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基于能量准则的复合材料层合板低速冲击近场动力学模拟

姜晓伟 汪海 朱建辉

姜晓伟, 汪海, 朱建辉. 基于能量准则的复合材料层合板低速冲击近场动力学模拟[J]. 复合材料学报, 2024, 41(4): 2126-2136. doi: 10.13801/j.cnki.fhclxb.20230824.003
引用本文: 姜晓伟, 汪海, 朱建辉. 基于能量准则的复合材料层合板低速冲击近场动力学模拟[J]. 复合材料学报, 2024, 41(4): 2126-2136. doi: 10.13801/j.cnki.fhclxb.20230824.003
JIANG Xiaowei, WANG Hai, ZHU Jianhui. Peridynamic modeling of composite laminate under low-velocity impactusing energy-based criteria[J]. Acta Materiae Compositae Sinica, 2024, 41(4): 2126-2136. doi: 10.13801/j.cnki.fhclxb.20230824.003
Citation: JIANG Xiaowei, WANG Hai, ZHU Jianhui. Peridynamic modeling of composite laminate under low-velocity impactusing energy-based criteria[J]. Acta Materiae Compositae Sinica, 2024, 41(4): 2126-2136. doi: 10.13801/j.cnki.fhclxb.20230824.003

基于能量准则的复合材料层合板低速冲击近场动力学模拟

doi: 10.13801/j.cnki.fhclxb.20230824.003
详细信息
    通讯作者:

    姜晓伟,博士,工程师,研究方向为复合材料强度设计 E-mail: jiangxiaowei@alumni.sjtu.edu.cn

  • 中图分类号: TB330.1

Peridynamic modeling of composite laminate under low-velocity impactusing energy-based criteria

  • 摘要: 近场动力学模拟复合材料层合板低速冲击损伤具有一定优势。本文在球型域常规态近场动力学复合材料模型基础上,建立了考虑时间步长下不同断裂混合比的能量失效判定准则,并开展了基于能量准则的复合材料层合板低速冲击近场动力学模拟。首先对复合材料低速冲击近场动力学模拟的模型刚度进行了验证,近场动力学模拟的冲击接触力、冲击速度及冲击位移与有限元结果具有较好的一致性。在此基础上,开展了复合材料低速冲击近场动力学损伤模拟,给出了冲击过程中复合材料层合板纤维断裂、基体开裂及分层损伤扩展过程。对比试验结果,近场动力学模拟的分层损伤面积和分层形状与试验结果具有较好的一致性,验证了所开展的基于能量准则的复合材料层合板低速冲击近场动力学模拟的有效性。

     

  • 图  1  近场动力学符号

    Figure  1.  Peridynamic notations

    $ {\boldsymbol{x}}_{(k)}^{(n)} $—Material point; $ {\boldsymbol{u}}_{(k)}^{(n)} $—Deformation; $\mathcal{H}$—Horizon zone; $\delta $—Radius of horizon zone; x(j)—Bond material point; u(j)—Displacement of x(j); ξ—Bond; η'—Bond deformation

    图  2  复合材料低速冲击刚度验证示意图

    Figure  2.  Composite low-velocity impact stiffness validation diagram

    图  3  复合材料低速冲击刚度验证变形云图

    Figure  3.  Deformation cloud for low velocity impact of composite

    uz—Displacement in z direction

    图  4  复合材料低速冲击刚度验证冲击力-时间曲线

    Figure  4.  Low velocity impact load-time curves of composite

    FEM—Finite element method; PD—Peridynamics

    图  5  复合材料低速冲击刚度验证冲击速度-时间曲线

    Figure  5.  Low velocity impact velocity-time curves of composite

    图  6  复合材料低速冲击刚度验证冲击位移-时间曲线

    Figure  6.  Low velocity impact displacement-time curves of composite

    图  7  复合材料低速冲击损伤模拟示意图

    Figure  7.  Schematic diagram of low velocity impact damage simulation of composite

    ux, uy, uz—Displacement in x, y, z directions

    图  8  复合材料冲击损伤模拟冲击力-时间曲线

    Figure  8.  Low velocity impact damage modeling load-time curves of composite materials

    FEM_NoDamage—Finite element method result without damage; PD_NoDamage—Peridynamic results without damage; PD_Damage—Peridynamic results with damage

    图  9  复合材料低速冲击损伤模拟每一层的分层损伤随冲击时间的变化

    Figure  9.  Delamination variation of composite each ply under low-velocity impact with time

    $\varphi_{\text {delamination }}^{(n)(n+1)}$—Delamination damage factor

    图  10  复合材料低速冲击损伤模拟每一层的纤维断裂随冲击时间的变化

    Figure  10.  Fiber breakage variation of composite each ply under low-velocity impact with time

    $ {\varphi _{{\text{fiber breakage}}}} $—Fiber breakage damage factor

    图  11  复合材料低速冲击损伤模拟每一层的基体开裂随冲击时间的变化

    Figure  11.  Matrix crack variation of composite each ply under low-velocity impact with time

    $ {\varphi _{{\text{matrix cracking}}}} $—Matrix cracking damage factor

    图  12  复合材料低速冲击损伤模拟分层形状对比

    Figure  12.  Delamination shape comparison of composite under low-velocity impact

    Legend in the figure is envelope of delamination damage factor

    表  1  复合材料圆形板材料参数

    Table  1.   Composite circular laminate material parameters

    $ {E_1}/{\text{GPa}} $$ {E_2}/{\text{GPa}} $$ {G_{12}}/{\text{GPa}} $$ {\nu _{12}} $ρ/(kg·m−3)
    15310.36.00.31600
    Notes: $ {E_1} $, $ {E_2} $ and $ {G_{12}} $—Modulus; $ {\nu _{12}} $—Poisson's ratio; $ \rho $—Density.
    下载: 导出CSV

    表  2  碳纤维增强环氧树脂复合材料(T700/M21)的面内材料性能[25]

    Table  2.   In-plane material parameters of carbon fiber reinforced epoxy resin composite (T700/M21)[25] ρ=1580 kg/m3

    E1/
    GPa
    E2/
    GPa
    G12/
    GPa
    ν12XT/
    MPa
    XC/
    MPa
    YT/
    MPa
    YC/
    MPa
    1307.74.80.32080125060290
    Note: XT, XC, YT and YC—Strength.
    下载: 导出CSV

    表  3  T700/M21复合材料面外材料性能[25]

    Table  3.   Out-plane material parameters of T700/M21[25]

    ${G_{{\text{IC}}}}/{\text{MPa}}$${G_{{\text{IIC}}}}/{\text{MPa}}$$\eta $
    0.51.61.45
    Notes: ${G_{{\text{IC}}}}$ and ${G_{{\text{IIC}}}}$—Fracture toughness; $\eta $—Exponent.
    下载: 导出CSV

    表  4  复合材料低速冲击损伤模拟分层面积比较

    Table  4.   Delamination area comparison of composite under low-velocity impact

    MethodTest[25]PD modeling
    Delamination aera/mm2312.3$93.56 \times 4 = 374.24$
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-06-25
  • 修回日期:  2023-07-25
  • 录用日期:  2023-08-12
  • 网络出版日期:  2023-09-01
  • 刊出日期:  2024-04-15

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