钽靶板在冲击下层裂过程的数值模拟

王云天 曾祥国 陈华燕 杨鑫 王放 祁忠鹏

王云天, 曾祥国, 陈华燕, 杨鑫, 王放, 祁忠鹏. 钽靶板在冲击下层裂过程的数值模拟[J]. 高压物理学报, 2021, 35(2): 024203. doi: 10.11858/gywlxb.20200634
引用本文: 王云天, 曾祥国, 陈华燕, 杨鑫, 王放, 祁忠鹏. 钽靶板在冲击下层裂过程的数值模拟[J]. 高压物理学报, 2021, 35(2): 024203. doi: 10.11858/gywlxb.20200634
WANG Yuntian, ZENG Xiangguo, CHEN Huayan, YANG Xin, WANG Fang, QI Zhongpeng. Numerical Simulation of Spalling Process of Tantalum Target under Impacts[J]. Chinese Journal of High Pressure Physics, 2021, 35(2): 024203. doi: 10.11858/gywlxb.20200634
Citation: WANG Yuntian, ZENG Xiangguo, CHEN Huayan, YANG Xin, WANG Fang, QI Zhongpeng. Numerical Simulation of Spalling Process of Tantalum Target under Impacts[J]. Chinese Journal of High Pressure Physics, 2021, 35(2): 024203. doi: 10.11858/gywlxb.20200634

钽靶板在冲击下层裂过程的数值模拟

doi: 10.11858/gywlxb.20200634
基金项目: 北京应用物理与计算数学研究所计算物理重点实验室基金重点项目(Hxo2020-74)
详细信息
    作者简介:

    王云天(1989-),男,博士研究生,主要从事冲击动力学研究. E-mail:iswangyt@163.com

    通讯作者:

    曾祥国(1960-),男,博士,教授,主要从事冲击动力学研究. E-mail:xiangguozeng@scu.edu.cn

  • 中图分类号: O382.3

Numerical Simulation of Spalling Process of Tantalum Target under Impacts

  • 摘要: 对平面冲击加载下延性金属钽的层裂行为开展了数值模拟研究。利用AUTODYN软件中的Lagrange与SPH求解模块,考察了3种本构模型Johnson-Cook、Steinberg-Cochran-Guinan与Zerilli-Armstrong的模拟结果,结合实验数据对模拟结果进行了验证;在此基础上,通过改变撞击速度与飞片厚度,获得了不同应变率下的自由面速度曲线,分析了不同应变率下的层裂特性。结果表明:在2.31×104~5.40×104 s−1应变率范围内,SPH求解器结合Steinberg-Cochran-Guinan本构模型的结果与实验数据具有较好的一致性;金属钽的层裂强度随拉伸应变率的增加而增大,在对数坐标系下近似呈线性关系;不同层裂强度计算方法得到的结果差异可达8%;随着拉伸应变率的增加,自由面速度回跳速率随之增长。最后,对自由面速度曲线中的特征参量的物理意义进行了解读。

     

  • 图  平板撞击实验原理及自由面速度曲线示意图

    Figure  1.  Theoretical illustration of the flat plate impact test and the schematic diagram of the free surface velocity curves

    图  306 m/s撞击速度下平板撞击模型与模拟结果

    Figure  2.  Configuration of the plate impact simulations and simulation results at 306 m/s

    图  不同模型的自由面速度曲线与实验数据[43]的对比(撞击速度306 m/s)

    Figure  3.  Comparison of free surface velocity profiles between different simulations andexperiment data[43] (impact velocity 306 m/s)

    图  不同速度下SCG-SPH模型模拟结果与实验数据对比

    Figure  4.  Comparison of SCG-SPH model simulation results and experimental data with different velocities

    图  数值模拟得到的不同加载情况下的自由面速度曲线

    Figure  5.  Numerical simulation of free surface velocity profiles with different loading conditions

    图  层裂强度与拉伸应变率的关系

    Figure  6.  Relationship between spall strength and tensile strain rate

    图  对数坐标下层裂强度与拉伸应变率的关系

    Figure  7.  Relationship between spall strength andtensile strain rate in logarithmic coordinates

    图  层裂强度与回跳速率的关系

    Figure  8.  Relationship between spall strength and bounce rate

    图  不同冲击压力下Hugoniot弹性极限

    Figure  9.  Hugoniot elastic limit under different impact pressures

    图  10  自由面速度曲线第一个极小值之后的速度曲线

    Figure  10.  Free surface velocity profiles afterthe first minimal speed

    图  11  应变率对钽样品回跳速率的影响

    Figure  11.  Influence of strain rate on bounce rate of tantalum samples

    表  1  JC模型参数[27]

    Table  1.   Parameters of Johnson-Cook model[27]

    MaterialA/MPaB/MPanCm
    Tantalum1421640.310.0570.88
    下载: 导出CSV

    表  2  ZA模型参数[22]

    Table  2.   Parameters of Zerilli-Armstrong model[22]

    MaterialC1/MPak1/(MPa·mm1/2)C2/MPaC3/(10−3 K−1)C4/(10−3 K−1)C5/MPan
    Tantalum1 125101785.350.3273100.44
    下载: 导出CSV

    表  3  SCG模型参数[21]

    Table  3.   Parameters of Steinberg-Cochran-Guinan model[21]

    MaterialG0/MPaY0/GPaYmax/GPa βn$G{_p}^{'}$$G{_T}^{'}/(\rm{MPa\text{·}K}{^{-1} } )$$T {\rm{_m}}/\rm{K} $
    Tantalum690.771.10100.11.005−8.974 340
    下载: 导出CSV

    表  4  Mie-Grüneisen状态方程参数[31]

    Table  4.   Parameters of Mie-Grüneisen equation of state[31]

    Material$\;\rho $0/(kg·m−3)C0/(m·s−1)S1$\gamma $
    Tantalum16 6903 3401.201.67
    下载: 导出CSV

    表  5  验证模型参数设置

    Table  5.   Parameter settings of simulation validation cases

    No.df/mmds/mmDs/mmv/(m·s−1)ModelModule
    V-013.004.9550.00306JCLagrange
    V-023.004.9550.00306JCSPH
    V-033.004.9550.00306ZALagrange
    V-043.004.9550.00306ZASPH
    V-053.004.9550.00306SCGLagrange
    V-063.004.9550.00306SCGSPH
    下载: 导出CSV

    表  6  层裂模型参数与结果

    Table  6.   Parameters of plate impact simulations and results

    No.df/mmv/(m·s−1)ps/GPa$\dot{\varepsilon } $/(104 s−1)${\sigma}{_{\rm{ {spall} } } } $/GPaumax/(m·s−1)${\dot{\varepsilon } }{_{\rm{ {r} } }}$/(104 s−1)
    S-012.003068.845.40 4.92304.123.57
    S-022.002507.054.694.70242.033.25
    S-033.0041012.253.924.14405.612.32
    S-043.003068.843.283.97305.621.74
    S-053.002106.192.683.71208.751.69
    S-064.003068.842.313.34298.191.34
    下载: 导出CSV

    表  7  不同计算层裂强度的公式得到的数据对比

    Table  7.   Comparison of data obtained by different formulas for calculating the fracture strength

    No.df/mmds/mmDs/mmv/(m·s−1)${\sigma }{_{\rm{ {spall} }}}$/GPa${\sigma }{_{\rm{ {m1} } }}$/GPa${\sigma }{_{\rm{ {m2} } }}$/GPa
    S-012.004.9550.003064.925.255.36
    S-022.004.9550.002504.715.025.32
    S-033.004.9550.004104.134.404.48
    S-043.004.9550.003063.974.234.32
    S-053.004.9550.002103.723.964.07
    S-064.004.9550.003063.353.573.58
    下载: 导出CSV

    表  8  不同撞击速度下层裂片厚度

    Table  8.   Spall scab thickness at different impact velocities

    No.df/mmds/mmv/(m·s−1)dsp/mm$\delta $/%
    S-012.004.953061.962.0
    S-022.004.952501.924.0
    S-033.004.954103.052.7
    S-043.004.953062.893.4
    S-053.004.952102.922.7
    S-064.004.953063.912.3
    下载: 导出CSV

    表  9  不同撞击速度下的Hugoniot弹性极限

    Table  9.   Hugoniot elastic limit at different impact velocities

    No.v/(m·s−1)ps/GPa$\sigma{_{\rm{HEL} }}$/GPa
    S-013068.841.96
    S-022507.051.89
    S-0341012.252.09
    S-043068.841.95
    S-052106.191.77
    S-063068.841.95
    下载: 导出CSV
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