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含不同直径微脉管层合板拉伸性能研究

冉广陵 马埸浩 安子乾 赵大方 郭鑫 程小全

冉广陵,马埸浩,安子乾,等. 含不同直径微脉管层合板拉伸性能研究[J]. 北京航空航天大学学报,2024,50(4):1405-1415 doi: 10.13700/j.bh.1001-5965.2022.0490
引用本文: 冉广陵,马埸浩,安子乾,等. 含不同直径微脉管层合板拉伸性能研究[J]. 北京航空航天大学学报,2024,50(4):1405-1415 doi: 10.13700/j.bh.1001-5965.2022.0490
RAN G L,MA Y H,AN Z Q,et al. Study of tensile properties of laminates containing microvascular channels with different diameters[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(4):1405-1415 (in Chinese) doi: 10.13700/j.bh.1001-5965.2022.0490
Citation: RAN G L,MA Y H,AN Z Q,et al. Study of tensile properties of laminates containing microvascular channels with different diameters[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(4):1405-1415 (in Chinese) doi: 10.13700/j.bh.1001-5965.2022.0490

含不同直径微脉管层合板拉伸性能研究

doi: 10.13700/j.bh.1001-5965.2022.0490
详细信息
    通讯作者:

    E-mail:xiaoquan_cheng@buaa.edu.cn

  • 中图分类号: V215.2+2;TB332

Study of tensile properties of laminates containing microvascular channels with different diameters

More Information
  • 摘要:

    针对微脉管对层合板力学性能的影响,对含不同直径微脉管层合板的拉伸性能进行研究。通过试验测量了含不同直径微脉管层合板的拉伸性能,得到拉伸强度与刚度。建立了含微脉管层合板的精细化有限元模型,综合考虑了微脉管引起的富树脂区、纤维局部弯曲和铺层局部纤维体积分数变化的影响,对含微脉管层合板的拉伸性能进行了分析,并得到了试验结果的验证。在此基础上,分别就微脉管方向和直径对层合板拉伸性能的影响进行了研究。结果表明:当微脉管垂直铺层方向时,使单向层合板纵向拉伸强度降低,但刚度基本不受影响;微脉管直径越大,拉伸强度降低幅度越大;与不含微脉管层合板相比,含直径为0.255 mm和0.4 mm微脉管的层合板拉伸强度分别下降了21.9%和39.9%,但刚度变化不超过1.4%;当微脉管直径变化时,层合板拉伸损伤与破坏过程也发生变化。

     

  • 图 1  试验件中微脉管位置示意图

    Figure 1.  Schematic diagram of microvascular channels’ position in specimen

    图 2  试验件试验状态

    Figure 2.  Test condition of specimen

    图 3  试验测得的载荷-位移曲线

    Figure 3.  Load-displacement curves measured in test

    图 4  第2、3组试验件典型破坏模式

    Figure 4.  Typical damage patterns of specimen in groups 2 and 3

    图 5  微脉管周围富树脂区长度和各铺层厚度测量

    Figure 5.  Measurement of length of resin-rich zone around microvascular channel and thickness of each layer

    图 6  含微脉管层合板模型

    Figure 6.  Laminate model with microvascular channel

    图 7  富树脂区上方铺层纤维体积分数分布

    Figure 7.  Fiber volume fraction distribution in layers above resin-rich zone

    图 8  根据纤维体积分数赋予材料后的细化网格模型

    Figure 8.  Refined mesh model after assigning material according to fiber volume fraction

    图 9  有限元模型边界条件

    Figure 9.  Finite element model boundary conditions

    图 10  含0.255 mm直径微脉管层合板破坏前的应力分布

    Figure 10.  Stress distribution of laminate with 0.255 mm microvascular channel before damage

    图 11  有限元计算所得载荷-位移曲线

    Figure 11.  Load-displacement curves by finite element method

    图 12  微脉管上方应变位置和无微脉管上方应变位置

    Figure 12.  Location of strain above microvascular channel and location of strain above non-microvascular channel

    图 13  有限元模型微脉管处和无微脉管处应变

    Figure 13.  Finite element model strains at microvascular channel and non-microvascular channel

    图 15  第2组试验件端部位移0.0075 mm时层合板表层纵向应变${\varepsilon _{11}}$分布

    Figure 15.  Laminate surface longitudinal strain ${\varepsilon _{11}} $ distribution at 0.0075 mm shift of the end of group 2 specimens

    图 14  铺层中${\sigma _{11}}$应力分布

    Figure 14.  ${\sigma _{11}}$stress distribution in layer

    图 16  不考虑纤维体积分数变化时有限元载荷-位移曲线

    Figure 16.  Calculation load-displacement curves without considering change in volume fraction of fibers

    图 17  A点时层合板状态

    Figure 17.  Laminate status at point A

    图 18  B点富树脂区状态

    Figure 18.  Resin-rich zone status at point B

    图 19  CDE点对应损伤

    Figure 19.  Corresponding damages at point C, D and E

    图 20  第3组试验件有限元载荷-位移曲线各点对应损伤情况

    Figure 20.  Damage corresponding to each point of finite element load-displacement curve of specimen in group 3

    表  1  试验件参数

    Table  1.   Parameters of specimen

    组别 铺层 尺寸(长×宽×厚)/
    (mm×mm×mm)
    微脉管
    直径d/mm
    微脉管
    间距/mm
    微脉管
    层数
    数量
    1 [016] 250×15×2 0 6
    2 [08/(r)/08] 250×15×2 0.255 10 1 5
    3 [08/(r)/08] 250×15×2 0.4 10 1 5
    4 [908/(r)/908] 175×25×2 0.255 10 1 5
    下载: 导出CSV

    表  2  拉伸试验结果对比

    Table  2.   Comparison of tensile test results

    组别 试验件
    编号
    微脉管
    直径/
    mm
    1#应变片所测
    刚度(微脉
    管处)/GPa
    1#应变片所测
    刚度平均值
    (微脉管处)/GPa
    1#应变片所测
    刚度离散度
    (微脉管处)/%
    2#应变片所测
    刚度(无微脉
    管处)/GPa
    2#应变片所测
    刚度平均值
    (无微脉管处)/GPa
    2#应变片所测
    刚度离散度
    (无微脉管处)/%
    1 无管
    2 1# 0.255 146.6 147.2 0.4 138.4 139.7 0.8
    2# 0.255 147.8 140.6
    3# 0.255 147.1 140.1
    3 1# 0.4 151.8 151.8 0.2 139.7 139.6 0.1
    2# 0.4 152.1 139.6
    3# 0.4 151.6 139.5
    4 1# 0.255 7.75 7.73 0.37 8.02 8.00 1.00
    2# 0.255 7.68 7.90
    3# 0.255 7.75 8.12
    4# 0.255 7.73 8.00
    5# 0.255 7.73 7.97
    下载: 导出CSV
    组别 试验件
    编号
    引伸计所测
    刚度/GPa
    引伸计所测刚度
    平均值/GPa
    引伸计所测刚度
    平均下降比例/%
    引伸计所测刚度
    离散度/%
    拉伸强度/
    MPa
    拉伸强度
    平均值/MPa
    拉伸强度平均
    下降比例/%
    拉伸强度
    离散度/%
    1 无管 140.3 1.5 2 372.0 2.65
    2 1# 138.9 139.3 0.7 0.7 1 902.27 1 852.09 21.9 3.0
    2# 140.5 1 793.35
    3# 138.6 1 860.65
    3 1# 135.0 138.3 1.4 2.1 1 454.54 1 424.59 39.9 2.2
    2# 140.5 1 391.91
    3# 139.5 1 427.32
    4 1# 48.08 48.05 3.53
    2# 47.99
    3# 45.52
    4# 48.40
    5# 50.28
    下载: 导出CSV

    表  3  T700纤维及LT03A树脂力学性能[16,18]

    Table  3.   Mechanical properties of T700 fiber and LT03A resin[16,18]

    $E_{11}^{\text{f}}$/GPa$E_{22}^{\text{f}}$/GPa$G_{12}^{\text{f}}$/GPa$G_{23}^{\text{f}}$/GPa$\mu _{12}^{\text{f}}$$\mu _{23}^{\text{f}}$$E_{}^{\text{m}}$/GPa$G_{}^{\text{m}}$/GPa${\mu ^{\text{m}}}$
    230.015.024.05.00.30.493.451.280.35
    下载: 导出CSV

    表  4  单向预浸带性能Chamis模型计算值和实际测量值对比

    Table  4.   Comparison of Chamis model calculation results and actual measured performance of unidirectional prepreg tape

    测试方法 $E_{11}^{}$/GPa $E_{11}^{}$误差/% $E_{22}^{}$/GPa $E_{22}^{}$误差/% $\mu _{12}^{}$ $\mu _{12}^{}$误差/% G12/GPa G12误差/% G23/GPa G23误差/%
    Chamis模型计算值 139 0.93 8.55 6.88 0.32 7.78 3.8 5.94 3.02 2.58
    实际测量值 140.3 8.00 0.347 4.04 3.1
    下载: 导出CSV

    表  5  二维Hashin失效准则[19]

    Table  5.   2D Hashin failure criterion[19]

    失效模式 失效判据
    纤维拉伸失效
    ($ {\sigma _{11}} \geqslant 0 $)
    $ {\left(\dfrac{{\sigma }_{11}}{{X}_{\text{T}}}\right)}^{2}+{\left(\dfrac{{\tau }_{12}^{}}{{S}_{12}^{}}\right)}^{2}\geqslant 1 $
    纤维压缩失效
    ($ {\sigma _{11}} < 0 $)
    $ {\left(\dfrac{{\sigma }_{11}}{{X}_{\text{C}}}\right)}^{2}\geqslant 1 $
    基体拉伸失效
    ($ {\sigma _{22}} \geqslant 0 $)
    $ {\left( {\dfrac{{{\sigma _{22}}}}{{Y_{\text{T}}^{}}}} \right)^2} + {\left( {\dfrac{{\tau _{12}^{}}}{{S_{12}^{}}}} \right)^2} \geqslant 1 $
    基体压缩失效
    ($ {\sigma _{22}} < 0 $)
    $ {\left( {\dfrac{{{\sigma _{22}}}}{{2S_{13}^{}}}} \right)^2} + \left[ {{{\left( {\dfrac{{{Y_{\text{C}}}}}{{2{S_{23}}}}} \right)}^2} - 1} \right]\dfrac{{{\sigma _{22}}}}{{{Y_{\text{C}}}}} + {\left( {\dfrac{{\tau _{12}^{}}}{{S_{12}^{}}}} \right)^2} \geqslant 1 $
    下载: 导出CSV

    表  6  不同失效模式下材料刚度退化系数

    Table  6.   Degradation factor of material stiffness for different failure modes

    失效模式 退化系数
    纤维拉伸失效 $ {E_{11}} = 0.07{E_{11}},{G_{12}} = 0.07{G_{12}},{\mu _{12}} = 0.07{\mu _{12}} $
    纤维压缩失效 $ {E_{11}} = 0.14{E_{11}},{G_{12}} = 0.14{G_{12}},{\mu _{12}} = 0.14{\mu _{12}} $
    基体拉伸失效 ${E_{22}} = 0.2{E_{22}},{G_{12}} = 0.2{G_{12}},{G_{23}} = 0.2{G_{23}},$
    ${\mu _{12}} = 0.2{\mu _{12}},{\mu _{23}} = 0.2{\mu _{23}}$
    基体压缩失效 $ {E}_{22}=0.4{E}_{22},{G}_{12}=0.4{G}_{12},{G}_{23}=0.4{G}_{23}, $
    ${\mu _{12}} = 0.4{\mu _{12}},{\mu _{23}} = 0.4{\mu _{23}}$
    下载: 导出CSV

    表  7  富树脂区长度和各铺层厚度实际测量尺寸

    Table  7.   Actual measured length of resin-rich zone and thickness of each layer mm

    $d$ $w$ ${h_1}$ ${h_2}$ ${h_3}$ ${h_4}$ ${h_5}$ ${h_6}$ ${h_7}$ ${h_8}$
    0.28 2.543 0.092 0.099 0.105 0.11 0.111 0.113 0.115 0.116
    下载: 导出CSV

    表  8  T700/LT03A单向预浸带和Cohesive单元参数

    Table  8.   T700/LT03A unidirectional prepreg tape and Cohesive unit parameters

    参数 数值
    T700/LT03A
    单向预浸带
    $ {E_{11}}/{\text{GPa}} $ 139
    $ {E_{22}}/{\text{GPa}} $ 8.55
    $ {G_{12}}/{\text{GPa}} $ 3.8
    $ {G_{23}}/{\mathrm{GPa}} $ 3.02
    $\mu _{12}^{}$ 0.32
    $\mu _{23}^{}$ 0.3
    $ {X_{\text{T}}}/{\text{MPa}} $ 2372
    $ {X_{\text{C}}}/{\text{MPa}} $ 1234
    $ {Y_{\text{T}}}/{\text{MPa}} $ 55.0
    $ {Y_{\text{C}}}/{\text{MPa}} $ 178
    $ {S_{12}}/{\text{MPa}} $ 125.0
    $ {S_{23}}/{\text{MPa}} $ 107
    数值Cohesive
    单元[16]
    ${K}_{\text{nn}}^{0}/\text{(MPa} $·$ \text{mm}^{{-1}}$) 105
    $ {K}_{\text{ss}}^{0}/\text{(MPa} $·$ \text{{mm}}^{{-1}} $) 105
    $ {K}_{\text{tt}}^{0}/\text{(MPa} $·$ \text{mm}^{{-1}} $) 105
    $t_{\text{n}}^{\text{0}}/{\text{MPa}}$ 55
    $t_{\text{s}}^{\text{0}}/{\text{MPa}}$ 80
    $t_{\text{t}}^{\text{0}}/{\text{MPa}}$ 80
    $ {G}_{\text{C,n}}/$(N·$ \text{m}{\text{m}}^{{-1}} $) 0.276
    $ {G}_{\text{C,s}}/ $(N·$ \text{m}{\text{m}}^{{-1}} $) 0.807
    $ {G}_{\text{C,t}}/ $(N·$ \text{m}{\text{m}}^{{-1}} $) 0.807
    $\eta $ 1.75
     注:T700/LT03A单向预浸带参数根据Chamis 模型纤维体积分数为0.6时计算。
    下载: 导出CSV

    表  9  LT03A树脂力学性能

    Table  9.   Mechanical properties of LT03A resin

    ${E^{\text{m}}}/{\text{GPa}}$${\mu ^{\text{m}}}$S/MPa
    3.450.35120
    下载: 导出CSV

    表  10  试验和有限元所得拉伸强度对比

    Table  10.   Comparison of tensile strength obtained from tests and finite elements

    组别 微脉管直径/mm 拉伸强度/MPa 相对误差/%
    试验 有限元
    2 0.255 1852.09 1803.7 −2.6
    3 0.4 1424.59 1430.0 0.38
    下载: 导出CSV

    表  11  第2组试验件2处刚度有限元和试验结果对比

    Table  11.   Comparison of finite element and test results of stiffness at two locations for group 2 specimens

    位置 刚度/GPa 相对误差/%
    有限元 试验
    a点微脉管处 156.0 147.25 6.0
    b点无微脉管处 138.5 139.7 −0.9
    下载: 导出CSV

    表  12  不考虑纤维体积分数变化时有限元拉伸强度和原模型及试验结果对比

    Table  12.   Comparison of calculated tensile strength without considering change in fiber volume fraction with original model and test results

    组别 拉伸强度/MPa 相对误差/%
    试验 有限元(不考虑纤维体积分数变化) 有限元(考虑纤维体积分数变化) 不考虑纤维体积分数变化 考虑纤维体积分数变化
    2 1852.1 1525.8 1603.7 −17.62 −13.41
    3 1 424.6 1 269 1 430 −10.92 0.38
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-06-16
  • 录用日期:  2022-08-21
  • 网络出版日期:  2022-08-29
  • 整期出版日期:  2024-04-29

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