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考虑混凝土软化效应的钢筋与混凝土粘结强度计算模型

兰官奇 王毅红 刘乐 刘喜 宋梅梅

兰官奇, 王毅红, 刘乐, 刘喜, 宋梅梅. 考虑混凝土软化效应的钢筋与混凝土粘结强度计算模型[J]. 工程力学, 2022, 39(9): 234-241, 256. doi: 10.6052/j.issn.1000-4750.2021.06.0433
引用本文: 兰官奇, 王毅红, 刘乐, 刘喜, 宋梅梅. 考虑混凝土软化效应的钢筋与混凝土粘结强度计算模型[J]. 工程力学, 2022, 39(9): 234-241, 256. doi: 10.6052/j.issn.1000-4750.2021.06.0433
LAN Guan-qi, WANG Yi-hong, LIU Le, LIU Xi, SONG Mei-mei. A MODEL OF CALCULATING THE BOND STRENGTH BETWEEN REBARS AND CONCRETE CONSIDERING THE SOFTENING EFFECT OF CONCRETE[J]. Engineering Mechanics, 2022, 39(9): 234-241, 256. doi: 10.6052/j.issn.1000-4750.2021.06.0433
Citation: LAN Guan-qi, WANG Yi-hong, LIU Le, LIU Xi, SONG Mei-mei. A MODEL OF CALCULATING THE BOND STRENGTH BETWEEN REBARS AND CONCRETE CONSIDERING THE SOFTENING EFFECT OF CONCRETE[J]. Engineering Mechanics, 2022, 39(9): 234-241, 256. doi: 10.6052/j.issn.1000-4750.2021.06.0433

考虑混凝土软化效应的钢筋与混凝土粘结强度计算模型

doi: 10.6052/j.issn.1000-4750.2021.06.0433
基金项目: 陕西省自然科学基础研究计划资助项目(2022JQ-301);西部绿色建筑国家重点实验室开放基金项目(LSKF202217);国家自然科学基金项目(51878054);陕西省自然科学基础研究计划一般项目(青年)(2021JQ-605)
详细信息
    作者简介:

    王毅红(1955−),女,山东人,教授,博士,主要从事混凝土结构基本理论及其应用研究(E-mail: wangyh@chd.edu.cn)

    刘 乐(1994−),男,陕西人,硕士,主要从事混凝土结构设计相关方面研究(E-mail: 1738677491@qq.com)

    刘 喜(1986−),男,陕西人,副教授,博士,主要从事工程结构抗震与防灾方面研究(E-mail: lliuxii@163.com)

    宋梅梅(1988−),女,陕西人,讲师,博士,主要从事高性能混凝土材料方面研究(E-mail: songmeimei2016@163.com)

    通讯作者:

    兰官奇(1991−),男,陕西人,讲师,博士,主要从事混凝土结构基本理论及其应用研究(E-mail: 201202@xsyu.edu.cn)

  • 中图分类号: TU375

A MODEL OF CALCULATING THE BOND STRENGTH BETWEEN REBARS AND CONCRETE CONSIDERING THE SOFTENING EFFECT OF CONCRETE

  • 摘要: 通过钢筋与混凝土拉式粘结试验,测试了高强度带肋钢筋与不同强度等级混凝土的粘结强度,分析了带肋钢筋与混凝土的粘结受力机理;采用双线性软化本构对开裂区的软化行为进行描述,建立了综合考虑开裂区及未开裂区混凝土影响的粘结强度理论计算模型;研究了开裂区不同径向位移分布对计算结果的影响,并将计算结果与试验结果进行对比,验证了计算模型的有效性。结果表明:模型采用基于等效弹性假设的开裂区径向位移分布时,计算值与试验值最为吻合,但却过高的估计了低强度混凝土试件的粘结强度;为确保有足够的安全储备,建议采用弹性假设作为开裂区混凝土径向位移分布。
  • 图  1  试件尺寸 /mm

    Figure  1.  Specimen size

    图  2  加载装置

    Figure  2.  Loading device

    图  3  钢筋与混凝土粘结锚固受力机理

    Figure  3.  Mechanisms of bonding and anchoring between rebar and concrete

    图  4  简化计算模型

    Figure  4.  Simplified analytical model

    图  5  考虑开裂区混凝土软化的计算模型

    Figure  5.  Computational model considering softening of concrete in cracked zone

    图  6  混凝土的软化效应

    Figure  6.  Softening effect of concrete

    图  7  不同软化曲线形式

    Figure  7.  Different forms of softening curve

    图  8  开裂区混凝土径向位移的不同假设

    Figure  8.  Different hypotheses of radial displacement of concrete in cracked zone

    表  1  拉式粘结试验结果

    Table  1.   Bond test results

    试件编号钢筋直径/mm锚固长度/mm保护层厚度/mm混凝土抗压强度/MPa混凝土抗拉强度/MPa粘结强度均值/MPa粘结强度标准差/MPa
    T16-7d-C30 16 115 92 40.69 3.03 18.65 3.41
    T16-7d-C40 16 115 92 50.32 3.41 24.94 1.83
    T16-7d-C50 16 115 92 56.02 3.62 25.79 1.52
    下载: 导出CSV

    表  2  粘结强度的理论计算值

    Table  2.   Calculation value of bond strength

    试件编号参数C1/mm按假设①计算按假设②计算按假设③计算
    ru1/mm${\tau} _{ {\text{u1} } }^{\text{c} }$/MParu2/mm${\tau} _{ {\text{u2} } }^{\text{c} }$/MParu3/mm${\tau} _{ {\text{u3} } }^{\text{c} }$/MPa
    T16-7d-C30−174.9769.8524.5552.9618.5457.3321.10
    T16-7d-C40168.1169.0427.3451.9720.4956.5823.44
    T16-7d-C50−164.1568.5528.8451.3821.5256.1324.69
    A18-10d-C40[2]−209.5673.9310.4857.958.7161.119.30
    A18-10d-C50[2]−207.2873.6611.4157.629.3660.8610.08
    A18-10d-C60[2]−204.0573.2812.7257.1610.2760.5111.18
    B18-20d-C60[21]−208.8673.8510.7757.858.9161.049.54
    B18-20d-C80[21]−204.7373.5911.6657.539.5360.7910.29
    B18-20d-C100[21]−201.5072.9813.7656.7911.0060.2312.05
    注:1) 为便于对比分析,所收集数据试件编号按照本文试件编号规则重新赋予编号,例如A18-10d-C40含义为钢筋公称直径为18 mm、锚固长度为10 d、混凝土强度等级为C40的试件;2) 每组收集数据为3个试件实测值的平均值;3) 相同强度等级混凝土实测强度值存在差异,所收集数据中详细试验参数见相应文献;4) ru1ru2ru3分别为假设①、②、③下计算得到的裂缝深度;5) ${\tau} _{ {\text{u1} } }^{\text{c} } $、${\tau} _{ {\text{u2} } }^{\text{c} } $、${\tau} _{ {\text{u3} } }^{\text{c} } $分别为假设①、②、③下计算得到的粘结强度。
    下载: 导出CSV

    表  3  粘结强度理论计算值与试验值的对比

    Table  3.   Comparisons between calculated and experimental values of bond strength

    试件编号试验值${\tau} _{\text{u} }^{\text{t} }$/MPa${ {{\tau} _{ {\text{u1} } }^{\text{c} } } \mathord{/ {\vphantom { {{\tau} _{ {\text{u1} } }^{\text{c} } } {{\tau} _{\text{u} }^{\text{t} } } }} } {{\tau} _{\text{u} }^{\text{t} } } }$${ {{\tau} _{ {\text{u2} } }^{\text{c} } } \mathord{/ {\vphantom { {{\tau} _{ {\text{u2} } }^{\text{c} } } {{\tau} _{\text{u} }^{\text{t} } } }} } {{\tau} _{\text{u} }^{\text{t} } } }$${ {{\tau} _{ {\text{u3} } }^{\text{c} } } \mathord{/ {\vphantom { {{\tau} _{ {\text{u3} } }^{\text{c} } } {{\tau} _{\text{u} }^{\text{t} } } }} } {{\tau} _{\text{u} }^{\text{t} } } }$
    T16-7d-C30 18.65 1.33 1.00 1.15
    T16-7d-C40 24.94 1.10 0.82 0.95
    T16-7d-C50 25.79 1.16 0.87 0.99
    A18-10d-C40 8.92 1.17 0.98 1.04
    A18-10d-C50 10.45 1.09 0.90 0.96
    A18-10d-C60 11.56 1.10 0.89 0.97
    B18-20d-C60 10.31 1.04 0.86 0.93
    B18-20d-C80 11.50 1.01 0.83 0.89
    B18-20d-C100 12.45 1.11 0.88 0.97
    注:${ { {\tau} _{ {\text{u1} } }^{\text{c} } } \mathord{/ {\vphantom { { {\tau} _{ {\text{u1} } }^{\text{c} } } { {\tau} _{\text{u} }^{\text{t} } } } } } { {\tau} _{\text{u} }^{\text{t} } } } $、${ {{\tau} _{ {\text{u2} } }^{\text{c} } } \mathord{/ {\vphantom { {{\tau} _{ {\text{u2} } }^{\text{c} } } {{\tau} _{\text{u} }^{\text{t} } } }} } {{\tau} _{\text{u} }^{\text{t} } } } $、${ {{\tau} _{ {\text{u3} } }^{\text{c} } } \mathord{/ {\vphantom { {{\tau} _{ {\text{u3} } }^{\text{c} } } {{\tau} _{\text{u} }^{\text{t} } } }} } {{\tau} _{\text{u} }^{\text{t} } } } $分别为假设①、②、③下计算得到的粘结强度与试验实测粘结强度的比值。
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-06-07
  • 修回日期:  2021-08-28
  • 网络出版日期:  2021-09-17
  • 刊出日期:  2022-09-01

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