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CFRP修复缺陷钢板应力解析模型

周道成 常利晨

周道成,常利晨. CFRP修复缺陷钢板应力解析模型 [J]. 应用数学和力学,2021,42(12):1276-1286 doi: 10.21656/1000-0887.420006
引用本文: 周道成,常利晨. CFRP修复缺陷钢板应力解析模型 [J]. 应用数学和力学,2021,42(12):1276-1286 doi: 10.21656/1000-0887.420006
ZHOU Daocheng, CHANG Lichen. A Stress Analysis Model for CFRP Repaired Defective Steel Plates[J]. Applied Mathematics and Mechanics, 2021, 42(12): 1276-1286. doi: 10.21656/1000-0887.420006
Citation: ZHOU Daocheng, CHANG Lichen. A Stress Analysis Model for CFRP Repaired Defective Steel Plates[J]. Applied Mathematics and Mechanics, 2021, 42(12): 1276-1286. doi: 10.21656/1000-0887.420006

CFRP修复缺陷钢板应力解析模型

doi: 10.21656/1000-0887.420006
详细信息
    作者简介:

    周道成(1976—),男,副教授,博士,硕士生导师(通讯作者. E-mail:zhoudc@dlut.edu.cn

  • 中图分类号: TU312+.1

A Stress Analysis Model for CFRP Repaired Defective Steel Plates

  • 摘要:

    在使用碳纤维复合材料(carbon fiber reinforced polymer, CFRP)修复钢结构腐蚀缺陷的修复方式中,CFRP应力及胶层应力是确定碳纤维修复结构承载能力的关键。基于平截面假设,得到弯矩作用下应力与应变分布;基于胶层剪切模型,得到胶层剪应力与CFRP和钢板位移间的关系;基于力的平衡,得到CFRP和钢板的应力关系。结合得到的各种材料之间关系,推导出轴力和弯矩联合作用状态下CFRP双面修复钢板的CFRP与胶层应力分布解析解。采用数值分析对CFRP双侧粘贴修复缺陷钢板进行分析,分析结果与解析结果具有一致性,同时获得了CFRP双侧粘贴修复缺陷钢板的应力分布特点,以及构件可能发生破坏的位置,为计算构件极限承载力提供了基础。

  • 图  1  修复有缺陷结构示意图

    Figure  1.  Schematic diagram of repairing the defective structure

    图  2  各层材料微元受力示意图

    Figure  2.  Schematic diagram of micro element stresses of each layer

    图  5  CFRP修复缺陷钢板CFRP应力云图

    注 为了解释图中的颜色,读者可以参考本文的电子网页版本,后同。

    Figure  5.  The CFRP stress nephogram of the defective steel plate repaired with CFRP

    图  4  CFRP修复有缺陷钢板结构尺寸图(单位:mm)

    Figure  4.  Structural dimensions of the defective steel plate repaired with CFRP (unit: mm)

    图  6  CFRP修复缺陷钢板胶层剪应力云图

    Figure  6.  The shear stress nephogram in the adhesive layer of the defective steel plate repaired with CFRP

    图  3  CFRP修复无缺陷钢板结构尺寸图 (单位:mm)

    Figure  3.  Structural dimensions of the defect-free steel plate repaired with CFRP (unit: mm)

    图  7  CFRP应力对比(受拉无缺陷无限宽钢板)

    Figure  7.  Comparison of CFRP stresses (an infinite-width defect-free steel plate in tension)

    图  8  胶层剪力对比(受拉无缺陷无限宽钢板)

    Figure  8.  Comparison of the adhesive layer’s shear stresses (an infinite-width defect-free steel plate in tension)

    图  9  CFRP应力对比(受弯拉无缺陷无限宽钢板)

    Figure  9.  Comparison of CFRP stresses (an infinite-width defect-free steel plate in tension and bending)

    图  10  胶层剪力对比(受弯拉无缺陷无限宽钢板)

    Figure  10.  Comparison of the adhesive layer’s shear stresses (an infinite-width defect-free steel plate in tension and bending)

    图  11  CFRP 应力对比(受拉有缺陷无限宽钢板)

    Figure  11.  Comparison of CFRP stresses (an infinite-width defective steel plate in tension)

    图  12  胶层剪力对比(受拉有缺陷无限宽钢板)

    Figure  12.  Comparison of the adhesive layer’s shear stresses (an infinite-width defective steel plate in tension)

    图  13  CFRP 应力对比(受弯拉有缺陷无限宽钢板)

    Figure  13.  Comparison of CFRP stresses (an infinite-width defective steel plate in tension and bending)

    图  14  胶层剪力对比(受弯拉有缺陷无限宽钢板)

    Figure  14.  Comparison of the adhesive layer’s shear stresses (an infinite width defective steel plate in tension and bending)

    表  1  CFRP修复结构有限元模型参数

    Table  1.   Finite element model parameters of the structure repaired with CFRP

    material typematerial parametermaterial propertyelement type
    steel$E = 200\;{\rm{ GPa}},\;G = 78.1\;{\rm{ GPa}},\;\mu = 0.28 $isotropic materialSolid185
    adhesive$E = 3.37\;{\rm{ GPa}},\;G = 1.3\;{\rm{ GPa}},\;\mu = 0.30 $isotropic materialSolid185
    ${E_x} = 242\;{\rm{ GPa}},\;{E_y} = {E_z} = 1.0\;{\rm{ GPa}} $
    CFRP ${G_{xy}} = {G_{xz}} = 5.0\;{\rm{ GPa}},\;{G_{yz}} = 2.5{\rm{ GPa}} $ orthotropic materialShell181
    ${\mu _{xy}} = {\mu _{xz}} = 0.307,\;{\mu _{yz}} = 0.35 $
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出版历程
  • 收稿日期:  2021-01-06
  • 录用日期:  2021-06-04
  • 修回日期:  2021-06-19
  • 网络出版日期:  2021-11-15
  • 刊出日期:  2021-12-01

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