16(1): 43-49. (in Chinese))
[10] 马文伟, 赵光明, 孟祥瑞,等. 冲击载荷下砂岩强度特性及破坏规律研究[J]. 地下空间与工程学报, 2016, 12(2):374-380. (Ma Wenwei,Zhao Guangming,Meng Xiangrui,et al. Research on strength properties and failure law of sandstone under impact loading [J]. Chinese Journal of Underground Space and Engineering,2016, 12(2):374-380. (in Chinese))
[11] 刘石, 许金余, 陈腾飞, 等. 基于 SHPB 试验的岩石动态力学响应分析[J]. 地下空间与工程学报, 2013, 9(5): 992-995. (Liu Shi,Xu Jinyu,Chen Tengfei,et al. Study on dynamic response of rock based on split Hopkinson pressure bar test [J]. Chinese Journal of Underground Space and Engineering,2013, 9(5): 992-995. (in Chinese))
[12] 王建国, 雷振, 杨阳, 等. 饱水冻结花岗岩动态力学性状的应变率效应[J]. 地下空间与工程学报, 2018, 14(5): 1292-1297. (Wang Jianguo,Lei Zhen,Yang Yang,et al. Strain rate effect of dynamic mechanical characteristics of saturated freezing granite [J]. Chinese Journal of Underground Space and Engineering,2018, 14(5): 1292-1297. (in Chinese))
[13] 李晓锋, 李海波, 刘凯, 等.冲击荷载作用下岩石动态力学特性及破裂特征研究[J].岩石力学与工程学报, 2017, 36(10):2393-2405.(Li Xiaofeng,Li Haibo,Liu Kai,et al. Dynamic properties and fracture characteristics of rocks subject to impact loading[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(10):2393-2405. (in Chinese))
[14] Feng P, Xu Y, Dai F. Effects of dynamic strain rate on the energy dissipation and fragment characteristics of cross-fissured rocks[J]. International Journal of Rock Mechanics and Mining Sciences, 2021, 138: 104600.
[15] 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))
[16] Li X F, Li H B, Zhang Q B, et al. Dynamic fragmentation of rock material: Characteristic size, fragment distribution and pulverization law[J]. Engineering Fracture Mechanics, 2018, 199: 739-759.
[17] Qi C Z, Wang M Y, Bai J P, et al. Mechanism underlying dynamic size effect on rock mass strength[J]. International Journal of Impact Engineering, 2014, 68: 1-7.
[18] 戚承志, 钱七虎, 陈灿寿, 等. 准脆材料动力强度的本质和侧向惯性约束作用[J]. 地下空间与工程学报, 2013, 9(5): 975-980. (Qi Chengzhi,Qian Qihu,Chen Canshou,et al. The essence of dynamic strength of quasi-brittle materials and the role of lateral inertia confinement effect[J].Chinese Journal of Underground Space and Engineering, 2013, 9(5): 975-980. (in Chinese))
[19] Qi C Z, Wang M Y, Bai J P, et al. Investigation into size and strain rate effects on the strength of rock-like materials[J]. International Journal of Rock Mechanics and Mining Sciences, 2016, 86: 132-140.
[20] Brace W F,Bombolakis E G. A note on brittle crack growth in compression[J]. Journal of Geophysical Research, 1963, 68(12): 3709-3713.
[21] Fairhurst C, Cook N. The of maximum phenomenon of rock splitting parallel to the direction compression in theneighbourhood of a surface[A]//1st ISRM Congress[C]. OnePetro, Lisbon: Portugal, 1966, 115: 687-692.
[22] Ashby M F, Hallam S D. The failure of brittle solids containing small cracks under compressive stress states[J]. ActaMetallurgica, 1986, 34(3): 497-510.
[23] Ashby M F, Sammis C G. The damage mechanics of brittle solids in compression[J]. Pure and Applied Geophysics, 1990, 133(3): 489-521.
[24] Horii H, Nemat-Nasser S. Compression‐induced microcrack growth in brittle solids: Axial splitting and shear failure[J]. Journal of Geophysical Research: Solid Earth, 1985, 90(B4): 3105-3125.
[25] Horii H, Nemat-Nasser S. Brittle failure in compression: splitting faulting and brittle-ductile transition[J]. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1986, 319(1549): 337-374.
[26] Renshaw C E,Schulson E M. Universal behaviour in compressive failure of brittle materials[J]. Nature, 2001, 412(6850): 897-900.
[27] Nemat-Nasser S, Deng H. Strain-rate effect on brittle failure in compression[J]. Acta Metallurgica et Materialia, 1994, 42(3): 1013-1024.
[28] Bhat H S,Rosakis A J, Sammis C G. A micromechanics based constitutive model for brittle failure at high strain rates[J]. Journal of Applied Mechanics, 2012, 79(3):1-12.
[29] Deshpande V S, Evans A G. Inelastic deformation and energy dissipation in ceramics: A mechanism-based constitutive model[J]. Journal of the Mechanics and Physics of Solids, 2008, 56(10): 3077-3100.
[30] 李晓照, 张骐烁, 贾亚星, 等. 预压脆性岩石动态宏细观力学模型研究[J]. 地下空间与工程学报, 2022, 18(4): 1089-1096. (Li Xiaozhao,Zhang Qishuo, Jia Yaxing,et al. Dynamic macro-micro mechanical model of brittle rocks under precompression[J].Chinese Journal of Underground Space and Engineering, 2022, 18(4): 1089-1096. (in Chinese))
[31] 李晓照, 戚承志, 邵珠山. 岩石裂纹扩展诱发的强度弱化模型研究[J]. 地下空间与工程学报, 2020, 16(1): 26-34. (Li Xiaozhao,Qi Chengzhi,Shao Zhushan,et al. Study on strength weakening model induced by microcrack growth in rocks[J].Chinese Journal of Underground Space and Engineering, 2020, 16(1): 26-34. (in Chinese))
[32] 王国艳, 于广明, 宋传旺. 初始裂隙几何要素对岩石裂隙分维演化的影响[J]. 地下空间与工程学报, 2011, 7(6): 1148-1152. (Wang Guoyan,Yu Guangming,Song Chuanwang,et al. Study on strength weakening model induced by microcrack growth in rocks[J].Chinese Journal of Underground Space and Engineering, 2011, 7(6): 1148-1152. (in Chinese))
[33] 郝志斌,左宇军,刘镐,等.节理倾角对不规则砂岩破裂力学机制的影响研究[J].地下空间与工程学报,2022,18(6):1906-1915.(Hao Zhibin,Zuo Yujun,Liu Hao,et al.Research on the influence of joint dip on the fracture mechanics of irregular sandstone[J].Chinese Journal of Underground Space and Engineering,2022,18(6):1906-1915.(in Chinese))
[34] 张亮,王桂林,张益晨,等.干湿循环下节理砂岩细观能量演化规律研究[J].地下空间与工程学报,2024,20(1):42-54,63.(Zhang Liang,Wang Guilin,Zhang Yichen,et al. Study on meso-energy evolution law of jointed sandstone under dry-wet cycle[J].Chinese Journal of Underground Space and Engineering,2024,20(1):42-54,63.(in Chinese))
[35] Qi C Z, Xia C,Dyskin A, et al. Effect of crack interaction and friction on the dynamic strength of rock-like materials with many cracks[J]. Engineering Fracture Mechanics, 2021, 257: 108006.
[36] Qi C Z, Zhao F,Dyskin A V, et al. Crack interaction and fracturing of geomaterials with multiscale cracks[J]. International Journal of Rock Mechanics and Mining Sciences, 2022, 153: 105084.
[37] 徐文涛, 朱哲明, 汪波,等. 在压缩荷载下含共线裂纹岩石断裂破坏的实验研究[J]. 工程科学与技术, 2012 (增2): 49-51.(Xu Wentao,Zhu Zheming,Wang Bo,et al. Experimental study on the fracture properties of rock with collinear cracks under compression[J]. Advanced Engineering Sciences, 2012 (Supp.2): 49-51. (in Chinese))
[38] Qi C Z, Yan F Y, Zhao F, et al. On the nature of energy-horizon and determination of length scales in dynamic fragmentation of rocks[J]. International Journal of Impact Engineering, 2022, 166: 104242.
[39] Kolari K. A complete three-dimensional continuum model of wing-crack growth in granular brittle solids[J]. International Journal of Solids and Structures, 2017, 115: 27-42.
[40] 洪亮. 冲击荷载下岩石强度及破碎能耗特征的尺寸效应研究[D]. 长沙: 中南大学, 2008.(Hong Liang. Size effect on strength and energy dissipation in fracture of rock under impact loads[D]. Changsha:Central South University,2008. (in Chinese))
[41] 梁书锋, 武宇, 刘殿书, 等. SHPB 恒应变率加载试验技术研究[J]. 郑州大学学报: 工学版, 2018, 39(2): 50-55.(Liang Shufeng,Wu Yu,Liu Dianshu,et al. Study on SHPB techniques of constant strain rate loading[J].Journal of Zhengzhou University (Engineering Science Edition), 2018, 39(2): 50-55. (in Chinese))
[42] 吴秋红, 赵伏军, 李夕兵, 等. 不同截面形状砂岩试样的力学特性试验研究[J]. 地下空间与工程学报, 2019, 15(2): 428-434.(Wu Qiuhong,Zhao Fujun,Li Xibing,et al. Experimental study on mechanical properties of sandstone with different cross-sectional shapes[J]. Chinese Journal of Underground Space and Engineering, 2019, 15(2): 428-434. (in Chinese))
[43] Oconnell R J, Budiansky B. Seismic velocities in dry and saturated cracked solids[J]. Journal of Geophysical Research, 1974, 79(35): 5412-5426.
[44] 梁昌玉, 李晓, 李守定, 等. 岩石静态和准动态加载应变率的界限值研究[J]. 岩石力学与工程学报, 2012, 31(6): 1156-1161.(Liang Changyu,Li Xiao,Li Shouding,et al. Study of strain rates threshold value between static loading and quasi-dynamic loading of rock[J]. Chinese Journal of Rock Mechanics and Engineering,2012, 31(6): 1156-1161. (in Chinese))