钢纤维混凝土板在冲击与爆炸荷载下的K&C模型

尹华伟 蒋轲 张料 黄亮 王陈凌

尹华伟, 蒋轲, 张料, 黄亮, 王陈凌. 钢纤维混凝土板在冲击与爆炸荷载下的K&C模型[J]. 高压物理学报, 2020, 34(3): 034205. doi: 10.11858/gywlxb.20190853
引用本文: 尹华伟, 蒋轲, 张料, 黄亮, 王陈凌. 钢纤维混凝土板在冲击与爆炸荷载下的K&C模型[J]. 高压物理学报, 2020, 34(3): 034205. doi: 10.11858/gywlxb.20190853
YIN Huawei, JIANG Ke, ZHANG Liao, HUANG Liang, WANG Chenling. K&C Model of Steel Fiber Reinforced Concrete Plate under Impact and Blast Load[J]. Chinese Journal of High Pressure Physics, 2020, 34(3): 034205. doi: 10.11858/gywlxb.20190853
Citation: YIN Huawei, JIANG Ke, ZHANG Liao, HUANG Liang, WANG Chenling. K&C Model of Steel Fiber Reinforced Concrete Plate under Impact and Blast Load[J]. Chinese Journal of High Pressure Physics, 2020, 34(3): 034205. doi: 10.11858/gywlxb.20190853

钢纤维混凝土板在冲击与爆炸荷载下的K&C模型

doi: 10.11858/gywlxb.20190853
基金项目: 国家重点研发计划(2016YFC0701405)
详细信息
    作者简介:

    尹华伟(1972-),男,博士,副教授,主要从事爆炸与冲击动力学研究. E-mail: yhwzzy@163.com

  • 中图分类号: O347.3; TU375

K&C Model of Steel Fiber Reinforced Concrete Plate under Impact and Blast Load

  • 摘要: 钢纤维混凝土(Steel fiber reinforced concrete,SFRC)具有优异的延性、韧性及能量吸收能力,被广泛应用于各类防护结构。K&C模型已成为研究普通混凝土构件动力响应的常用材料模型,但仍无法准确表征SFRC的动力特性。为了提高K&C模型在冲击及爆炸荷载作用下预测SFRC板动力响应的能力,对K&C模型进行了改进:基于大量三轴压缩实验数据,建立了新的失效强度面参数模型;采用反复试验法,建立了新的损伤演化模型,并校准了拉、压损伤参数;基于大量高应变率下SFRC的单轴压缩实验数据,建立了新的受压动力增强因子模型。通过LS-DYNA显式有限元动力分析软件模拟了SFRC板的动力响应,模拟结果验证了上述改进的有效性与可靠性。

     

  • 图  钢纤维体积分数不同时的三轴压缩数据以及式(2)、式(5)的预测值

    Figure  1.  Triaxial compression data of different fiber contents as well as predictions from Eq.(2) and Eq.(5)

    图  改进的失效强度面

    Figure  2.  Modified failure strength surface

    图  损伤演化函数η(λ)的比较

    Figure  3.  Comparisons of damage evolution function η(λ)

    图  单轴压缩试验的应力-应变曲线与K&C模型的预测结果比较

    Figure  4.  Comparisons of experiment at stress-strain curve of UUC test and prediction of K&C models

    图  单轴拉伸试验的应力-应变曲线与K&C模型的预测结果比较

    Figure  5.  Comparisons of experiment at stress-strain curve of UUT test and prediction of K&C models

    图  不同模型得到的CDIF值与实验数据的比较

    Figure  6.  Comparisons of CDIF values obtained from different models and experiments

    图  新模型得到的CDIF值与实验数据的比较

    Figure  7.  Comparisons of CDIF values obtained from new models and experiments

    图  不同模型得到的TDIF比较

    Figure  8.  Comparisons of TDIF values obtained from different models

    图  SFRC靶板在平头弹丸冲击下的有限元模型

    Figure  9.  Finite element model of flat-ended projectile impacting SFRC plate

    图  10  不同撞击速度下SFRC板破坏模式的实验结果[1]与数值模拟结果对比

    Figure  10.  Comparison of the damage patterns of SFRC plate from experimental results[1] and numerical simulation under different impact velocities

    图  11  SFRC板在爆炸荷载作用下的有限元模型

    Figure  11.  Finite element model of SFRC plate under blast load

    图  12  不同纤维体积分数时SFRC板挠曲破坏模式的实验结果[2]与数值预测对比

    Figure  12.  Comparisons of the damage patterns of SFRC plate from simulation predictions and experimental results[2] under different fiber volume fractions

    表  1  改进的钢纤维混凝土K&C模型参数

    Table  1.   Parameters of the modified K&C model of SFRC

    Strength surface
    a0/MPa a1 a2/MPa−1 a0y/MPa a1y a2y/MPa−1 a1f a2f/MPa−1
    64.0 0.481 5.82×10−4 45.93 0.726 1.77×10−3 0.476 8.56×10−4
    Damage Others
    b1 b2 b3 α αc αd λm Lw/mm fc/MPa ft/MPa ρ/(kg·m−3) ν ω
    0.75 −1.50 1.15 3.00 0.381 1.90 9.5×10−5 24 175.3 13.8 2 600 0.19 0.5
    下载: 导出CSV

    表  2  平头弹丸的材料参数

    Table  2.   Materials parameters of the flat ended projectile

    ρ/(g·cm−3)G/GPaA/MPaB/MPaNCMTm/KTR/K
    7.832107925100.260.0141.031 793294
    ε/(μs−1)cp/(J·kg−1·K−1SPALLITD1D2D3D4D5
    1.0 × 10−44.77 × 10−53.00.04.000.000.000.000.00
    下载: 导出CSV

    表  3  实验数据与数值模拟结痂弹坑直径比较

    Table  3.   Comparisons of experimental data and numerical simulation of the scabbed crater diameter

    Projectile velocity/(m·s−1)Scabbed crater diameter/mmModel error/%
    ExperimentOriginal K&CModified K&COriginal K&CModified K&C
    58.2120.5132106 9.512.0
    76.0119.214812424.2 4.0
    104.0120.3 2812876.7 6.4
    下载: 导出CSV
  • [1] TAI Y S. Flat ended projectile penetrating ultra-high strength concrete plate target [J]. Theoretical and Applied Fracture Mechanics, 2009, 51(2): 117–128. doi: 10.1016/j.tafmec.2009.04.005
    [2] LUCCIONI B, ISLA F, CODINA R, et al. Effect of steel fibers on static and blast response of high strength concrete [J]. International Journal of Impact Engineering, 2017, 107(1): 23–27.
    [3] 宋玉普, 赵国藩, 彭放, 等. 三向应力状态下钢纤维混凝土的强度特性及破坏准则 [J]. 土木工程学报, 1994, 27(3): 14–23.

    SONG Y P, ZHAO G F, PENG F, et al. Strength behavior and failure criteria of steel fiber concrete under triaxial stresses [J]. China Civil Engineering Journal, 1994, 27(3): 14–23.
    [4] 王乾峰, 彭刚, 戚永乐. 围压条件下钢纤维混凝土动态压缩试验研究 [J]. 混凝土, 2009(3): 29–31. doi: 10.3969/j.issn.1002-3550.2009.03.009

    WANG Q F, PENG G, QI Y L. Dynamical press test of SFRC under confined pressure [J]. Concrete, 2009(3): 29–31. doi: 10.3969/j.issn.1002-3550.2009.03.009
    [5] 王志亮, 诸斌. 钢纤维混凝土三轴压缩下的强度和韧度特性 [J]. 建筑材料学报, 2012, 15(3): 301–305. doi: 10.3969/j.issn.1007-9629.2012.03.002

    WANG Z L, ZHU B. Strength and toughness characteristic of steel fiber reinforced concrete in triaxial compression [J]. Journal of Building Materials, 2012, 15(3): 301–305. doi: 10.3969/j.issn.1007-9629.2012.03.002
    [6] CHI Y, XU L H, MEI G D, et al. A unified failure envelope for hybrid fibre reinforced concrete subjected to true triaxial compression [J]. Composite Structures, 2014, 109: 31–40. doi: 10.1016/j.compstruct.2013.10.054
    [7] SIRIJAROONCHAR K, EL-TAWIL S, PARRA-MONTESINOS G. Behavior of high performance fiber reinforced cement composites under multi-axial compressive loading [J]. Cement and Concrete Composites, 2010, 32(1): 62–72. doi: 10.1016/j.cemconcomp.2009.09.003
    [8] LU X, HSU C T T. Behavior of high strength concrete with and without steel fiber reinforcement in triaxial compression [J]. Cement and Concrete Research, 2006, 36(9): 1679–1685. doi: 10.1016/j.cemconres.2006.05.021
    [9] FARNAM Y, MOOSAVI M, SHEKARCHI M, et al. Behaviour of slurry infiltrated fibre concrete (SIFCON) under triaxial compression [J]. Cement and Concrete Research, 2010, 40(11): 1571–1581. doi: 10.1016/j.cemconres.2010.06.009
    [10] FANTILLI A P, VALLINI P, CHIAIA B. Ductility of fiber-reinforced self-consolidating concrete under multi-axial compression [J]. Cement and Concrete Composites, 2011, 33(4): 520–527. doi: 10.1016/j.cemconcomp.2011.02.007
    [11] REN G M, WU H, FANG Q, et al. Triaxial compressive behavior of UHPCC and applications in the projectile impact analyses [J]. Construction and Building Materials, 2016, 113(1): 1–14.
    [12] 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.
    [13] CHI Y, XU L, ZHANG Y. Experimental study on hybrid fiber–reinforced concrete subjected to uniaxial compression [J]. Journal of Materials in Civil Engineering, 2014, 26(2): 211–218. doi: 10.1061/(ASCE)MT.1943-5533.0000764
    [14] MURUGESAN REDDIAR M K. Stress-strain model of unconfined and confined concrete and stress-block parameters [D]. Texas A & M University, 2009: 31–37.
    [15] BAZANT Z. P. Fracture mechanics of concrete structures [C]//Proceedings of the First International Conference on Fracture Mechanics of Concrete Structures. Amsterdam: Breckenridge, CO, 1992: 20−25.
    [16] 董振英, 李庆斌, 王光纶, 等. 钢纤维混凝土轴拉应力应变特性的试验研究 [J]. 水利学报, 2002(5): 47–50. doi: 10.3321/j.issn:0559-9350.2002.05.010

    DONG Z Y, LI Q B, WANG G L, et al. Experimental study on stress-strain characteristics of steel fiber reinforced concrete under uniaxial tension [J]. Journal of Hydraulic Engineering, 2002(5): 47–50. doi: 10.3321/j.issn:0559-9350.2002.05.010
    [17] Comité Euro-International du Béton, CEB-FIP Model Code 1990: Design Code [S]. London: Thomas Telford Limited, 1993.
    [18] WANG S S, ZHANG M H, QUEK S T. Effect of high strain rate loading on compressive behaviour of fibre-reinforced high-strength concrete [J]. Magazine of Concrete Research, 2011, 63(11): 813–827. doi: 10.1680/macr.2011.63.11.813
    [19] HAO Y, HAO H. Dynamic compressive behaviour of spiral steel fibre reinforced concrete in split Hopkinson pressure bar tests [J]. Construction and Building Materials, 2013, 48: 521–532. doi: 10.1016/j.conbuildmat.2013.07.022
    [20] SUN X W, ZHAO K, LI Y C, et al. A study of strain-rate effect and fiber reinforcement effect on dynamic behavior of steel fiber-reinforced concrete [J]. Construction and Building Materials, 2018, 158: 657–669. doi: 10.1016/j.conbuildmat.2017.09.093
    [21] WANG Y H, WANG Z D, LIANG X Y, et al. Experimental and numerical studies on dynamic compressive behavior of reactive powder concretes [J]. Acta Mechanica Solida Sinica, 2008, 21(5): 420–430. doi: 10.1007/s10338-008-0851-0
    [22] SU Y, LI J, WU C Q, et al. Effects of steel fibres on dynamic strength of UHPC [J]. Construction and Building Materials, 2016, 114(1): 708–718.
    [23] WANG Z L, LIU Y S, SHEN R F. Stress–strain relationship of steel fiber-reinforced concrete under dynamic compression [J]. Construction and Building Materials, 2008, 22(5): 811–819. doi: 10.1016/j.conbuildmat.2007.01.005
    [24] ACI Committee 446. Report on dynamic fracture of concrete [R]. Michigan: American Concrete Institute, 2004.
    [25] MALVAR L J, ROSS C A. Review of strain rate effects for concrete in tension [J]. Aci Materials Journal, 1998, 95(6): 735–739.
    [26] THOMAS R J, SORENSEN A D. Review of strain rate effects for UHPC in tension [J]. Construction and Building Materials, 2017, 153: 846–856. doi: 10.1016/j.conbuildmat.2017.07.168
    [27] PARK J K, KIM S W, KIM D J. Matrix-strength-dependent strain-rate sensitivity of strain-hardening fiber-reinforced cementitious composites under tensile impact [J]. Composite Structures, 2017, 162: 313–324. doi: 10.1016/j.compstruct.2016.12.022
    [28] PARK S H, KIM D J, KIM S W. Investigating the impact resistance of ultra-high-performance fiber-reinforced concrete using an improved strain energy impact test machine [J]. Construction and Building Materials, 2016, 125: 145–159. doi: 10.1016/j.conbuildmat.2016.08.027
    [29] 赵春风, 王强, 王静峰, 等. 近场爆炸作用下核电厂安全壳穹顶钢筋混凝土板的抗爆性能 [J]. 高压物理学报, 2019, 33(2): 025101. doi: 10.11858/gywlxb.20180598

    ZHAO C F, WANG Q, WANG J F, et al. Blast resistance of containment dome reinforced concrete slab in NPP under close-in explosion [J]. Chinese Journal of High Pressure Physics, 2019, 33(2): 025101. doi: 10.11858/gywlxb.20180598
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  • 收稿日期:  2019-11-01
  • 修回日期:  2019-11-25

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