强动载荷下钢筋混凝土结构计算模型简评

高飞; 王明洋; 张先锋; 何勇; 李猛深

doi:10.11883/1001-1455(2017)02-0365-12

强动载荷下钢筋混凝土结构计算模型简评

doi: 10.11883/1001-1455(2017)02-0365-12

高飞¹,
王明洋^{1, 2, ,},
张先锋¹,
何勇¹,
李猛深²

1.
南京理工大学智能弹药技术国防重点学科实验室, 江苏南京 210094
2.
解放军理工大学爆炸冲击防灾减灾国家重点实验室, 江苏南京 210007

基金项目:

国家自然科学基金项目 51508568

国家重点实验室开放基金资助项目 DPMEIKF201405

江苏省重点实验室开放基金项目 3092014012200401

详细信息

作者简介:
高飞(1990—)，男，博士研究生

通讯作者:
王明洋，wmyrf@163.com

中图分类号: O385
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- 被引次数: 1
出版历程
- 收稿日期: 2015-05-20
- 修回日期: 2015-09-18
- 刊出日期: 2017-03-25

A comment on the calculation models for reinforced concrete under intense dynamic loading

1.
Ministerial Key Laboratory of ZNDY, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
2.
State Key Laboratory for Disaster Prevention & Mitigation of Explosion & Impact, PLA University of Science and Technology, Nanjing 210007, Jiangsu, China

摘要

摘要: 针对侵彻、爆炸等强动载作用下混凝土类结构计算中涉及的状态方程、变形破坏弹塑性本构关系与强度准则等关键问题，根据混凝土多组分特征，简述考虑介质中孔隙压缩的状态模型及弹塑性变形破坏中动态损伤演化模型，并在计算实验方法的基础上，给出需要进一步研究的建议。
- 本构模型 /
- 孔隙演化 /
- 钢筋混凝土 /
- 强动载
Abstract: Based on several key issues of the elastic-plastic constitutive model, the equation of state and strength criterion, and the calculation of the strength of concrete under blast and impact loading were reviewed. Concrete being viewed as a binary material composed of matrix and pores, a model including the pore compaction and dynamic damage evolution in elastic-plastic deformation and failure were introduced. On the basis of a mathematical-experimental method, some conclusions and proposals for further reseach were made at the end of the paper.
- constitutive model /
- porosity evolution /
- reinforced concrete /
- intense dynamic loading

HTML全文

图 1 混凝土的孔隙演化等效模型

Figure 1. A spherical model of porous concrete

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图 2 初始孔隙率为α₀时材料的压力曲线

Figure 2. Compression path in material with initial distention α₀

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图 3 钢筋混凝土结构示意图^[20-21]

Figure 3. Sketch of reinforced concrete^[20-21]

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图 4 钢弹以370 m/s速度冲击混凝土板实验与数值模拟结果^[13]

Figure 4. Interaction between a model projectile and concrete plates at initial impact velocity of 370 m/s^[13]

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图 5 弹体在混凝土靶中侵深与初速之间的关系^[14]

Figure 5. Relation between the penetration depth and the initial impact velocity^[14]

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图 6 平头弹穿透靶的数值模拟^[20]

Figure 6. Simulation of the penetration process^[20]

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图 7 模型弹侵彻钢筋/混凝土间隔靶背面视图^[47]

Figure 7. Rear view of steel-concrete plates after the impact with a projectile^[47]

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图 8 模型弹对钢筋/混凝土间隔靶侵彻过程^[47]

Figure 8. Interaction between a model projectile and steel-reinforced plates^[47]

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表 1 不同时刻靶中P/d比较^[20]

Table 1. Comparison of P/d at different times^[20]

t	P/d
t	钢筋混凝土靶	混凝土靶
0.2	0.17	0.17
0.5	0.39	0.42
1.8	1.16	1.25
3.5	1.84	1.98
4.3	-	2.30
4.5	2.14	-
5.2	2.34	-

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参考文献(47)

[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