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考虑剪跨比及配纤率影响的CFRP加固剪力墙抗剪承载力计算方法

张滨麟 金浏 陈凤娟 杜修力

张滨麟, 金浏, 陈凤娟, 等. 考虑剪跨比及配纤率影响的CFRP加固剪力墙抗剪承载力计算方法[J]. 复合材料学报, 2023, 40(10): 5917-5932. doi: 10.13801/j.cnki.fhclxb.20230213.001
引用本文: 张滨麟, 金浏, 陈凤娟, 等. 考虑剪跨比及配纤率影响的CFRP加固剪力墙抗剪承载力计算方法[J]. 复合材料学报, 2023, 40(10): 5917-5932. doi: 10.13801/j.cnki.fhclxb.20230213.001
ZHANG Binlin, JIN Liu, CHEN Fengjuan, et al. Calculation method for shear bearing capacity of CFRP-strengthened shear wall considering shear span ratio and CFRP ratio[J]. Acta Materiae Compositae Sinica, 2023, 40(10): 5917-5932. doi: 10.13801/j.cnki.fhclxb.20230213.001
Citation: ZHANG Binlin, JIN Liu, CHEN Fengjuan, et al. Calculation method for shear bearing capacity of CFRP-strengthened shear wall considering shear span ratio and CFRP ratio[J]. Acta Materiae Compositae Sinica, 2023, 40(10): 5917-5932. doi: 10.13801/j.cnki.fhclxb.20230213.001

考虑剪跨比及配纤率影响的CFRP加固剪力墙抗剪承载力计算方法

doi: 10.13801/j.cnki.fhclxb.20230213.001
基金项目: 国家重点研发计划项目(2018YFC1504302);北京市自然科学基金项目(JQ22025);国家自然科学基金项目(52208453)
详细信息
    通讯作者:

    杜修力,博士,中国工程院院士,博士生导师,研究方向为土木工程防灾减灾 E-mail: duxiuli@bjut.edu.cn

  • 中图分类号: TU398.2;TU352.11

Calculation method for shear bearing capacity of CFRP-strengthened shear wall considering shear span ratio and CFRP ratio

Funds: National Key Basic Research and Development Program of China (2018YFC1504302); Beijing Municipal Natural Science Foundation (JQ22025); National Natural Science Foundation of China (52208453)
  • 摘要: 为探究外贴碳纤维增强复合材料(CFRP)加固钢筋混凝土(RC)剪力墙的抗剪性能及作用机制,基于Hashin损伤准则建立了可以考虑CFRP-混凝土界面剥离的三维数值模型。研究了剪跨比、CFRP配纤率及加固方式对CFRP加固RC剪力墙抗剪性能的影响。研究结果表明:(1) 外贴CFRP加固后有效缓解了剪切主裂缝的发展;(2) 随着剪跨比的增大,CFRP加固剪力墙中CFRP条带所提供的抗剪贡献显著降低;(3) CFRP抗剪贡献并不是随着加固层数的增大而线性增长。基于模拟分析结果,从定性结论扩展至量化分析,提出了剪跨比及加固层数影响系数,并基于美国规范(ACI 440.2R-17)公式形式,进一步建立了表征CFRP抗剪贡献的计算公式。通过与试验数据的对比,发现该建议公式可以更准确的描述剪跨比、CFRP配纤率及加固方式对CFRP抗剪贡献的影响规律,建议公式预测结果与试验结果的平均绝对误差为8%,验证了建议计算方法的有效性。

     

  • 图  1  碳纤维增强聚合物(CFRP)加固剪力墙数值模型

    Figure  1.  Numerical models of carbon fiber reinforced polymer (CFRP)-strengthened shear wall

    图  2  CFRP 材料面内受力情况

    Figure  2.  Force conditions of CFRP materials in plane

    σ11—Effective stress tensor in the fiber direction; σ22—Effective stress tensor in the matrix direction; τ12—Effective stress tensor in the shear direction

    图  3  不同加固方式下CFRP加固钢筋混凝土(RC)剪力墙模拟与试验[32]结果对比

    Figure  3.  Comparison of simulated and experimental results[32] of CFRP-strengthened reinforced concrete (RC) shear walls under different wrapping methods

    图  4  不同剪跨比下CFRP加固RC剪力墙模拟与试验[21]结果对比

    Figure  4.  Comparison of simulated and experimental results[21] of CFRP-strengthened RC shear walls under different shear span ratios

    λ—Shear span ratio; CW—Control RC shear wall; SW—Strengthened RC shear wall; H—Height of the wall; L—Length of the wall

    图  5  CFRP加固RC剪力墙破坏模式

    Figure  5.  Failure patterns of CFRP-strengthened shear walls

    图  6  CFRP加固RC剪力墙荷载-位移曲线

    Figure  6.  Load-displacement curves of CFRP-strengthened shear walls

    图  7  CFRP的抗剪贡献

    Figure  7.  Shear contribution of CFRP

    图  8  FRP加固剪力墙试验[14-15, 21, 32, 35-37]中得到的FRP抗剪贡献值(Vf-Exp) 与ACI规范[22]预测值 (Vf-Code(ACI))的对比

    Figure  8.  Comparison of FRP shear contribution obtained from FRP-strengthened shear wall tests (Vf-Exp)[14-15, 21, 32, 35-37] with ACI code[22] predictions (Vf-Code(ACI))

    图  9  不同剪跨比下CFRP加固剪力墙中CFRP抗剪贡献模拟值(Vf-Sim)与规范值(Vf-Code)[22]的对比

    Figure  9.  Comparison of simulated (Vf-Sim) and code (Vf-Code)[22] values of CFRP shear contribution in CFRP-strengthened shear walls for different shear span ratios

    R2—Goodness of fit

    图  10  不同加固层数下CFRP加固剪力墙中CFRP抗剪贡献模拟值与规范值[22]的对比

    Figure  10.  Comparison of simulated and code[22] values of CFRP shear contribution in CFRP-strengthened shear walls for different CFRP layers

    f(λ)—Influence function of shear span ratio on CFRP shear contribution

    图  11  本文建议公式预测的CFRP加固剪力墙中CFRP抗剪贡献与模拟结果对比

    Figure  11.  Comparison of CFRP shear contribution in CFRP-strengthened shear walls predicted by the proposed formula with simulation results

    图  12  FRP加固剪力墙试验[14-15, 21, 32, 35-37]中得到的FRP抗剪贡献值与ACI规范[22]及建议公式预测值的对比

    Figure  12.  Comparison of FRP shear contribution obtained from FRP-strengthened shear wall tests[14-15, 21, 32, 35-37] with predicted values of ACI code[22] and suggested formulas

    Afv—Area of FRP external reinforcement (mm2); ΔAAE—Average absolute error

    表  1  Altin等[32]及Woods等[21]试验中CFRP材料力学参数

    Table  1.   Mechanical parameters of the CFRP material in Altin et al[32] and Woods et al[21]

    Property
    of CFRP
    Thickness/
    mm
    Tensile
    strength/
    MPa
    Elastic
    modulus/
    GPa
    Ultimate
    tensile
    strain/%
    Altin et al[32] 0.12 4100 231 1.7
    Woods et al[21] 0.11 4000 230 1.7
    下载: 导出CSV

    表  2  CFRP材料及CFRP-混凝土界面力学参数

    Table  2.   Mechanical parameters of the CFRP material and CFRP-concrete interface

    CFRP
    material
    Parameter
    value/MPa
    CFRP
    interface
    Parameter
    value/MPa
    $ {{X}}^{\text{T}} $ 350.00 $ {{t}}_{\text{n}}^{\text{0}} $ 0.31
    $ {{X}}^{\text{C}} $ 300.00 $ {{t}}_{\text{s}}^{\text{0}} $ 0.48
    $ {{Y}}^{\text{T}} $ 1.50 $ {{t}}_{\text{t}}^{\text{0}} $ 0.48
    $ {{Y}}^{\text{C}} $ 50.00 $ {{G}}_{\text{n}} $ 100.00
    $ {{S}}^{\text{T}} $ 40.00 $ {{G}}_{\text{s}} $ 125.00
    $ {{S}}^{\text{L}} $ 10.00 $ {{G}}_{\text{t}} $ 125.00
    Notes: $ {{X}}^{\text{T}} $, $ {{X}}^{\text{C}} $, $ {{Y}}^{\text{T}} $ and $ {{Y}}^{\text{C}} $—Longitudinal tensile strength, longitudinal compressive strength, transverse tensile strength and transverse compressive strength; $ {{S}}^{\text{T}} $ and $ {{S}}^{\text{L}} $—Transverse and longitudinal shear strength; $ {{t}}_{\text{n}}^{\text{0}} $, $ {{t}}_{\text{s}}^{\text{0}} $ and $ {{t}}_{\text{t}}^{\text{0}} $—Peak values of the contact stress component in the normal (n), the first (s) and the second (t) direction; $ {{G}}_{\text{n}} $, $ {{G}}_{\text{s}} $ and $ {{G}}_{\text{t}} $—Work done by the traction and its conjugate displacement in the normal, the first, and the second shear directions, respectively.
    下载: 导出CSV

    表  3  试验数据库具体细节参数及FRP抗剪贡献

    Table  3.   Detailed parameters and FRP shear contribution of the test database

    ReferenceFRP wrapping method
    and layer
    Shear
    span ratio
    Structure size
    H×L×b/mm3
    Experimental
    result/kN
    ACI[22]
    result/kN
    Proposed formula
    result/kN
    Shen et al[15] Fully 2 layers 1.60 1600×1000×120 34.10 77.24 62.20
    Antoniades et al[36] Fully 1 layer 1.00 1200×1200×100 63.40 120.38 64.63
    Antoniades et al[37] Fully 1 layer 1.50 1800×1200×100 48.40 120.38 48.15
    Woods et al[21] Two-sides 3 layers 1.20 1800×1500×100 292.00 619.34 322.06
    Woods et al[21] Two-sides 3 layers 0.85 1800×2100×140 490.00 1213.91 595.38
    Woods[35] Two-sides 3 layers 0.65 1800×2750×180 980.00 1513.95 896.26
    El-Sokkary et al[14] Horizontal 1 ayer 0.87 1045×1200×80 47.00 200.93 51.07
    Shen et al[15] Horizontal 2 layers 1.60 1600×1000×120 42.20 67.10 44.76
    Altin et al[32] Horizontal 1 layer 1.50 1500×1000×100 100.00 57.12 90.48
    Note: b—Thickness of shear wall.
    下载: 导出CSV
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  • 收稿日期:  2022-10-24
  • 修回日期:  2023-01-13
  • 录用日期:  2023-01-18
  • 网络出版日期:  2023-02-13
  • 刊出日期:  2023-10-15

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