Volume 43 Issue 5
May  2023
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SONG Shuai, DU Chuang, LI Yanyan. Determination and application of the HJC constitutive model parameters for ultra-high performance concrete[J]. Explosion And Shock Waves, 2023, 43(5): 053102. doi: 10.11883/bzycj-2022-0343
Citation: SONG Shuai, DU Chuang, LI Yanyan. Determination and application of the HJC constitutive model parameters for ultra-high performance concrete[J]. Explosion And Shock Waves, 2023, 43(5): 053102. doi: 10.11883/bzycj-2022-0343

Determination and application of the HJC constitutive model parameters for ultra-high performance concrete

doi: 10.11883/bzycj-2022-0343
  • Received Date: 2022-08-08
  • Rev Recd Date: 2022-11-10
  • Available Online: 2022-11-18
  • Publish Date: 2023-05-05
  • The parameters of the Holmquist-Johnson-Cook (HJC) constitutive model for ultra-high performance concrete (UHPC) were determined based on uniaxial compression test, split Hopkinson pressure bar (SHPB) test and existing tri-axial compression test and so on, in order to improve the calculation accuracy and design reliability. In the determination process of parameters, the parameters of the HJC constitutive model were divided into five categories. The yield-surface parameters were determined by the static failure surface equation, the parameters of state equation were determined by the p-μ relation, the damage parameters were determined according to relevant literature, the basic physical parameters were determined according to the test, and so on. LS_DYNA was used to simulate the explosion test of the one-way slab. Firstly, the finite element model of the one-way slab was established. The HJC constitutive model was used for the UHPC, and the linear reinforcement model was used for the reinforcement material. The reinforcement and UHPC were connected by common joints. The air and explosive models were established, and the fluid-solid coupling method was used for calculation. The effectiveness of the determined parameters was verified by comparing the simulation results with the damage degree and the maximum deflection of the one-way slab in the test. In order to further understand the anti-blast mechanism of the UHPC members, the determined parameters were used to conduct numerical simulation on the one-way slab explosion condition, and the influences of reinforcement and size effect on the explosion result were analyzed. Results show that during the explosion process, the maximum mid-span deflection of the one-way slab can be reduced by increasing the longitudinal reinforcement ratio, and the length of oblique cracks on the side of the one-way slab can be reduced by properly encrypted stirrups. The UHPC one-way slab has an obvious size effect, and the variation of its thickness and length has the greatest influence on the explosion result.
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  • [1]
    LI J, WU C Q, HAO H. An experimental and numerical study of reinforced ultra-high performance concrete slabs under blast loads [J]. Materials and Design, 2015, 82: 64–76. DOI: 10.1016/j.matdes.2015.05.045.
    [2]
    WANG Y Z, WANG Y B, ZHAO Y Z, et al. Experimental study on ultra-high performance concrete under triaxial compression [J]. Construction and Building Materials, 2020, 263: 120225. DOI: 10.1016/j.conbuildmat.2020.120225.
    [3]
    LI J, WU C Q, HAO H, et al. Experimental investigation of ultra-high performance concrete slabs under contact explosions [J]. International Journal of Impact Engineering, 2016, 93: 62–75. DOI: 10.1016/j.ijimpeng.2016.02.007.
    [4]
    杜忠, 胡福. 高延性混凝土(HDC)在抗爆间室中的防护效果评估 [J]. 工程建设与设计, 2019(22): 9–10. DOI: 10.13616/j.cnki.gcjsysj.2019.11.204.

    DU Z, HU F. Evaluation of the protective effect of high-ductility concrete (HDC) in anti-explosion chamber [J]. Construction and Design for Engineering, 2019(22): 9–10. DOI: 10.13616/j.cnki.gcjsysj.2019.11.204.
    [5]
    辛健. 爆炸作用下RHT模型参数敏感性分析 [J]. 舰船电子工程, 2019, 39(4): 111–113, 122. DOI: 10.3969/j.issn.1672-9730.2019.04.024.

    XIN J. Sensitivity analysis of RHT model parameters under explosive attack [J]. Ship Electronic Engineering, 2019, 39(4): 111–113, 122. DOI: 10.3969/j.issn.1672-9730.2019.04.024.
    [6]
    RIEDEL W, THOMA K, HIERMAIER S, et al. Penetration of reinforced concrete by BETA-B-500 numerical analysis using a new macroscopic concrete model for hydrocodes [C] // Proceeding of the 9th International Symposium, Interaction of the Effects of Munitions with Structures. Berlin: ISIEMS, 1999: 315–322.
    [7]
    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(9/10): 847–873. DOI: 10.1016/S0734-743X(97)00023-7.
    [8]
    HOLMQUIST T J, JOHNSON G R, COOK W H. A computational constitutive model for concrete subjected to large strains, high strain rates and high pressures [C] // 14th International Symposium on Ballistics. Quebec: American Defense Preparedness Association, 1993: 591–600.
    [9]
    杜闯, 宋帅, 张江鹏. 爆炸冲击作用下三种混凝土本构模型对比研究 [J]. 兵器装备工程学报, 2022, 43(11): 49–56. DOI: 10.11809/bqzbgcxb2022.11.007.

    DU C, SONG S, ZHANG J P. Comparative study on three concrete constitutive models under blast loading [J]. Journal of Ordnance Equipment Engineering, 2022, 43(11): 49–56. DOI: 10.11809/bqzbgcxb2022.11.007.
    [10]
    张凤国, 李恩征. 混凝土撞击损伤模型参数的确定方法 [J]. 弹道学报, 2001, 13(4): 12–16, 23. DOI: 10.3969/j.issn.1004-499X.2001.04.003.

    ZHANG F G, LI E Z. A method to determine the parameters of the model for concrete impact and damage [J]. Journal of Ballistics, 2001, 13(4): 12–16, 23. DOI: 10.3969/j.issn.1004-499X.2001.04.003.
    [11]
    韩莉, 吴萍. 动荷载作用下混凝土HJC本构模型 [J]. 绿色环保建材, 2018(11): 3–4. DOI: 10.16767/j.cnki.10-1213/tu.2018.11.002.
    [12]
    LIU Y, HUANG F L, MA A E. Numerical simulations of oblique penetration into reinforced concrete targets [J]. Computers and Mathematics with Applications, 2011, 61(8): 2168–2171. DOI: 10.1016/j.camwa.2010.09.006.
    [13]
    张志刚, 李姝雅, 瘳红建. 爆炸荷载下碳纤维布加固混凝土板的抗弯性能研究 [J]. 应用力学学报, 2008, 25(1): 150–153.

    ZHANG Z G, LI S Y, LIAO H J. Flexural resistance of concrete plate strengthened with CFRP under explosive loading [J]. Chinese Journal of Applied Mechanics, 2008, 25(1): 150–153.
    [14]
    张志华, 刘磊, 王亚, 等. 混凝土爆破试验及数值模拟 [J]. 矿冶, 2018, 27(6): 34–37. DOI: 10.3969/j.issn.1005-7854.2018.06.008.

    ZHANG Z H, LIU L, WANG Y, et al. Blasting experiment and numerical simulation of concrete [J]. Mining and Metallurgy, 2018, 27(6): 34–37. DOI: 10.3969/j.issn.1005-7854.2018.06.008.
    [15]
    任根茂, 吴昊, 方秦, 等. 普通混凝土HJC本构模型参数确定 [J]. 振动与冲击, 2016, 35(18): 9–16. DOI: 10.13465/j.cnki.jvs.2016.18.002.

    REN G M, WU H, FANG Q, et al. Determinations of HJC constitutive model parameters for normal strength concrete [J]. Journal of Vibration and Shock, 2016, 35(18): 9–16. DOI: 10.13465/j.cnki.jvs.2016.18.002.
    [16]
    陈睿, 刘杰, 韩旭, 等. 混凝土材料动态本构参数的分阶段计算反求技术 [J]. 爆炸与冲击, 2014, 34(3): 315–321. DOI: 10.11883/1001-1455(2014)03-0315-07.

    CHEN R, LIU J, HAN X, et al. A multi-stage computational inverse technique for identification of the dynamic constitutive parameters of concrete [J]. Explosion and Shock Waves, 2014, 34(3): 315–321. DOI: 10.11883/1001-1455(2014)03-0315-07.
    [17]
    张社荣, 宋冉, 王超, 等. 碾压混凝土HJC动态本构模型修正及数值验证 [J]. 振动与冲击, 2019, 38(12): 25–31. DOI: 10.13465/j.cnki.jvs.2019.12.004.

    ZHANG S R, SONG R, WANG C, et al. Modification of a dynamic constitutive model—HJC model for roller-compacted concrete and numerical verification [J]. Journal of Vibration and Shock, 2019, 38(12): 25–31. DOI: 10.13465/j.cnki.jvs.2019.12.004.
    [18]
    熊益波, 陈剑杰, 胡永乐, 等. 混凝土Johnson-Holmquist本构模型关键参数研究 [J]. 工程力学, 2012, 29(1): 121–127.

    XIONG Y B, CHEN J J, HU Y L, et al. Study on the key parameters of the Johnson-Holmquist constitutive model for concrete [J]. Engineering Mechanics, 2012, 29(1): 121–127.
    [19]
    李鹏. 钢管混凝土柱爆炸作用下试验及动态本构模型研究 [D]. 广州: 广州大学, 2016: 64–71.

    LI P. Test and dynamic constitutive model study of CFST column under blast load [D]. Guangzhou, Guangdong, China: Guangzhou University, 2016: 64–71.
    [20]
    张若棋, 丁育青, 汤文辉, 等. 混凝土HJC、RHT本构模型的失效强度参数 [J]. 高压物理学报, 2011, 25(1): 15–22. DOI: 10.11858/gywlxb.2011.01.003.

    ZHANG R Q, DING Y Q, TANG W H, et al. The failure strength parameters of HJC and RHT concrete constitutive models [J]. Chinese Journal of High Pressure Physics, 2011, 25(1): 15–22. DOI: 10.11858/gywlxb.2011.01.003.
    [21]
    DU Y X, WEI J, LIU K, et al. Research on dynamic constitutive model of ultra-high performance fiber-reinforced concrete [J]. Construction and Building Materials, 2020, 234: 117386. DOI: 10.1016/j.conbuildmat.2019.117386.
    [22]
    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. DOI: 10.15951/j.tmgcxb.1991.03.001.

    GUO Z H, WANG C Z. Investigation of strength and failure criterion of concrete under multi-axial stresses [J]. China Civil Engineering Journal, 1991, 24(3): 1–14. DOI: 10.15951/j.tmgcxb.1991.03.001.
    [23]
    仵鹏涛. 三向应力状态下超高性能混凝土材料静态力学性能研究 [D]. 天津: 天津大学, 2019: 40–44. DOI: 10.27356/d.cnki.gtjdu.2019.004796.

    WU P T. Study of static mechanical properties of ultra-high performance concrete under triaxial stress states [D]. Tianjin, China: Tianjin University, 2019: 40–44. DOI: 10.27356/d.cnki.gtjdu.2019.004796.
    [24]
    薛文. 落锤冲击作用下RC梁的动力响应研究 [D]. 武汉: 华中科技大学, 2016: 42–54.

    XUE W. Study on dynamic response of RC beams under drop hammer impact [D]. Wuhan, Hubei, China: Huazhong University of Science and Technology, 2016: 42–54.
    [25]
    王志亮, 毕程程, 李鸿儒. 混凝土爆破损伤的SPH-FEM耦合法数值模拟 [J]. 爆炸与冲击, 2018, 38(6): 1419–1428. DOI: 10.11883/bzycj-2017-0209.

    WANG Z L, BI C C, LI H R. Numerical simulation of blasting damage in concrete using a coupled SPH-FEM algorithm [J]. Explosion and Shock Waves, 2018, 38(6): 1419–1428. DOI: 10.11883/bzycj-2017-0209.
    [26]
    陈星明, 刘彤, 肖正学. 混凝土HJC模型抗侵彻参数敏感性数值模拟研究 [J]. 高压物理学报, 2012, 26(3): 313–318. DOI: 10.11858/gywlxb.2012.03.011.

    CHEN X M, LIU T, XIAO Z X. Numerical simulation study of parameter sensitivity analysis on concrete HJC model [J]. Chinese Journal of High Pressure Physics, 2012, 26(3): 313–318. DOI: 10.11858/gywlxb.2012.03.011.
    [27]
    汪衡, 董静, 顾振中, 等. HJC模型参数对侵彻效应影响度的数值研究 [J]. 兵器装备工程学报, 2020, 41(3): 200–204. DOI: 10.11809/bqzbgcxb2020.03.040.

    WANG H, DONG J, GU Z Z, et al. Numerical study on the effect of HJC model parameters on penetration [J]. Journal of Ordnance Equipment Engineering, 2020, 41(3): 200–204. DOI: 10.11809/bqzbgcxb2020.03.040.
    [28]
    胡志豪. 超高性能混凝土的气体渗透性能研究 [D]. 长沙: 湖南大学, 2021: 49–51. DOI: 10.27135/d.cnki.ghudu.2021.001461.

    HU Z H. Experimental study on gas permeability of ultra-high performance concrete [D]. Changsha, Hunan, China: Hunan University, 2021: 49–51. DOI: 10.27135/d.cnki.ghudu.2021.001461.
    [29]
    王政. 弹靶侵彻动态响应的理论与数值分析 [D]. 上海: 复旦大学, 2005: 39–40.
    [30]
    BEISSEL S R, JOHNSON G R. An abrasion algorithm for projectile mass loss during penetration [J]. International Journal of Impact Engineering, 2000, 24(2): 103–116. DOI: 10.1016/S0734-743X(99)00146-3.
    [31]
    严少华, 钱七虎, 周早生, 等. 高强混凝土及钢纤维高强混凝土高压状态方程的实验研究 [J]. 解放军理工大学学报, 2000, 1(6): 49–53. DOI: 10.7666/j.issn.1009-3443.20000610.

    YAN S H, QIAN Q H, ZHOU Z S, et al. Experimental study of equation of state for high-strength concrete and high-strength fiber concrete [J]. Journal of PLA University of Science and Technology, 2000, 1(6): 49–53. DOI: 10.7666/j.issn.1009-3443.20000610.
    [32]
    孙玉祥, 王杰, 武海军, 等. 混凝土高压状态方程实验与数值模拟研究 [J]. 爆炸与冲击, 2020, 40(12): 121401. DOI: 10.11883/bzycj-2020-0002.

    SUN Y X, WANG J, WU H J, et al. Experiment and simulation on high-pressure equation of state for concrete [J]. Explosion and Shock Waves, 2020, 40(12): 121401. DOI: 10.11883/bzycj-2020-0002.
    [33]
    高乐. 活性粉末混凝土高压状态方程研究 [D]. 广州: 广州大学, 2011: 51–53.

    GAO L. Research on high pressure equation of RPC [D]. Guangzhou, Guangdong, China: Guangzhou University, 2011: 51–53.
    [34]
    唐鸽, 江少恩, 巫顺超, 等. 用Hugoniot数据计算高压状态方程 [J]. 强激光与粒子束, 2009, 21(11): 1737–1740.

    TANG G, JIANG S E, WU S C, et al. Deducing equation of state under high pressure from Hugoniot data [J]. High Power Laser and Particle Beams, 2009, 21(11): 1737–1740.
    [35]
    蒋国平, 焦楚杰, 肖波齐. 高强混凝土气体炮试验与高压状态方程研究 [J]. 物理学报, 2012, 61(2): 026701. DOI: 10.7498/aps.61.026701.

    JIANG G P, JIAO C J, XIAO B Q. High-pressure state equation of high strength concrete investigated with the gas gun experiment [J]. Acta Physica Sinica, 2012, 61(2): 026701. DOI: 10.7498/aps.61.026701.
    [36]
    孙其然, 李芮宇, 赵亚运, 等. HJC模型模拟钢筋混凝土侵彻实验的参数研究 [J]. 工程力学, 2016, 33(8): 248–256. DOI: 10.6052/j.issn.1000-4750.2014.12.1094.

    SUN Q R, LI R Y, ZHAO Y Y, et al. Investigation on parameters of HJC model applied to simulate perforation experiments of reinforced concrete [J]. Engineering Mechanics, 2016, 33(8): 248–256. DOI: 10.6052/j.issn.1000-4750.2014.12.1094.
    [37]
    林琛, 徐建军, 杨晋伟, 等. 基于HJC模型的钢筋混凝土侵彻仿真失效准则与参数 [J]. 探测与控制学报, 2017, 39(2): 100–105.

    LIN C, XU J J, YANG J W, et al. The failure criterions and parameters of HJC model based perforation simulation [J]. Journal of Detection and Control, 2017, 39(2): 100–105.
    [38]
    石少卿, 康建功, 汪敏, 等. ANSYS/LS-DYNA在爆炸与冲击领域内的工程应用 [M]. 北京: 中国建筑工业出版社, 2011.
    [39]
    汪维, 张舵, 卢芳云, 等. 方形钢筋混凝土板的近场抗爆性能 [J]. 爆炸与冲击, 2012, 32(3): 251–258. DOI: 10.11883/1001-1455(2012)03-0251-08.

    WANG W, ZHANG D, LU F Y, et al. Anti-explosion performances of square reinforced concrete slabs under close-in explosions [J]. Explosion and Shock Waves, 2012, 32(3): 251–258. DOI: 10.11883/1001-1455(2012)03-0251-08.
    [40]
    LIN X S. Numerical simulation of blast responses of ultra-high performance fibre reinforced concrete panels with strain-rate effect [J]. Construction and Building Materials, 2018, 176: 371–382. DOI: 10.1016/j.conbuildmat.2018.05.066.
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