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树脂富集区对复合材料多向板I型分层断裂行为的影响

曹东风 邵磊 段青枫 麻宇豪 张旭东 胡海晓 冀运东 李书欣

曹东风, 邵磊, 段青枫, 等. 树脂富集区对复合材料多向板I型分层断裂行为的影响[J]. 复合材料学报, 2024, 43(0): 1-11.
引用本文: 曹东风, 邵磊, 段青枫, 等. 树脂富集区对复合材料多向板I型分层断裂行为的影响[J]. 复合材料学报, 2024, 43(0): 1-11.
CAO Dongfeng, SHAO Lei, DUAN Qingfeng, et al. Effect of resin-rich zone on fracture behavior of mode-I delamination of multi-directional laminates[J]. Acta Materiae Compositae Sinica.
Citation: CAO Dongfeng, SHAO Lei, DUAN Qingfeng, et al. Effect of resin-rich zone on fracture behavior of mode-I delamination of multi-directional laminates[J]. Acta Materiae Compositae Sinica.

树脂富集区对复合材料多向板I型分层断裂行为的影响

基金项目: 国家自然科学基金 (52273080;12302481);湖北省自然科学基金 (20231j0223);2023 年湖北省重大攻关项目 (JD2023BAA028)
详细信息
    通讯作者:

    段青枫,博士研究生,研究方向为复合材料结构强度与疲劳断裂 E-mail: Absinthe1223@whut.edu.cn

  • 中图分类号: TB332

Effect of resin-rich zone on fracture behavior of mode-I delamination of multi-directional laminates

Funds: National Natural Science Foundation of China (52273080; 12302481); Natural Science Foundation of Hubei Province (20231j0223); Major Research Rrojects in Hubei Province in 2023 (JD2023BAA028)
  • 摘要: 双悬臂梁(Double Cantilever Beam,DCB)试验是测定复合材料层合板I型层间断裂能最主要方法。针对DCB试样因铺贴聚四氟乙烯薄膜预制分层产生树脂富集区对I型断裂能计算不准确的问题,本文设计三种铺层角度(0//0,0//45,0//90)的DCB试验,采用扫描电镜表征DCB裂纹断面的微观形貌,量化树脂富集影响区域,研究三种工况树脂富集对载荷-位移曲线的非线性行为的影响规律。建立含树脂富集区和纤维桥接扩展区的DCB数值模型,开展量化分析解释和揭示树脂富集区对断裂能R曲线的影响规律。试验结果表明:三种铺层角度对应的树脂富集区的长度明显不同,0//0试样最长,0//90试样最短。树脂富集区和纤维桥接扩展区的耦合作用,导致载荷-位移曲线呈现不同的非线性行为。构建的数值分析模型可以准确预测与试验一致的载荷-位移曲线,验证了树脂富集区对I型分层初始断裂韧性的影响规律。

     

  • 图  1  树脂富集区对载荷-位移曲线影响示意图[13]

    Figure  1.  Schematic diagram of the influence of resin-rich zone on load-displacement curve[13]

    图  2  DCB试样尺寸图

    Figure  2.  Dimensions of the DCB specimen

    图  3  (a)试验设备图;(b) DCB试样侧面图

    Figure  3.  (a) Diagram of test equipment; (b) Side view of the DCB specimen

    图  4  不同层间铺层角度DCB试样的载荷-位移曲线:(a) 0//0;(b) 0//45;(c) 0//90

    Figure  4.  Load-displacement curves of DCB specimens with different interlayer ply angles: (a) 0//0; (b) 0//45; (c) 0//90

    图  5  不同层间铺层角度DCB试样的$ {G_{{{{\rm I}C}}}} $曲线:(a) 0//0;(b) 0//45;(c) 0//90

    Figure  5.  $ {G_{{{{\rm I}C}}}} $curves of DCB specimens with different ply angles: (a) 0//0; (b) 0//45; (c) 0//90

    图  6  DCB试样宏观断面图和微观形貌图:(a) 0//0;(b) 0//45;(c) 0//90

    Figure  6.  Macroscopic cross-sectional view and microscopic morphology of DCB specimens: (a) 0//0; (b) 0//45; (c) 0//90

    图  7  (a)试样分区示意图;(b)内聚力模型本构示意图[26];(c) DCB有限元模型

    Figure  7.  (a) Schematic diagram of specimen partitioning; (b) Schematic diagram of the constitutive diagram of the cohesion model[26]; (c) DCB finite element mode

    图  8  网格敏感性分析:(a)裂纹尖端扩展区;(b)非裂纹尖端扩展区

    Figure  8.  Mesh sensitivity analysis in crack tip propagation zone (a) and non-crack tip propagation zone (b)

    图  9  不同铺层角度的DCB试样的试验与数值模拟载荷-位移曲线对比:(a)0//0;(b)0//45;(c)0//90

    Figure  9.  Comparison of experiment and simulation load-displacement curves of DCB specimens with different ply angles: (a)0//0; (b)0//45; (c)0//90

    表  1  复合材料层合板材料力学性能参数

    Table  1.   Mechanical property parameters of composite laminate materials

    Module Value
    E11/GPa 117
    E22/GPa 7.47
    E33/GPa 7.47
    G12/GPa 4.07
    G13/GPa 4.07
    G23/GPa 2.31
    ν12 0.33
    ν13 0.33
    ν23 0.3
    Notes: E−Elastic modulus; G−Shear modulus; ν−Poisson ratio; 1−Direction of fiber; 2−Direction of matrix; 3−Thickness direction of layer.
    下载: 导出CSV

    表  2  DCB试样的层间断裂韧性值

    Table  2.   Interlaminar fracture toughness of DCB specimens

    Ply angles Specimen label ${G_{{\text{I - MC}}}}$ $ {G_{{\text{INI}}}} $ Ave. value/(J·m−2) CV/%
    /(J·m−2) /(J·m−2) ${G_{{\text{I - MC}}}}$ $ {G_{{\text{INI}}}} $ ${G_{{\text{I - MC}}}}$ $ {G_{{\text{INI}}}} $
    0//0 DCB-0-1
    DCB-0-2
    DCB-0-3
    343.4
    326.6
    352.1
    230.7
    241.1
    236.1
    340.7 235.9 3.80 2.21
    0//45 DCB-45-1
    DCB-45-2
    DCB-45-3
    303.4
    310.8
    318.2
    247.6
    242.1
    251.5
    310.8 247.1 2.38 1.91
    0//90 DCB-90-1
    DCB-90-2
    DCB-90-3
    246.6
    261.3
    301.1
    234.2
    246.2
    286.6
    270.7 255.7 10.43 10.74
    Notes: ${G_{{\text{I - MC}}}}$-SERR for matrix cracking damage; $ {G_{{\text{INI}}}} $-SERR for initiation value; CV−Sample coefficient of variation.
    下载: 导出CSV

    表  3  聚力单元本构参数[26]

    Table  3.   Constitutive parameters of cohesive elements[26]

    Resin-rich zone CZM SERR for matrix cracking damage $ {G_{{\text{{\rm I} - MC}}}} $
    Interfacial strength $ {\sigma _0} = {\sigma _{\text{b}}} = 78.3 $MPa
    Initial interfacial stiffness $ {K_0} = {10^{15}} $N/m3[27]
    Damage initiation displacement $ \delta ' = {\sigma _0}/{K_0} = 7.83 \times {10^{ - 5}}{\text{mm}} $
    Damage failure displacement $ {\delta _0} = 2{G_{{\text{{\rm I} - MC}}}}/{\sigma _0} $
    MB-CZM Element E1 SERR for matrix cracking damage $ G{'_{{\text{{\rm I} - MC}}}} $=$ {G_{{\text{INI}}}} - {G_{{\text{I - FB}}}} - {G_{{\text{I - FD}}}} $
    SERR for matrix/fiber interfacial
    separation damage
    $ {G_{{\text{I - FD}}}} = {G_{{\text{INI}}}} - {G_{{\text{br}}}}(\delta ) - G{'_{{\text{{\rm I} - MC}}}} $
    Initial interfacial stiffness $ {K_{{\text{E1}}}} $= 107 N/m3[26]
    Maximum interface strength $ \sigma _{\max }^c = 0.6{\sigma _{\text{b}}} = 47 $MPa[28]
    Element E2 Initial interfacial stiffness $ {K_{{\text{E2}}}} = \sigma _{{\text{br}}}^{\max }/{\delta _2} = 4.7 \times {10^{12}} $N/m3
    Maximum fiber bridging interface strength $ \sigma _{{\text{br}}}^{\max } = ({G_a}/{\delta _a}) + ({G_b}/{\delta _b}) $
    Maximum bridging opening
    displacement
    $ \delta _{{\text{br}}}^{\max } $
    Damage failure displacement $ {\delta _2} = 2{G_{{\text{IC}}}}/\sigma _{\max }^{\text{c}} $
    Notes: $ {\sigma _{\text{b}}} $-Tensile strength of the matrix; $ {G_{{\text{I - FB}}}} $- SERR associated fiber bridging ahead of the crack tip;$ {G_{{\text{br}}}}(\delta ) $- Strain energy release rate $ {G_{{\text{br}}}}(\delta ) $ as a function of the initial crack tip opening displacement δ ;$ {G_{{\text{IC}}}} $-Interlayer strain energy release rate.
    下载: 导出CSV

    表  4  不同层间铺层角度下DCB试样的拟合参数

    Table  4.   Fitting parameters of DCB specimens at different interlaminar ply angles

    Ply angles ${G_a}$/(J·m−2) ${G_b}$/(J·m−2) ${\delta _a}$/mm $ {\delta _b} $/mm $ \sigma _{{\text{br}}}^{\max } $/MPa
    0//0 28.49 254.3 1.504 0.05178 4.93
    0//45 348.5 340.5 1.8 0.1 3.59
    0//90 134.3 466.9 1.6 0.1 4.75
    Notes: ${G_a}$,${G_b}$,${\delta _a}$,$ {\delta _b} $ are the fitting constant coefficients.
    下载: 导出CSV

    表  5  MB-CZM中与分层起始相关的材料参数

    Table  5.   Material parameters associated with delamination initiation in the MB-CZM

    Ply angles $ {\delta _0} $/mm $ G{'_{{\text{{\rm I} - MC}}}} $/(J·m−2) $ {G_{{\text{I - FD}}}} $/(J·m−2) $ {\delta _2} $/mm $ \delta _{{\text{br}}}^{\max } $/mm
    0//0 0.00870 235 0.9 0.0100 5.9
    0//45 0.00794 246.75 0.35 0.0105 5.3
    0//90 0.00691 255.68 0.02 0.01088 3.4
    下载: 导出CSV
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  • 收稿日期:  2024-08-12
  • 修回日期:  2024-10-12
  • 录用日期:  2024-10-13
  • 网络出版日期:  2024-10-28

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