| Citation: | Gao Fei, Wang Mingyang, Zhang Xianfeng, He Yong, Li Mengshen. A comment on the calculation models for reinforced concrete under intense dynamic loading[J]. Explosion And Shock Waves, 2017, 37(2): 365-376. doi: 10.11883/1001-1455(2017)02-0365-12 | 
	                | [1] | 
					 Fomin V M, Gulidov A I, Sapozhnikov G A, et al.High-speed interaction of solids[M].Novosibirsk:Sib.Otd.Ross.Akad.Nauk, 1999. 
						
					 | 
			
| [2] | 
					 Belov N N, Demidov V N, Efremova L V, et al.Computer modeling of the dynamics of high-velocity impact and accompanying physical phenomena[J].Russian Physics Journal, 1992, 35(8):690-723. doi:  10.1007/BF00568741 
						
					 | 
			
| [3] | 
					 Николаевского В Н.Высокоскоростные ударные явления[M].Москва:Мир, 1973. 
					
					 | 
			
| [4] | 
					 Григоряна С С.Динамика удара[M].Москва:Мир, 1985. 
					
					 | 
			
| [5] | 
					 Isaev A L.Effect of concrete reinforcement on the results of dynamic loading by penetrating bodies[C]//Proceedings of the 3th International Conference of Khariton Scientific Readings in Extremal State of Material Detonation Shock Waves.Sarov, Russia, 2002: 150-156 
						
					 | 
			
| [6] | 
					 Wilkins M L.Computational methods in fluid dynamics[M].Moscow:Mir, 1967:212-263. 
						
					 | 
			
| [7] | 
					 朱建士, 胡晓棉, 王裴, 等.爆炸与冲击动力学若干问题研究进展[J].力学进展, 2010, 40(4):400-423. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK201001612496 
					Zhu Jianshi, Hu Xiaomian, Wang Pei, et al.A review on research progress in explosion and mechanics and impact dynamics[J].Advances in Mechanics, 2010, 40(4):400-423. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK201001612496 
						
					 | 
			
| [8] | 
					 Holmquist T J, Johnson G R.A computational constitutive model for concrete subjected to large strains, high strain rates and high pressure[C]//Proceedings of the 14th International Symposium on Ballistics.Quebec, Canada, 1993: 591-600. https://www.researchgate.net/publication/241438121_A_Computational_Constitutive_Model_for_Glass_Subjected_to_Large_Strains_High_Strain_Rates_and_High_Pressures 
						
					 | 
			
| [9] | 
					 Herrmann W.Constitutive equation for the dynamic compaction of ductile porous materials[J].Journal of Applied Physics, 1969, 40(6):2490-2499. doi:  10.1063/1.1658021 
						
					 | 
			
| [10] | 
					 Tu Zhenguo, Lu Yong.Evaluation of typical concrete material models used in hydrocodes for high dynamic response simulations[J].International Journal of Impact Engineering, 2009, 36(1):132-146. doi:  10.1016/j.ijimpeng.2007.12.010 
						
					 | 
			
| [11] | 
					 Carroll M M, Holt A C.Static and dynamic porecollapse relations for ductile porous materials[J].Journal of Applied Physics, 1972, 43(4):1626-1636. doi:  10.1063/1.1661372 
						
					 | 
			
| [12] | 
					 Bhatt J J, Carroll M M, Schatz J F.A spherical model calculation for volumetric response of porous rocks[J].Journal of Applied Mechanics, 1975, 42(2):363-368. doi:  10.1115/1.3423582 
						
					 | 
			
| [13] | 
					 Belov N N, Dzyuba P V, Kabantsev O V, et al.Mathematical modeling of dynamic fracture processes in concrete[J].Mechanics of Solids, 2008, 43(2):269-276. doi:  10.3103/S0025654408020131 
						
					 | 
			
| [14] | 
					 Belov N N, Kabantsev O V, Konyaev A A, et al.Analysis of reinforced-concrete strength under impact loading[J].Journal of Applied Mechanics and Technical Physics, 2006, 47(6):911-917. doi:  10.1007/s10808-006-0132-y 
						
					 | 
			
| [15] | 
					 Belov N N, Yugov N T, Kopanitsa D G, et al.Calculation of the strength of reinforced concrete columns under repeated longitudinal impact[J].Journal of Applied Mechanics and Technical Physics, 2008, 49(1):148-155. doi:  10.1007/s10808-008-0022-6 
						
					 | 
			
| [16] | 
					 Lynn S, Donald R C, Donald A S.Computational models for ductile and brittle fracture[J].Journal of Applied Physics, 1976, 47(11):4814-4826. doi:  10.1063/1.322523 
						
					 | 
			
| [17] | 
					 Johnson J N.Dynamic fracture and spallation in ductile solids[J].Journal of Applied Physics, 1981, 52(4):2812-2825. doi:  10.1063/1.329011 
						
					 | 
			
| [18] | 
					 Afanas'eva S A, Belov N N, Yugov N T.The penetration of cylindrical strikes through obstacles made of concrete and sandy ground[J].Doklady Physics, 2002, 47(12):876-879. doi:  10.1134/1.1536220 
						
					 | 
			
| [19] | 
					 Belov N N, Demidov V N, Efremova L V, et al.Computer modeling of the dynamics of high-velocity impact and accompanying physical phenomena[J].Russian Physics Journal, 1992, 35(8):690-723. doi:  10.1007/BF00568741 
						
					 | 
			
| [20] | 
					 Afanas'eva S A, Belov N N, Kopanitsa D G, et al.Failure of concrete and reinforced-concrete plates under high-speed shock and explosion[J].Doklady Physics, 2005, 50(3):132-135. doi:  10.1134/1.1897986 
						
					 | 
			
| [21] | 
					 Belov N N, Yugov N T, Kopanitsa D G, et al.Stress analysis of concrete and reinforced-concrete slab structures under a high-velocity impact[J].Journal of Applied Mechanics and Technical Physics, 2005, 46(3):444-451. doi:  10.1007/s10808-005-0095-4 
						
					 | 
			
| [22] | 
					 王政, 倪玉山, 曹菊珍, 等.冲击载荷下混凝土动态力学性能研究进展[J].爆炸与冲击, 2005, 25(6):519-527. doi:  10.3321/j.issn:1001-1455.2005.06.007 
					Wang Zheng, Ni Yushan, Cao Juzhen, et al.Recent advances of dynamic mechanical behavior of concrete under impact loading[J].Explosion and Shock Waves, 2005, 25(6):519-527. doi:  10.3321/j.issn:1001-1455.2005.06.007 
						
					 | 
			
| [23] | 
					 陈书宇.一种混凝土损伤模型和数值方法[J].爆炸与冲击, 1998, 18(4):349-357. http://www.bzycj.cn/CN/abstract/abstract10428.shtml 
					Chen Shuyu.A concrete damage model and numerical methods[J].Explosion and Shock Waves, 1998, 18(4):349-357. http://www.bzycj.cn/CN/abstract/abstract10428.shtml 
						
					 | 
			
| [24] | 
					 过镇海, 王传志.多轴应力下混凝土的强度和破坏准则研究[J].土木工程学报, 1991, 24(3):1-14. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK000003121429 
					Guo Zhenhai, Wang Chuanzhi.Investigation of strength and failure criterion of concrete under multiaxial stresses[J].China Civil Engineering Journal, 1991, 24(3):1-14. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK000003121429 
						
					 | 
			
| [25] | 
					 胡时胜, 王道荣.冲击载荷下混凝土材料的动态本构关系[J].爆炸与冲击, 2002, 22(3):242-246. doi:  10.3321/j.issn:1001-1455.2002.03.009 
					Hu Shisheng, Wang Daorong.Dynamic constitutive relation of concrete under impact[J].Explosion and Shock Waves, 2002, 22(3):242-246. doi:  10.3321/j.issn:1001-1455.2002.03.009 
						
					 | 
			
| [26] | 
					 宋伟, 袁勇.单调轴向荷载下钢筋混凝土拉伸损伤本构研究[J].工程力学, 2005, 22(6):142-147. doi:  10.3969/j.issn.1000-4750.2005.06.024 
					Song Wei, Yuan Yong.Damaging constitutive law of reinforced concrete specimens under monotonic uniaxial tensile load[J].Engineering Mechanics, 2005, 22(6):142-147. doi:  10.3969/j.issn.1000-4750.2005.06.024 
						
					 | 
			
| [27] | 
					 商霖, 宁建国, 孙远翔.强冲击载荷作用下钢筋混凝土本构关系的研究[J].固体力学学报, 2005, 26(2):175-181. doi:  10.3969/j.issn.0254-7805.2005.02.009 
					Shang Lin, Ning Jianguo, Sun Yuanxiang.The constitutive relationship of reinforced concrete subjected to shock loading[J].Chinese Journal of Solid Mechanics, 2005, 26(2):175-181. doi:  10.3969/j.issn.0254-7805.2005.02.009 
						
					 | 
			
| [28] | 
					 路德春, 杜修力, 闫静茹, 等.混凝土材料三维弹塑性本构模型[J].中国科学:技术科学, 2014(8):288-291. http://d.old.wanfangdata.com.cn/Conference/7729570 
					Lu Dechun, Du Xiuli, Yan Jingru, et al.A three-dimensional elastoplastic constitutive model for concrete[J].Scientia Sinica Techologica, 2014(8):288-291. http://d.old.wanfangdata.com.cn/Conference/7729570 
						
					 | 
			
| [29] | 
					 Grady D E, Kipp M E.Continuum modeling of explosive fracture in oil shale[J].International Journal of Rock Mechanics and Mining Science, 1980, 17(6):147-157. http://www.sciencedirect.com/science/article/pii/0148906280913613 
						
					 | 
			
| [30] | 
					 Forrestal M J, Luk V K, Watts H A.Penetration of reinforced concrete with ogive-nose penetrators[J].International Journal of Solids and Structures, 1988, 24(1):77-87. doi:  10.1016/0020-7683(88)90100-X 
						
					 | 
			
| [31] | 
					 王政, 倪玉山, 曹菊珍, 等.冲击载荷下混凝土本构模型构建研究[J].高压物理学报, 2006, 26(4):337-344. doi:  10.3969/j.issn.1000-5773.2006.04.001 
					Wang Zheng, Ni Yushan, Cao Juzhen, et al.Building of a constitutive model for concrete under dynamic impact[J].Chinese Journal of High Pressure Physics, 2006, 26(4):337-344. doi:  10.3969/j.issn.1000-5773.2006.04.001 
						
					 | 
			
| [32] | 
					 Heider N, Hiermaier S.Numerical simulation of tandem warheads[C]//Proceedings of the 19th International Symposium on Ballistics.Interlaken, Switzerland: IBS 2001 Symposium Office, 2001: 1493-1499. 
						
					 | 
			
| [33] | 
					 Malvar L J, Crawford J E, Wesevich J W, et al.A plasticity concrete material model for DYNA3D[J].International Journal of Impact Engineering, 1997, 19(9):847-873. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=CC025950745 
						
					 | 
			
| [34] | 
					 Polanco-loria M, Hopperstad O S, Brvik T, et al.Numerical predictions of ballistic limits for concrete slabs using a modified version of the HJC concrete model[J].International Journal of Impact Engineering, 2008, 35(5):290-303. doi:  10.1016/j.ijimpeng.2007.03.001 
						
					 | 
			
| [35] | 
					 Taylor L M, Chen E P, Kuszmaul J S.Microcrack-induced damage accumulation in brittle rock under dynamic loading[J].Journal of Computer Methods in Applied Mechanics and Engineering, 1986, 55(3):301-320. doi:  10.1016/0045-7825(86)90057-5 
						
					 | 
			
| [36] | 
					 王丽颖, 蒋建伟, 门建兵.混凝土穿孔过程的数值模拟[C]//计算爆炸力学理论、方法及工程应用暨第二届全国计算爆炸力学会议录.北京理工大学出版社, 2002: 228-234. 
					
					 | 
			
| [37] | 
					 武海军, 黄风雷, 金乾坤, 等.弹体贯穿钢筋混凝土数值模拟[J].爆炸与冲击, 2003, 23(6):545-550. doi:  10.3321/j.issn:1001-1455.2003.06.011 
					Wu Haijun, Huang Fenglei, Jin Qiankun, et al.Numerical simulation on perforation of reinforced concrete targets[J].Explosion and Shock Waves, 2003, 23(6):545-550. doi:  10.3321/j.issn:1001-1455.2003.06.011 
						
					 | 
			
| [38] | 
					 金乾坤.混凝土动态损伤与失效模型[J].兵工学报, 2006, 27(1):10-14. http://d.old.wanfangdata.com.cn/Periodical/bgxb200601003 
					Jin Qiankun.Dynamic damage and failure model for concrete materials[J].Acta Armamentarii, 2006, 27(1):10-14. http://d.old.wanfangdata.com.cn/Periodical/bgxb200601003 
						
					 | 
			
| [39] | 
					 马爱娥, 黄风雷, 初哲, 等.弹体攻角侵彻混凝土数值模拟[J].爆炸与冲击, 2008, 28(1):33-37. doi:  10.3321/j.issn:1001-1455.2008.01.006 
					Ma Aie, Huang Fenglei, Chu Zhe, et al.Numerical simulation on yawed penetration into concrete[J].Explosion and Shock Waves, 2008, 28(1):33-37. doi:  10.3321/j.issn:1001-1455.2008.01.006 
						
					 | 
			
| [40] | 
					 魏强, 蒋建伟, 黄西成, 等.混凝土损伤组合模型[J].固体力学学报, 2011, 32(S1):416-421. http://d.old.wanfangdata.com.cn/Conference/7589581 
					Wei Qiang, Jiang Jianwei, Huang Xicheng, et al.Combined damage model of concrete[J].Chinese Journal of Solid Mechanics, 2011, 32(S1):416-421. http://d.old.wanfangdata.com.cn/Conference/7589581 
						
					 | 
			
| [41] | 
					 魏强, 黄西成, 颜怡霞, 等.混凝土动态损伤模型[C]//第十届全国冲击动力学学术会议论文集, 2011, 1-7. http://cpfd.cnki.com.cn/Article/CPFDTOTAL-AGLU201107002130.htm 
					
					 | 
			
| [42] | 
					 钱七虎, 王明洋.高等防护结构计算理论[M].南京:江苏科学技术出版社, 2009. 
					
					 | 
			
| [43] | 
					 Li Q M, Chen X W.Dimensionless formulae for penetration depth of concrete target impacted by a non-deformable projectile[J].International Journal of Impact Engineering, 2003, 28(1):93-116. doi:  10.1016/S0734-743X(02)00037-4 
						
					 | 
			
| [44] | 
					 Li Q M, Reid S R, Wen H M, et al.Local impact effects of hard missiles on concrete targets[J].International Journal of Impact Engineering, 2005, 32(1):224-284. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=f836952d7e21bc3f5f0eb712e6968392 
						
					 | 
			
| [45] | 
					 Jankowiak T, Lodygowski T.Handbook of damage mechanics[M].New York:Springer Press, 2014. 
						
					 | 
			
| [46] | 
					 Belov N N, Yugov N T, Afanas'eva S A, et al.Mathematical modeling of deformation and fracture for bony tissues in the case of high-speed impact[J].Doklady Physics, 2011, 56(3):190-193. doi:  10.1134/S1028335811030104 
						
					 | 
			
| [47] | 
					 Belov N N, Yugov N T, Afanas'eva S A, et al.Strength of a reinforced-concrete commercial object on high-velocity impact with a model projectile[J].Journal of Engineering Physics and Thermophysics, 2014, 87(2):420-426. doi:  10.1007/s10891-014-1028-y 
						
					 |