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钢-塑钢混杂纤维再生混凝土单轴压缩动态力学性能试验

冯俊杰 尹冠生 刘柱 梁建红 张云杰 牛志强 王鹏博

冯俊杰, 尹冠生, 刘柱, 等. 钢-塑钢混杂纤维再生混凝土单轴压缩动态力学性能试验[J]. 复合材料学报, 2022, 39(11): 5386-5402. doi: 10.13801/j.cnki.fhclxb.20211221.002
引用本文: 冯俊杰, 尹冠生, 刘柱, 等. 钢-塑钢混杂纤维再生混凝土单轴压缩动态力学性能试验[J]. 复合材料学报, 2022, 39(11): 5386-5402. doi: 10.13801/j.cnki.fhclxb.20211221.002
FENG Junjie, YIN Guansheng, LIU Zhu, et al. Experiment on dynamic mechanical properties of steel and macro-polypropylene hybrid fibers reinforced recycled aggregate concrete under uniaxial compression[J]. Acta Materiae Compositae Sinica, 2022, 39(11): 5386-5402. doi: 10.13801/j.cnki.fhclxb.20211221.002
Citation: FENG Junjie, YIN Guansheng, LIU Zhu, et al. Experiment on dynamic mechanical properties of steel and macro-polypropylene hybrid fibers reinforced recycled aggregate concrete under uniaxial compression[J]. Acta Materiae Compositae Sinica, 2022, 39(11): 5386-5402. doi: 10.13801/j.cnki.fhclxb.20211221.002

钢-塑钢混杂纤维再生混凝土单轴压缩动态力学性能试验

doi: 10.13801/j.cnki.fhclxb.20211221.002
基金项目: 长安大学博士研究生创新能力培养资助项目(300203211121);陕西省交通运输厅交通科研项目(21-67K);长安大学相变蓄能建筑材料创新开放实验室项目(2018CXSY06);河南省科技厅科技攻关项目(182102311091);郑州科技学院自然科学项目(2017-XYZK-002)
详细信息
    通讯作者:

    尹冠生,博士,教授,博士生导师,研究方向为混凝土结构  E-mail: yings@chd.edu.cn

  • 中图分类号: TV431

Experiment on dynamic mechanical properties of steel and macro-polypropylene hybrid fibers reinforced recycled aggregate concrete under uniaxial compression

  • 摘要: 为探究钢-塑钢混杂纤维再生混凝土的压缩动态力学性能,设计了A、B和C 3个系列混杂纤维再生混凝土包含3种再生粗骨料取代率和5种体积分数1.5vol%的钢纤维和塑钢混掺纤维组合,采用了4种加载应变率。试验表明:随应变率增加,混杂纤维再生混凝土峰值应力、弹性模量和压缩韧性增大,峰值应变减小。相较于基准组,在相同应变率下3个系列中的含纤维组峰值应力最大增幅分别为23%、16%和16%;峰值应变最大增幅分别为19%、12%和13%;弹性模量最大增幅分别为15%、14%和35%;压缩韧性最大增幅分别为46%、32%和37%。在试验应变率范围内,再生粗骨料显著提高峰值应力、弹性模量和压缩韧性的应变率敏感性,对峰值应变的应变率敏感性并无明显影响;掺入纤维降低混凝土峰值应变和弹性模量的应变率敏感性,提高普通混凝土峰值应力和压缩韧性的应变率敏感性,降低再生混凝土峰值应力和压缩韧性的应变率敏感性。提出的动态损伤本构模型考虑了纤维增强系数、再生粗骨料取代率和应变率,计算结果与试验结果吻合较好。

     

  • 图  1  压缩试验加载装置(单位:mm)

    Figure  1.  Loading setup for compressive test (Unit: mm)

    图  2  不同应变率下HyF/RAC(C0和C3组)试件破坏形态

    Figure  2.  Failure modes of C0 and C3 specimens for HyF/RAC at different strain rates

    图  3  不同应变率下HyF/RAC(C0和C3组)试件应力-应变曲线

    Figure  3.  Stress-strain curve of C0 and C3 specimens for HyF/RAC at different strain rates

    图  4  不同应变率下HyF/RAC峰值应力$\sigma^{\rm{p}} $

    Figure  4.  Peak stress $\sigma^{\rm{p}} $ of HyF/RAC at different strain rates

    $ \dot \varepsilon $—Strain rate; $ {\dot \varepsilon _{\text{s}}} $—Quasi-static strain rate

    图  5  不同应变率下HyF/RAC峰值应力动态增长因子$F^{{\sigma}^{\rm{p}}}_{\rm{D}} $

    Figure  5.  Dynamic increase factor $F^{{\sigma}^{\rm{p}}}_{\rm{D}} $of peak stress of HyF/RAC at different strain rates

    图  6  不同应变率下HyF/RAC峰值应变$\varepsilon^{\rm{p}} $

    Figure  6.  Peak strain $\varepsilon^{\rm{p}} $ of HyF/RAC at different strain rates

    图  7  不同应变率下HyF/RAC峰值应变动态增长因子$F^{{\varepsilon}^{\rm{p}}}_{\rm{D}} $

    Figure  7.  Dynamic increase factor $F^{{\varepsilon}^{\rm{p}}}_{\rm{D}} $ of peak strain of HyF/RAC at different strain rates

    图  8  不同应变率下HyF/RAC弹性模量 E

    Figure  8.  Elastic modulus E of HyF/RAC at different strain rates

    图  9  不同应变率下HyF/RAC弹性模量动态增长因子$F^E_{\rm{D}} $

    Figure  9.  Dynamic increase factor $F^E_{\rm{D}} $ of elastic modulus of HyF/RAC at different strain rates

    图  10  不同应变率下HyF/RAC压缩韧性T

    Figure  10.  Compressive toughness T of HyF/RAC at different strain rates

    图  11  不同应变率下HyF/RAC压缩韧性动态增长因子$F^T_{\rm{D}} $

    Figure  11.  Dynamic increase factor $F^T_{\rm{D}} $ of compressive toughness of HyF/RAC at different strain rates

    图  12  HyF/RAC应力-应变曲线特征参数预测模型性能

    SD—Standard deviation; Err—Mean relative error

    Figure  12.  Performance of prediction models for characteristic indices of HyF/RAC stress-strain curves

    图  13  不同应变率下HyF/RAC(C0组)试验曲线与各模型曲线对比

    Figure  13.  Comparison of experimental and theoretical stress-strain curves of C0 for HyF/RAC at different strain rates

    图  14  不同应变率下HyF/RAC(C3组)试验曲线与各模型曲线对比

    Figure  14.  Comparison of experimental and theoretical stress-strain curves of C3 for HyF/RAC at different strain rates

    图  15  不同应变率下HyF/RAC(C0和C3组)损伤演化

    Figure  15.  Damage evolution curves of C0 and C3 for HyF/RAC at different strain rates

    表  1  端钩钢纤维(HES)和塑钢纤维(MPP)属性

    Table  1.   Properties of hooked-end steel fiber (HES) and macro-polypropylene fiber (MPP)

    Fiber typeEquivalent
    diameter/mm
    Length/mmAspect
    ratio
    Density/(kg·m−3)Tensile strength/MPaYoung’s modulus/GPa
    HES0.75354778001120200.0
    MPP0.9428309105805.5
    下载: 导出CSV

    表  2  钢-塑钢混杂纤维再生混凝土(HyF/RAC)配合比设计

    Table  2.   Designed mix proportions of hybrid fiber reinforced recycled aggregate concrete (HyF/RAC) kg/m3

    MixNotationWaterCementSandRCANCAHESMPPAW
    A0NAC2514676390104400.000
    A11.5%HES/NAC251467639010441170.000
    A21.25%HES-0.25%MPP/NAC25146763901044982.280
    A31.0%HES-0.5%MPP/NAC25146763901044784.550
    A40.75%HES-0.75%MPP/NAC25146763901044596.830
    A50.5%HES-1.0%MPP/NAC25146763901044399.100
    B0RAC(50%)25146763952252200.0020
    B11.5%HES/RAC(50%)2514676395225221170.0020
    B21.25%HES-0.25%MPP/RAC(50%)251467639522522982.2820
    B31.0%HES-0.5%MPP/RAC(50%)251467639522522784.5520
    B40.75%HES-0.75%MPP/RAC(50%)251467639522522596.8320
    B50.5%HES-1.0%MPP/RAC(50%)251467639522522399.1020
    C0RAC(100%)2514676391044000.0040
    C11.5%HES/RAC(100%)251467639104401170.0040
    C21.25%HES-0.25%MPP/RAC(100%)25146763910440982.2840
    C31.0%HES-0.5%MPP/RAC(100%)25146763910440784.5540
    C40.75%HES-0.75%MPP/RAC(100%)25146763910440596.8340
    C50.5%HES-1.0%MPP/RAC(100%)25146763910440399.1040
    Notes: NAC—Natural aggregate concrete; RAC—Recycled aggregate concrete; RCA—Recycled coarse aggregate; NCA—Natural coarse aggregate; AW—Absorbed water; In iHES-jMPP/RAC(k), i—Volume fraction of HES, j—Volume fraction of MPP, k—Replacement ratio by mass of RCA.
    下载: 导出CSV

    表  3  不同应变率下HyF/RAC峰值应力$ {\sigma ^{\text{p}}} $

    Table  3.   Results of peak stress $ {\sigma ^{\text{p}}} $ of HyF/RAC at different strain rates

    Mix10−5 s−110−4 s−110−3 s−15×10−3 s−1
    $ {\sigma ^{\text{p}}} $/MPaCV/%$ {\sigma ^{\text{p}}} $/MPaCV/%$ {\sigma ^{\text{p}}} $/MPaCV/%$ {\sigma ^{\text{p}}} $/MPaCV/%
    A031.31.5832.42.8433.73.1534.70.00
    A132.42.5334.02.7238.84.0139.31.03
    A232.94.3136.30.9839.11.2740.15.14
    A334.90.1739.02.9041.30.3441.90.84
    A431.53.5932.85.4035.24.2236.94.41
    A532.75.1934.43.2936.62.6137.35.13
    B028.31.0029.13.8732.41.4634.02.29
    B129.62.1530.81.1534.64.7135.74.56
    B231.91.3033.65.2734.23.9336.13.73
    B331.20.2332.41.9735.71.9837.26.84
    B430.41.5132.31.9935.33.1336.10.78
    B531.61.5933.71.7037.30.5738.32.22
    C024.68.5726.92.7430.64.4832.50.22
    C126.24.0427.83.8931.61.1432.43.45
    C226.82.2428.80.7232.22.6432.81.72
    C328.42.6931.10.6833.02.6934.43.63
    C427.80.9530.06.2132.72.6033.15.32
    C526.30.7927.32.2330.65.4632.70.43
    Note: CV—Coefficients of variation.
    下载: 导出CSV

    表  4  不同应变率下HyF/RAC峰值应变$ {\varepsilon ^{\text{p}}} $

    Table  4.   Results of peak strain $ {\varepsilon ^{\text{p}}} $ of HyF/RAC at different strain rates

    Mix10−5 s−110−4 s−110−3 s−15×10−3 s−1
    $ {\varepsilon ^{\text{p}}} $/10−3CV/%$ {\varepsilon ^{\text{p}}} $/10−3CV/%$ {\varepsilon ^{\text{p}}} $/10−3CV/%$ {\varepsilon ^{\text{p}}} $/10−3CV/%
    A0 2.376 4.73 2.330 8.37 2.224 1.67 2.101 9.02
    A1 2.410 2.87 2.340 7.71 2.256 10.77 2.199 11.43
    A2 2.413 1.55 2.390 0.74 2.378 11.52 2.321 6.02
    A3 2.599 8.68 2.555 3.18 2.528 3.98 2.500 3.42
    A4 2.419 2.70 2.425 6.95 2.413 10.11 2.312 11.72
    A5 2.443 6.27 2.432 8.62 2.330 6.22 2.254 1.68
    B0 2.593 3.67 2.469 0.79 2.370 3.18 2.325 6.08
    B1 2.651 9.27 2.631 6.65 2.620 6.75 2.510 6.20
    B2 2.673 3.61 2.645 9.62 2.592 5.28 2.481 9.76
    B3 2.760 5.68 2.708 7.48 2.631 7.32 2.610 5.55
    B4 2.583 0.39 2.544 2.43 2.544 7.28 2.533 8.45
    B5 2.666 2.41 2.658 6.79 2.630 4.84 2.591 2.11
    C0 2.814 4.46 2.726 3.44 2.621 2.51 2.524 2.73
    C1 2.933 1.81 2.815 11.43 2.708 5.28 2.694 0.33
    C2 2.950 1.47 2.813 1.33 2.769 2.75 2.733 2.20
    C3 2.941 1.62 2.853 0.99 2.845 6.83 2.648 3.47
    C4 3.041 3.67 2.996 4.01 2.891 0.79 2.861 9.33
    C5 2.981 3.50 2.859 1.67 2.754 7.66 2.701 0.46
    下载: 导出CSV

    表  5  不同应变率下HyF/RAC弹性模量E

    Table  5.   Results of elastic modulus E of HyF/RAC at different strain rates

    Mix10−5 s−110−4 s−110−3 s−15×10−3 s−1
    E/GPaCV/%E/GPaCV/%E/GPaCV/%E/GPaCV/%
    A0 29.5 3.86 33.2 9.20 37.6 9.87 41.2 2.37
    A1 31.8 8.13 35.3 1.34 38.6 3.95 42.0 9.60
    A2 32.1 7.05 34.3 1.09 38.3 4.35 41.4 4.92
    A3 34.1 7.30 34.1 2.88 34.7 0.61 38.1 10.65
    A4 32.5 7.19 33.7 5.58 35.7 4.14 37.4 11.49
    A5 33.9 4.75 34.0 5.06 35.0 3.23 38.2 2.85
    B0 24.8 7.61 26.2 8.55 28.6 3.24 30.8 2.69
    B1 25.6 9.08 26.2 0.91 28.6 5.58 30.8 9.23
    B2 27.1 0.22 28.1 11.70 29.4 8.73 33.9 8.52
    B3 27.3 0.70 28.7 9.85 31.0 6.90 31.7 1.92
    B4 28.2 1.65 29.9 3.60 33.2 0.66 33.6 6.38
    B5 27.2 4.70 27.8 11.33 28.9 9.67 32.9 11.19
    C0 18.7 3.06 21.9 11.63 24.9 6.18 26.7 9.24
    C1 20.7 8.05 22.8 11.44 26.3 11.54 27.8 7.55
    C2 23.2 7.56 24.3 2.31 26.1 1.54 29.5 10.99
    C3 25.1 6.06 26.3 4.08 28.0 11.09 28.1 2.47
    C4 22.9 0.56 23.3 2.43 25.2 4.69 28.3 9.75
    C5 22.7 0.56 24.4 9.26 27.9 3.17 29.2 9.11
    下载: 导出CSV

    表  6  不同应变率下HyF/RAC压缩韧性T

    Table  6.   Results of compressive toughness T of HyF/RAC at different strain rates

    Mix10−5 s−110−4 s−110−3 s−15×10−3 s−1
    T/MPaT/MPaT/MPaT/MPa
    A00.0420.0440.0460.043
    A10.0470.0490.0510.050
    A20.0470.0510.0530.047
    A30.0550.0580.0600.062
    A40.0470.0480.0520.053
    A50.0470.0490.0470.051
    B00.0410.0430.0430.045
    B10.0460.0480.0500.052
    B20.0490.0510.0530.056
    B30.0510.0510.0550.057
    B40.0480.0500.0540.057
    B50.0500.0510.0570.058
    C00.0380.0400.0430.045
    C10.0430.0460.0500.053
    C20.0480.0490.0510.057
    C30.0520.0530.0550.052
    C40.0510.0540.0540.057
    C50.0470.0470.0470.052
    下载: 导出CSV

    表  7  现有压缩动态本构模型

    Table  7.   Review of dynamic constitutive models under compression

    ReferenceModelParameterApplication range
    Ibrahim et al[21]$ \begin{gathered} y = \frac{{Ax + \left( {B - 1} \right){x^2}}}{{1 + \left( {A - 2} \right)x + B{x^2}}} \\ A\left( {A - 2} \right) - B + 1 \geqslant 0 \\ A + B > 1 \\ \end{gathered} $$ \begin{gathered} A = 3.6\exp \left( {9.0 \times {{10}^{ - 8}}\left( {\frac{{\dot \varepsilon }}{{{{\dot \varepsilon }_{\text{s}}}}}} \right)\left( {1 + 0.01R_V^{0.82}} \right)} \right) \\ B = 0.22\exp \left( {3.8 \times {{10}^{ - 7}}\left( {\frac{{\dot \varepsilon }}{{{{\dot \varepsilon }_{\text{s}}}}}} \right)\left( {1 + 0.002R_V^{0.82}} \right)} \right) \\ \end{gathered} $$ \begin{gathered} 25{\text{ }}{{\text{s}}^{ - 1}} \leqslant \dot \varepsilon \leqslant 125{\text{ }}{{\text{s}}^{ - 1}} \\ 1.2{\text{% }} \leqslant V \leqslant 1.4\% \\ \end{gathered} $
    Zhou et al[22]$ \begin{gathered} \sigma = {\sigma _{\text{m}}}\left( {1 - D} \right) = E\varepsilon \left( {1 - D} \right) \\ D = 1 - \exp \left[ { - {{\left( {\frac{\varepsilon }{{{F_0}}}} \right)}^m}} \right] \\ \end{gathered} $$ \begin{gathered} {F_0} = 3.3578\ln \dot \varepsilon - 10.6562 \\ m = 1.2804\ln \dot \varepsilon - 1.8711 \\ \end{gathered} $$ 19.8{\text{ }}{{\text{s}}^{ - 1}} \leqslant \dot \varepsilon \leqslant 281{\text{ }}{{\text{s}}^{ - 1}} $
    Hou et al[23]$ \begin{gathered} \sigma = {\sigma _{\text{m}}}\left( {1 - {C_{\text{n}}}D} \right) = E\varepsilon \left( {1 - {C_{\text{n}}}D} \right) \\ D = 1 - \exp \left[ { - {{\left( {\frac{\varepsilon }{{{F_0}}}} \right)}^m}} \right] \\ \end{gathered} $$ \begin{gathered} {F_0} = 0.0062 + 0.31{V^{1.7}} - 0.00167\left( {0.1 + V} \right)\ln \dot \varepsilon \\ m = - 0.56 + 3V + \left( {0.35 - 2V} \right)\ln \dot \varepsilon \\ {C_{\text{n}}} = 0.977 - 1.4V + \left( {0.004 + 0.25V} \right)\ln \dot \varepsilon \\ \end{gathered} $$ \begin{gathered} \dot \varepsilon \leqslant 294{\text{ }}{{\text{s}}^{ - 1}} \\ V \leqslant 5\% \\ \end{gathered} $
    Sun et al[25]$ \begin{gathered} \sigma = {\sigma _{\text{m}}}\left( {1 - D} \right) = E\varepsilon \left( {1 - D} \right) \\ \dot D = AD\left( {1 - D} \right) \\ \end{gathered} $$\begin{gathered} {D} = 0.35 - 8.2 \times {10^{ - 9} }\left( {\frac{ {\dot \varepsilon } }{ { { {\dot \varepsilon }_{\text{s} } } } } } \right) - \\ \qquad 4.4V + 1.3 \times {10^{ - 7} }\left( {\frac{ {\dot \varepsilon } }{ { { {\dot \varepsilon }_{\text{s} } } } } } \right)V \\ A = 234 + 1.3 \times {10^{ - 7} }\left( {\frac{ {\dot \varepsilon } }{ { { {\dot \varepsilon }_{\text{s} } } } } } \right) + \\ \qquad 1718V - 8.6 \times {10^{ - 5} }\left( {\frac{ {\dot \varepsilon } }{ { { {\dot \varepsilon }_{\text{s} } } } } } \right)V \\ \end{gathered}$$ \begin{gathered} 53{\text{ }}{{\text{s}}^{ - 1}} \leqslant \dot \varepsilon \leqslant 152{{\text{s}}^{ - 1}} \\ V \leqslant 6.0\% \\ \end{gathered} $
    Zhang et al[26]$ \begin{gathered} \sigma = \left( {1 - D} \right){\sigma _{\text{m}}} \\ {\sigma _{\text{m}}} = {\sigma _{\text{e}}}\left( \varepsilon \right) + {E_1}\int_0^t {\dot \varepsilon \exp \left( { - \frac{{t - \tau }}{{{\varphi _1}}}} \right){\rm{d}}\tau } + \\ \qquad {E_2}\int_0^t {\dot \varepsilon \exp \left( { - \frac{{t - \tau }}{{{\varphi _2}}}} \right){\rm{d}}\tau } \\ {\sigma _{\text{e}}}\left( \varepsilon \right) = E\varepsilon + \alpha {\varepsilon ^2} + \beta {\varepsilon ^3} \\ D = \left\{ \begin{gathered} 0{\text{ }}\qquad(\varepsilon \leqslant {\varepsilon ^{{\text{th}}}}) \\ 1 - \exp \left[ { - {{\left( {\frac{{\varepsilon - {\varepsilon ^{{\text{th}}}}}}{{{F_0}}}} \right)}^m}} \right]{\text{ }}\qquad(\varepsilon > {\varepsilon ^{{\text{th}}}}) \\ \end{gathered} \right. \\ \end{gathered} $No fitting equation$ \begin{gathered} 27{\text{ }}{{\text{s}}^{ - 1}} \leqslant \dot \varepsilon \leqslant 94{\text{ }}{{\text{s}}^{ - 1}} \\ V \leqslant 0.2\% \\ \end{gathered} $
    Wang et al[27]$ \begin{gathered} \sigma = \left( {1 - D} \right)\sigma \\ {\sigma _{\text{m}}} = {\sigma _{\text{e}}}\left( \varepsilon \right) + {E_1}\int_0^t {\dot \varepsilon \exp \left( { - \frac{{t - \tau }}{{{\varphi _1}}}} \right){\rm{d}}\tau } + \\ \qquad {E_2}\int_0^t {\dot \varepsilon \exp \left( { - \frac{{t - \tau }}{{{\varphi _2}}}} \right){\rm{d}}\tau } \\ D = \left\{ \begin{gathered} 0{\text{ }}\qquad(\varepsilon \leqslant {\varepsilon ^{{\text{th}}}} ) \\ {K_D}{{\dot \varepsilon }^{\lambda - 1}}{\left( {\varepsilon - {\varepsilon ^{{\text{th}}}}} \right)^\kappa }{\text{ }}\qquad(\varepsilon > {\varepsilon ^{{\text{th}}}} ) \\ \end{gathered} \right. \\ \end{gathered} $No fitting equation$ {10^{ - 4}}{\text{ }}{{\text{s}}^{ - 1}} \leqslant \dot \varepsilon \leqslant {10^3}{\text{ }}{{\text{s}}^{ - 1}} $
    Notes: $y = {\sigma \mathord{\left/ {\vphantom {\sigma { {\sigma ^{\text{p} } } } } } \right. } { {\sigma ^{\text{p} } } }}, x = {\varepsilon \mathord{\left/ {\vphantom {\varepsilon { {\varepsilon ^{\text{p} } } } } } \right. } { {\varepsilon ^{\text{p} } } }}$, $ \sigma $—Stress, $ {\sigma ^{\text{p}}} $—Peak stress, $ \varepsilon $—Strain, $ {\varepsilon ^{\text{p}}} $—Peak strain; RV—Reinforcing index of hybrid fibers; D—Damage parameter; t—Loading time; τ—Delay time of stress; E1, $ {\varphi _1} $—Elastic modulus and relaxation time at a low strain rate and frequency; E2, $ {\varphi _2} $—Elastic modulus and relaxation time at a high strain rate and frequency; α, β—Elastic constant; $ {K_D},{\text{ }}\lambda ,{\text{ }}\kappa $—Material parameter; $ {\varepsilon ^{{\text{th}}}} $—Strain threshold.
    下载: 导出CSV

    表  8  HyF/RAC修正模型参数$ \alpha $拟合值

    Table  8.   Fitted results of parameter $ \alpha $ in modified constitutive models for HyF/RAC

    Mix$ \dot \varepsilon $
    10−5 s−110−4 s−110−3 s−15×10−3 s−1
    Fitted valueR2Fitted valueR2Fitted valueR2Fitted valueR2
    A03.4340.9913.3990.9462.5970.9532.2850.940
    A11.8820.9781.1750.9981.6990.9861.3520.973
    A21.3860.9991.4010.9971.0200.9811.0390.994
    A31.4420.9971.9120.9921.6070.9651.6500.974
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  • 收稿日期:  2021-10-15
  • 修回日期:  2021-12-10
  • 录用日期:  2021-12-13
  • 网络出版日期:  2021-12-22
  • 刊出日期:  2022-11-01

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