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基于爆炸切割试验的有机玻璃本构模型参数反演

张宇卓 赵铮

张宇卓, 赵铮. 基于爆炸切割试验的有机玻璃本构模型参数反演[J]. 爆炸与冲击, 2023, 43(5): 054201. doi: 10.11883/bzycj-2023-0006
引用本文: 张宇卓, 赵铮. 基于爆炸切割试验的有机玻璃本构模型参数反演[J]. 爆炸与冲击, 2023, 43(5): 054201. doi: 10.11883/bzycj-2023-0006
ZHANG Yuzhuo, ZHAO Zheng. Parameter inversion of the polymethyl methacrylate constitutive model based on explosive cutting experiment[J]. Explosion And Shock Waves, 2023, 43(5): 054201. doi: 10.11883/bzycj-2023-0006
Citation: ZHANG Yuzhuo, ZHAO Zheng. Parameter inversion of the polymethyl methacrylate constitutive model based on explosive cutting experiment[J]. Explosion And Shock Waves, 2023, 43(5): 054201. doi: 10.11883/bzycj-2023-0006

基于爆炸切割试验的有机玻璃本构模型参数反演

doi: 10.11883/bzycj-2023-0006
基金项目: 国家自然科学基金(11302106)
详细信息
    作者简介:

    张宇卓(1999- ),男,硕士研究生,tumo5315@163.com

    通讯作者:

    赵 铮(1979- ),男,博士,副教授,zhaozheng@126.com

  • 中图分类号: O383; TJ04

Parameter inversion of the polymethyl methacrylate constitutive model based on explosive cutting experiment

  • 摘要: 为了获取爆炸切割数值模拟中有机玻璃(PMMA)的材料本构模型参数,建立了一种基于神经网络的有机玻璃Johnson Holmquist ceramics (JH-2)本构模型参数反演方法:基于从爆炸切割试验和现有研究得到的JH-2本构模型经验参数,确定本构模型参数的调整区间;使用LS-DYNA数值模拟软件对2.5 mm宽爆炸切割索切割14 mm PMMA平板过程进行数值模拟并收集平板损伤数据集;建立PMMA平板本构模型参数与损伤数据之间的神经网络模型;通过训练完成的神经网络模型对PMMA平板的JH-2本构模型参数进行反演。为验证通过反演参数的可靠性,进行了4.2 mm宽爆炸切割索切割19 mm PMMA平板试验和有限元数值模拟,计算结果中的平板损伤情况与实验结果相差较小,表明通过反演获得的JH-2本构模型参数能较好地应用于PMMA平板爆炸切割数值模拟。传统材料参数获取方法,该参数反演方法相较于可以通过较少的试验及测试,获得比较准确的材料本构模型参数。
  • 图  1  切割索截面

    Figure  1.  Cross-section of linear shaped charge

    图  2  爆炸切割实验

    Figure  2.  Explosive cutting test

    图  3  爆炸切割试验结果

    Figure  3.  Explosive cutting test results

    图  4  局部有限元网格

    Figure  4.  Partial finite element mesh

    图  5  神经网络结构

    Figure  5.  Neural network structure

    图  6  目标函数收敛过程

    Figure  6.  Convergence process of the objective function

    图  7  PMMA平板爆炸切割试验数值模拟结果

    Figure  7.  Numerical simulation results of PMMA flat plate explosive cutting test

    图  8  试验结果与数值模拟结果对比

    Figure  8.  Comparison of test results and numerical simulation results

    图  9  爆炸切割索横截面

    Figure  9.  Cross-section of linear shaped charge

    图  10  爆炸切割试验结果

    Figure  10.  Explosive cutting test results

    图  11  有限元数值模拟结果

    Figure  11.  Finite element numerical simulation results

    表  1  冲击强度测试数据

    Table  1.   Testing data of impact strength

    平板冲击强度/(J·cm−2)
    测试1测试2测试3平均值
    11.351.501.251.37
    21.831.651.741.74
    32.852.823.002.89
    下载: 导出CSV

    表  2  PMMA平板损伤数据

    Table  2.   PMMA flat plate damage data

    平板平板厚度/mm侵彻深度/mm冲击断裂厚度/mm层裂厚度/mm是否成功切开
    1143.55.55.0
    2144.74.84.5
    3147.300
    下载: 导出CSV

    表  3  PMMA平板JH-2本构模型参数调整区间

    Table  3.   Adjustment interval of parameters of PMMA flat plate JH-2 constitutive model

    ABCMN
    1.85~2.052.35~2.65−0.001~0.0010.50~0.800.50~0.80
    下载: 导出CSV

    表  4  数据集的输入值

    Table  4.   Input values of the dataset

    编号h1/cmh2/cmh3/cmd1/cmd2/cmd3/cmδ1/cmδ2/cmδ3/cm
    15.02.07.04.53.91.47.21.50
    23.44.95.74.14.95.06.93.10
    613.35.35.43.27.83.05.23.10
    624.15.24.73.58.02.56.01.30
    下载: 导出CSV

    表  5  数据集的输出值

    Table  5.   Output values of the dataset

    编号ABCMN
    11.922.400.00350.520.55
    21.942.47−0.00210.610.59
    611.992.55−0.00110.600.55
    622.032.5900.600.67
    下载: 导出CSV

    表  6  PMMA平板JH-2本构模型参数反演值

    Table  6.   Inversion values of parameters of PMMA flat plate JH-2 constitutive model

    ABCMN
    1.95662.4918−0.02050.58610.5860
    下载: 导出CSV

    表  7  试验结果与数值模拟结果对比

    Table  7.   Comparison of test results and numerical simulation results

    材料侵彻深度/mm冲击断裂厚度/mm层裂厚度/mm
    试验数值模拟试验数值模拟试验数值模拟
    Sample 13.53.45.55.55.05.1
    Sample 24.74.74.74.74.64.6
    Sample 37.37.00000
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-01-05
  • 修回日期:  2023-02-17
  • 网络出版日期:  2023-03-29
  • 刊出日期:  2023-05-05

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