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复合材料层板冰雹高速冲击损伤预测及失效分析

张超 方鑫 刘建春

张超, 方鑫, 刘建春等 . 复合材料层板冰雹高速冲击损伤预测及失效分析[J]. 北京航空航天大学学报, 2022, 48(4): 698-707. doi: 10.13700/j.bh.1001-5965.2020.0636
引用本文: 张超, 方鑫, 刘建春等 . 复合材料层板冰雹高速冲击损伤预测及失效分析[J]. 北京航空航天大学学报, 2022, 48(4): 698-707. doi: 10.13700/j.bh.1001-5965.2020.0636
ZHANG Chao, FANG Xin, LIU Jianchunet al. Damage prediction and failure mechanism of composite laminates under high-velocity hailstone impact[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(4): 698-707. doi: 10.13700/j.bh.1001-5965.2020.0636(in Chinese)
Citation: ZHANG Chao, FANG Xin, LIU Jianchunet al. Damage prediction and failure mechanism of composite laminates under high-velocity hailstone impact[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(4): 698-707. doi: 10.13700/j.bh.1001-5965.2020.0636(in Chinese)

复合材料层板冰雹高速冲击损伤预测及失效分析

doi: 10.13700/j.bh.1001-5965.2020.0636
基金项目: 

江苏省普通高校研究生科研创新计划 KYCX20-3076

江苏省自然科学基金 BK20180855

机械结构力学及控制国家重点实验室开放课题 MCMS-E-0219Y01

详细信息
    通讯作者:

    张超, E-mail: zhangchao@ujs.edu.cn

  • 中图分类号: TB332

Damage prediction and failure mechanism of composite laminates under high-velocity hailstone impact

Funds: 

Postgraduate Research & Practice Innovation Program of Jiangsu Province KYCX20-3076

Natural Science Foundation of Jiangsu Province BK20180855

Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures MCMS-E-0219Y01

More Information
  • 摘要:

    针对冰雹冲击对复合材料结构安全造成的潜在风险,提出了一种基于连续介质损伤力学的非线性有限元模型,研究了碳纤维复合材料层板冰雹高速冲击力学行为。综合采用拉格朗日法和光滑粒子流体动力学(SPH)法对冰雹进行建模,引入水的状态方程描述冰雹破碎后的流动特性;考虑应变率的单向复合材料本构模型,根据三维Hashin失效准则及材料刚度折减方案,进行复合材料层内损伤预测;引入界面单元结合双线性内聚力模型模拟层间分层现象;编写用户材料VUMAT子程序,实现基于ABAQUS/Explicit显式模块的数值求解。模拟了冰雹高速冲击复合材料层板的瞬态过程,分析了材料的损伤特性和失效机理。探讨了冰雹冲击速度、冲击角度对层板冲击损伤性能的影响,为复合材料结构冰雹冲击问题数值分析提供参考。

     

  • 图 1  冰雹高速冲击复合材料层板实验装置及有限元模型

    Figure 1.  Experimental device and finite element model of composite laminates under high-velocity hailstone impact

    图 2  [0°/90°]4S层板实验[6]与模拟宏观损伤对比

    Figure 2.  Comparison of macroscopic damage of [0°/90°]4S laminates between experiment[6] and simulation

    图 3  [0°/90°]4S层板分层情况实验[6]与模拟对比

    Figure 3.  Comparison of delamination of [0°/90°]4S laminates between experiment[6] and simulation

    图 4  [0°/45°/90°/-45°]2S层板分层情况实验[6]与模拟对比

    Figure 4.  Comparison of delamination of [0°/45°/90°/-45°]2S laminates between experiment[6]and simulation

    图 5  206 m/s冰雹冲击速度下[0°/90°]4S复合材料层板动态过程

    Figure 5.  Dynamic process of [0°/90°]4S composite laminates under hailstone impact at velocity of 206 m/s

    图 6  两种典型层板分层面积随时间变化历程

    Figure 6.  Evolution of delamination area of two typical laminates with time

    图 7  206 m/s冰雹冲击速度下层板典型层基体拉伸损伤分布

    Figure 7.  Distribution of matrix tensile damage in typical layers of laminates under hailstone impact at velocity of 206 m/s

    图 8  206 m/s冰雹冲击速度下层板典型层纤维断裂损伤分布

    Figure 8.  Distribution of fiber breaking damage in typical layers of laminates under hailstone impact at velocity of 206 m/s

    图 9  冲击速度和冲击角度对最大冲击力的影响

    Figure 9.  Influence of impact velocity and impact angle on maximum impact force

    图 10  冲击速度和冲击角度对分层面积的影响

    Figure 10.  Influence of impact velocity and impact angle on delamination area

    表  1  材料刚度折减方案

    Table  1.   Material stiffness reduction scheme

    失效模式 刚度折减系数
    Ef1 Ef2 Gf12 Gf23 Em Gm
    纤维拉伸失效 0.01 0.2 0.01 1 1 1
    纤维压缩失效 0.01 0.2 0.01 1 1 1
    基体拉伸失效 1 0.2 0.2 0.2 0.01 0.01
    基体压缩失效 1 0.2 0.2 0.2 0.01 0.01
    下载: 导出CSV

    表  2  Gruneisen状态方程参数[12]

    Table  2.   Parameters of Gruneisen state equation[12]

    参数 数值
    C/(cm·μs-1) 0.148
    S1 2.559
    S2 -1.98
    S3 0.228
    γ0 0.493
    a 1.39
    E 2.895×10-6
    V/(Pa·S) 10-3
    下载: 导出CSV

    表  3  冰雹基本力学性能参数[18]

    Table  3.   Basic mechanical performance parameters of hailstone[18]

    参数 数值
    密度/(kg·m-3) 900
    弹性模量/MPa 9 380
    剪切模量/MPa 3 460
    泊松比 0.33
    压缩屈服强度/MPa 5.2
    拉伸失效应力/MPa 0.517
    下载: 导出CSV

    表  4  基于应变率的冰雹屈服强度[14]

    Table  4.   Strain rate based yield strengths of hailstone[14]

    应变率/s-1 屈服因子 应变率/s-1 屈服因子
    0 1 500 3.62
    0.1 1.01 103 3.84
    0.5 1.5 5×103 4.33
    1 1.71 104 4.55
    5 2.2 5×104 5.04
    10 2.42 105 5.25
    50 2.91 5×105 5.75
    100 3.13 106 5.96
    下载: 导出CSV

    表  5  界面单元材料参数[19-20]

    Table  5.   Material parameters of interface element[19-20]

    参数 数值
    密度/(kg·m-3) 1 440
    K/(N·mm-3) 1×106
    N/MPa 30
    S=T/MPa 75
    GIC/(N·mm-1) 0.3
    GⅡC=GⅢC/(N·mm-1) 0.6
    下载: 导出CSV

    表  6  单向复合材料的材料参数[6, 15, 21]

    Table  6.   Material parameters of unidirectional composite[6, 15, 21]

    参数 数值 参数 数值
    Ef1/GPa 230 G2/GPa 0.041
    Ef2=Ef3/GPa 15 θg2/ms 12 000
    Gf12=Gf13/GPa 2.35 ρ/(kg·m-3) 1 570
    Gf23/GPa 24 Vf 0.6
    Em/GPa 2.31 μ12=μ13 0.25
    E1/GPa 0.971 μ23 0.38
    θe1/ms 0.041 ξ 0.1
    E2/GPa 0.104 XT/MPa 2 100
    θe2/ms 121 000 XC/MPa 1 050
    Gm/GPa 0.857 YT/MPa 71
    G1/GPa 0.401 YC/MPa 132
    θg1/ms 0.077 S/MPa 75
    下载: 导出CSV
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出版历程
  • 收稿日期:  2020-11-15
  • 录用日期:  2021-03-12
  • 刊出日期:  2022-04-20

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