[1] Kaplan M F. Crack propagation and the fracture of concrete[J]. ACI Structural Journal,1961,58(11):591-610.
[2] Kesler C E, Naus D J, Lott L L. Fracture mechanics-its applicability to concrete. In: Proceedings of the international conference on the mechanical behavior of materials[C], Kyoto, 1971, vol. 4. The Society of Material Science, 1972:113-124.
[3] Hillerborg A, Modeer M, Petersson P E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements[J]. Cement and Concrete Research, 1976, 6: 773-782.
[4] Bazant Z P, Oh B H. Crack band theory for fracture concrete[J]. Materials and Structures (RILEM), 1983,16(93):155-167.
[5] Bazant Z P, Kazemi M T. Determination of fracture energy, process zone length, and brittleness number from size effect with application to rock and concrete[J]. International Journal of Fracture,1990,44(2):111-131.
[6] Nallathambi P, Karihaloo B L. Determination of the specimen size independent fracture toughness of plain concrete[J]. Magazine of Concrete Research,1986,38(135):67-76.
[7] Jenq Y S, Shah S P. Two-parameter fracture model for concrete[J]. Journal of Engineering Mechanics, 1985,111(10): 1227–1241.
[8]徐世烺. 混凝土双K断裂参数计算理论及规范化测试方法[J]. 三峡大学学报(自然科学版),2002,24(1):1-8.
XU Shi-lang. The Calculation Approaches of Double-K Fracture Parameters of Concrete and a Possible Coding Standard Test Method for Determining Them[J]. Journal of China Three Gorges University (Natural Science),2002,24(1):1-8.
[9] Morales-Alonsoa G, Rey-de-Pedrazab V, Gálvezb F, et al. Numerical simulation of fracture of concrete at different loading rates by using the cohesive crack model[J]. Theoretical and Applied Fracture Mechanics, 2018,96:308-325.
[10] 金浏,杜修力.加载速率及其突变对混凝土压缩破坏影响的数值研究[J]. 振动与冲击,2014, 33 (19): 187-193.
JIN Liu,DU Xiu-li. Effects of loading rate and its sudden change on concrete compressive failure[J]. Journal of vibration and shock, 2014, 33 (19): 187-193.
[11] 田威,韩女,张鹏坤. 混凝土冻融循环下动态破损机理的试验研究[J]. 振动与冲击,2017, 36 (8): 79-85.
TIAN Wei, HAN Nü, ZHANG Peng-kun. Experimental study on the dynamic damage mechanism of concrete under freeze-thaw cycles[J]. Journal of vibration and shock, 2014, 33 (19): 187-193.
[12]范向前,胡少伟,陆俊,等.不同初始损伤混凝土动态轴向拉伸试验研究[J]. 振动与冲击,2016, 35 (17): 117-133.
FAN Xiang-qian, HU Sao-wei, LU Jun, et al. Dynamic axial tensile tests of concrete with different initial damages[J]. Journal of vibration and shock, 2016, 35 (17): 117-133.
[13]聂良学,许金余,任韦波,等.不同温度及加载速率对混凝土冲击变形韧性影响[J].振动与冲击,2015,34( 6) :67-71,
NIE Liang-xue, XU Jin-yu, REN Wei-bo, et al. Effects of temperature and impact velocity on impact deformation and toughness of concrete[J]. Journal of Vibration and Shock,2015, 34(6): 67-71.
[14]李杰, 晏小欢,任晓丹.不同加载速率下混凝土单轴受压性能大样本试验研究[J].建筑结构学报, 2016,37( 8) : 66-75.
LI Jie,YAN Xiao-huan,REN Xiao-dan. Large-sample experimental study on uniaxial compressive behavior of concrete under different loading rates[J].Journal of Building Structures,2016,37( 8) :66-75.
[15] Zhu ZM, Mohanty B, Xie HP. Numerical investigation of blasting-induced crack initiation and propagation in rocks[J]. International Journal of Rock Mechanics and Mining Sciences,2007,44(3):412-424.
[16] Zhu Z, Xie H. and Mohanty B. Numerical Investigation of Blasting-induced damage in Cylindrical Rocks[J]. International Journal of Rock Mechanics and Mining Sciences, 2008,45(2):111-121.
[17] Zhu Z, Wang C, Kang JM, et al. Study on the mechanism of zonal disintegration around an excavation[J]. International Journal of Rock Mechanics and Mining Sciences,2014,67(4):88- 95.
[18] Zhang QB, Zhao J. Determination of mechanical properties and full-field strain measurements of rock material under dynamic loads[J]. International Journal of Rock Mechanics and Mining Sciences,2013,60(8):423-439.
[19] Lee D, Tippur H, Bogert P. Dynamic fracture of graphite/epoxy composites stiffened by buffer strips: An experimental study[J]. Composite Structures, 2012, 94(12): 38-45.
[20] Avachat S, Zhou M. High-speed digital imaging and computational modeling of dynamic failure in composite structures subjected to underwater impulsive loads[J]. International Journal of Impact Engineering, 2015, 77:147-165.
[21] Jiang FC, Vecchio KS. Hopkinson bar loaded fracture experimental technique: a critical review of dynamic fracture toughness tests[J]. Applied Mechanics Reviews, 2009,62(6): 1469-1474.
[22] Wang QZ, Feng F, Ni M, et al. Measurement of mode I and mode II rock dynamic fracture toughness with cracked straight through flattened Brazilian disc impacted by split Hopkinson pressure bar[J]. Engineering Fracture
Mechanics, 2011,78(12):2455-2469.
[23] 王 蒙,朱哲明,谢 军. 岩石I-II 复合型裂纹动态扩展SHPB 实验及数值模拟研究[J]. 岩石力学与工程学报,2015,34(12):2474-2485.
WANG M, ZHU Zhe-ming, XIE Jun. Experimental and numerical studies of the mixed-mode I and II crack propagation under dynamic loading using SPHB[J]. Chinese Journal of Rock Mechanics and Engineering,2015, 34(12):2 474–2 485.
[24] Yang S, Tang TX, Zollinger D, et al. Splitting tension tests to determine concrete fracture parameters by peak-load method[J]. Advanced Cement Based Materials,1997,5(1):18-28.
[25]冯峰,韦重耕,王启智, 用中心直裂纹平台巴西圆盘测试岩石动态断裂韧度的尺寸效应[J].工程力学,2009,26(4):167-173.
FENG Feng,WEI Chong-geng,WANG Qi-zhi, Size effect for rock dynamic fracture toughness tested with cracked straight through flattened Brazilian disc[J]. Engineering Mechanics , 2009, 26 (4):
167-173.
[26] Aliha MRM, Ayatollahi MR. Rock fracture toughness study using cracked chevron notched Brazilian disc specimen under pure modes I and II loading - A statistical approach[J]. Theoretical and Applied Fracture Mechanics, 2014,69(2):17-25.
[27] Surendra KVN, Simha KRY. Analysis of cracked and un-cracked semicircular rings under symmetric loading[J]. Engineering Fracture Mechanics, 2014, 128: 69-90.
[28] Ouchterlony F. suggested methods for determining the fracture toughness of rock[J]. International Journal of Rock Mechanics and Mining Sciences, 1988,25(2):71-96.
[29] Chong KP, Kuruppu MD. New specimen for fracture toughness determination of rock and other materials[J]. International Journal of Fracture, 1984, 26(2):59-62.
[30] Ravi-Chandar K, Knauss W.G. An experimental investigation into dynamic fracture: I. Crack initiation and arrest[J]. International Journal of Fracture,1984, 25:247-262.
[31] Grégoire D, Maigre H, Combescure A. New experimental and numerical techniques to study the arrest and the restart of a crack under impact in transparent materials[J]. International Journal of Solids and Structures, 2009, 46(18/19): 3480-3491.
[32]杨井瑞,张财贵,周 妍,等. 用SCDC试样测试岩石动态断裂韧度的新方法[J]. 岩石力学与工程学报,2015,34(2) : 279 -292.
Yang JR, Zhang CG, Zhou Y, et al. A new method for determing dynamic fracture toughness of rock using SCDC specimens[J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34 (2): 279-292.
[33] Wang XM, Zhu ZM, Wang M, et al. Study of rock dynamic fracture toughness by using VB-SCSC specimens under medium-low speed impacts[J]. Engineering Fracture Mechanics, 2017,181: 52-64.
[34] Freund LB. Dynamic fracture mechanics[M], Cambridge: Cambridge University Press,1990.
[35] Ravi Chandar K. Dynamic fracture[M]. Elsevier, 2004.
[36] Bhat HS, Rosakis AJ, Sammis CG. A Micromechanics Based Constitutive Model for Brittle Failure at High Strain Rates[J]. Journal of Applied Mechanics, 2012,79(3): 39-37.
[37] Dong YQ, Zhu ZM, Zhou L, et al. Wang. Study of mode I crack dynamic propagation behaviour and rock dynamic fracture toughness by using SCT specimens[J], Fatigue & Fracture of Engineering Materials and Structures, 2018,41:1810–1822.
[38] Zhang QB, Zhao J. Effect of loading rate on fracture toughness and failure micro mechanisms in marble[J]. Engineering Fracture Mechanics, 2013,102(2):288-309.
[39] Chen R, Xia K, Dai F, et al. Determination of dynamic fracture parameters using a semi-circular bend technique in split Hopkinson pressure bar testing[J]. Engineering Fracture Mechanics, 2009,76(9):1268-1276.
[40] Zhou Z, Li X, Liu A, et al. Stress uniformity of split Hopkinson pressure bar under half-sine wave loads[J]. International Journal of Rock Mechanics and Mining Sciences, 2011,48(4):697-701.