Volume 43 Issue 5
May  2023
Turn off MathJax
Article Contents
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

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

doi: 10.11883/bzycj-2023-0006
  • Received Date: 2023-01-05
  • Rev Recd Date: 2023-02-17
  • Available Online: 2023-03-29
  • Publish Date: 2023-05-05
  • In order to obtain the material constitutive model parameters of polymethyl methacrylate (PMMA) in the numerical simulation of explosive cutting, and to avoid the multiple tests required by the traditional method of obtaining the material constitutive model parameters, a neural network-based inversion method of the Johnson Holmquist Ceramics (JH-2) constitutive model parameters of PMMA was established. Firstly, a 2.5-mm-wide linear shaped charge was used to cut 14 mm PMMA flat plate, and the results of the explosive cutting test were analyzed to classify and quantify the damage of PMMA flat plate into three kinds of damage data: penetration depth, impact fracture thickness and spallation damage thickness. Based on the empirical parameters of the JH-2 constitutive model obtained from the explosive cutting experiments and existing studies, the adjustment interval of the constitutive model parameters was determined. LS-DYNA was used to simulate the process of cutting 14 mm PMMA flat plate with 2.5 mm wide linear shaped charge and to collect a flat plate damage data set containing the three kinds of damage data. A neural network model between the parameters of the PMMA flat plate constitutive model and the damage data was developed, and the model was trained using the plate damage data set. The inversion of the JH-2 constitutive model parameters of the PMMA flat plate was performed by the trained neural network model. In order to verify the reliability of the parameters obtained by the inversion method, a 4.2 mm wide linear shaped charge cutting 19 mm PMMA flat plate experiments and finite element numerical simulation were conducted, and the fracture characteristics and damage data of the PMMA flat plate in the calculation results were less different from the experiment results, indicating that the JH-2 constitutive model parameters obtained by the inversion can be better applied to PMMA flat plate explosive cutting numerical simulation. The parameter inversion method can obtain more accurate material constitutive model parameters with less experiments and tests than the traditional material parameter acquisition method.
  • loading
  • [1]
    LI J X, LIU P F, TONG X Y. A simplified method for studying cyclic creep behaviors of deep-sea manned submersible viewport windows [J]. International Journal of Pressure Vessels and Piping, 2021, 194: 104565. DOI: 10.1016/j.ijpvp.2021.104565.
    [2]
    DAR U A, ZHANG W H, XU Y J. Numerical implementation of strain rate dependent thermo viscoelastic constitutive relation to simulate the mechanical behavior of PMMA [J]. International Journal of Mechanics and Materials in Design, 2014, 10(1): 93–107. DOI: 10.1007/s10999-013-9233-y.
    [3]
    KANG Y Q, LI Y, XIAO C L, et al. Fractal damage and crack propagation of PMMA in multiple slit charge blasting [J]. Materials Today Communications, 2022, 31: 103249. DOI: 10.1016/j.mtcomm.2022.103249.
    [4]
    SAHRAOUI S, EL MAHI A, CASTAGNÈDE B. Measurement of the dynamic fracture toughness with notched PMMA specimen under impact loading [J]. Polymer Testing, 2009, 28(7): 780–783. DOI: 10.1016/j.polymertesting.2009.06.005.
    [5]
    谢中秋, 张蓬蓬. PMMA材料的动态压缩力学特性及应变率相关本构模型研究 [J]. 实验力学, 2013, 28(2): 220–226. DOI: 10.7520/1001-4888-12-054.

    XIE Z Q, ZHANG P P. On the dynamic compressive mechanical properties and strain rate related constitutive model of PMMA material [J]. Journal of Experimental Mechanics, 2013, 28(2): 220–226. DOI: 10.7520/1001-4888-12-054.
    [6]
    DOROGOY A, GODINGER A, RITTEL D. Application of the incubation time criterion for dynamic brittle fracture [J]. International Journal of Impact Engineering, 2018, 112: 66–73. DOI: 10.1016/j.ijimpeng.2017.09.019.
    [7]
    RITTEL D, DOROGOY A. Impact of thick PMMA plates by long projectiles at low velocities. Part Ⅰ: Effect of head’s shape [J]. Mechanics of Materials, 2014, 70: 41–52. DOI: 10.1016/j.mechmat.2013.11.010.
    [8]
    邹德波, 赵铮. 冲击强度对爆炸切割脆性材料的影响研究 [J]. 兵器装备工程学报, 2021, 42(8): 100–105. DOI: 10.11809/bqzbgcxb2021.08.016.

    ZOU D B, ZHAO Z. Study on influence of impact strength on explosive cutting of brittle materials [J]. Journal of Ordnance Equipment Engineering, 2021, 42(8): 100–105. DOI: 10.11809/bqzbgcxb2021.08.016.
    [9]
    李木易, 邹德波, 赵铮. 下方介质对爆炸切割脆性平板的影响研究 [J]. 爆破器材, 2021, 50(5): 43–49. DOI: 10.3969/j.issn.1001-8352.2021.05.008.

    LI M Y, ZOU D B, ZHAO Z. Influence of the underlying medium on explosive cutting of brittle plates [J]. Explosive Materials, 2021, 50(5): 43–49. DOI: 10.3969/j.issn.1001-8352.2021.05.008.
    [10]
    熊益波, 陈剑杰, 胡永乐, 等. 混凝土Johnson-Holmquist本构模型关键参数研究 [J]. 工程力学, 2012, 29(1): 121–127.

    XIONG Y B, CHEN J J, HU Y L, et al. Study on the key parameters of the Johnson-Holmquist constitutive model for concrete [J]. Engineering Mechanics, 2012, 29(1): 121–127.
    [11]
    石祥超, 陶祖文, 孟英峰, 等. 致密砂岩Johnson-Holmquist损伤本构模型参数求取及验证 [J]. 岩石力学与工程学报, 2015, 34(S2): 3750–3758. DOI: 10.13722/j.cnki.jrme.2015.0515.

    SHI X C, TAO Z W, MENG Y F, et al. Calculation and verification for Johnson-Holmquist constitutive model parameters of tight sandstone [J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(S2): 3750–3758. DOI: 10.13722/j.cnki.jrme.2015.0515.
    [12]
    贠永峰, 范永慧, 孙扬. 基于BP神经网络的隧道围岩力学参数反分析方法 [J]. 沈阳建筑大学学报(自然科学版), 2011, 27(2): 292–306.

    YUN Y F, FAN Y H, SUN Y. Back-analysis of mechanical parameters of tunnel surrounding rock by BP neural network method [J]. Journal of Shenyang Jianzhu University (Natural Science), 2011, 27(2): 292–306.
    [13]
    李守巨, 于申, 孙振祥, 等. 基于神经网络的堆石料本构模型参数反演 [J]. 计算机工程, 2014, 40(6): 267–271. DOI: 10.3969/j.issn.1000-3428.2014.06.057.

    LI S J, YU S, SUN Z X, et al. Parameter inversion of constitutive model for rockfill material based on neural network [J]. Computer Engineering, 2014, 40(6): 267–271. DOI: 10.3969/j.issn.1000-3428.2014.06.057.
    [14]
    宋宇宁. 有限元响应面法在土石坝可靠度分析中的应用 [D]. 大连: 大连理工大学, 2021: 14–20. DOI: 10.26991/d.cnki.gdllu.2021.002838.
    [15]
    王志云, 李守巨, 王颂. 混凝土细观本构模型参数反演的估计方法 [J]. 黑龙江科技大学学报, 2019, 29(2): 225–229. DOI: 10.3969/j.issn.2095-7262.2019.02.019.

    WANG Z Y, LI S J, WANG S. Parameter estimation procedure for meso constitutive model of concrete materials [J]. Journal of Heilongjiang University of Science and Technology, 2019, 29(2): 225–229. DOI: 10.3969/j.issn.2095-7262.2019.02.019.
    [16]
    茹一帆, 张乐乐, 刘文, 等. 基于缺口试件应力状态试验的Johnson-Cook模型参数反演标定方法 [J]. 机械工程学报, 2021, 57(22): 60–70. DOI: 10.3901/JME.2021.22.060.

    RU Y F, ZHANG L L, LIU W, et al. Inverse determination method of Johnson-Cook model parameters based on the stress state test of notched specimens [J]. Journal of Mechanical Engineering, 2021, 57(22): 60–70. DOI: 10.3901/JME.2021.22.060.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(11)  / Tables(7)

    Article Metrics

    Article views (319) PDF downloads(60) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return