45钢柱壳爆炸膨胀断裂的SPH模拟分析

吴思思 董新龙 俞鑫炉

吴思思, 董新龙, 俞鑫炉. 45钢柱壳爆炸膨胀断裂的SPH模拟分析[J]. 爆炸与冲击, 2021, 41(10): 103101. doi: 10.11883/bzycj-2021-0172
引用本文: 吴思思, 董新龙, 俞鑫炉. 45钢柱壳爆炸膨胀断裂的SPH模拟分析[J]. 爆炸与冲击, 2021, 41(10): 103101. doi: 10.11883/bzycj-2021-0172
WU Sisi, DONG Xinlong, YU Xinlu. An investigating on explosive expanding fracture of 45 steel cylinders by SPH method[J]. Explosion And Shock Waves, 2021, 41(10): 103101. doi: 10.11883/bzycj-2021-0172
Citation: WU Sisi, DONG Xinlong, YU Xinlu. An investigating on explosive expanding fracture of 45 steel cylinders by SPH method[J]. Explosion And Shock Waves, 2021, 41(10): 103101. doi: 10.11883/bzycj-2021-0172

45钢柱壳爆炸膨胀断裂的SPH模拟分析

doi: 10.11883/bzycj-2021-0172
基金项目: 国家自然科学基金面上项目(11672143);国家自然科学基金重点项目(11932018)
详细信息
    作者简介:

    吴思思(1996- ),女,硕士研究生,597108926@qq.com

    通讯作者:

    董新龙(1964- ),男,博士,教授,博士生导师,dongxinlong@nbu.edu.cn

  • 中图分类号: O382

An investigating on explosive expanding fracture of 45 steel cylinders by SPH method

  • 摘要: 金属柱壳爆炸膨胀断裂存在拉伸、剪切及拉剪混合等多种断裂模式,目前其物理机制及影响因素还不清晰。本文中采用光滑粒子流体动力学方法(smoothed particle hydrodynamics, SPH)对45钢柱壳在JOB-9003及RHT-901不同装药条件下的外爆实验进行了数值模拟,探讨柱壳在不同装药条件下发生的剪切断裂、拉剪混合断裂模式及其演化过程,模拟结果与实验结果一致。SPH数值模拟结果表明:在爆炸加载阶段,随着冲击波在柱壳内、外壁间来回反射形成二次塑性区,沿柱壳壁厚等效塑性应变演化呈凸形分布,壁厚中部区域等效塑性应变较内、外壁大;在较高爆炸压力(JOB-9003)作用下,柱壳断裂发生在爆轰波加载阶段,损伤裂纹从塑性应变积累较大的壁厚中部开始沿剪切方向向内、外壁扩展,形成剪切型断裂模式;而在RHT-901空心炸药加载下,虽然裂纹仍从壁厚中部开始沿剪切方向扩展,但随后柱壳进入自由膨胀阶段,未断区域处于拉伸应力状态,柱壳局部发生结构失稳,形成类似“颈缩”现象,裂纹从剪切方向转向沿颈缩区向外扩展,呈现拉剪混合断裂模式。拉伸裂纹占截面的比例与柱壳结构失稳时刻相关。可见,柱壳断裂演化是一个爆炸冲击波与柱壳结构相互作用的过程,不能简单将其作为一系列膨胀拉伸环处理。
  • 图  1  数值计算SPH模型

    Figure  1.  SPH model with different explosive charges

    图  2  JOB9003炸药加载下柱壳膨胀断裂过程

    Figure  2.  Expanding fracture process of the explosively-driven cylindrical shell by JOB9003 charge

    图  3  柱壳外表面径向膨胀速度

    Figure  3.  The radial expanding velocity of the outer surface of cylindrical shell

    图  4  RHT-901空心炸药作用下不同R/h的柱壳膨胀断裂过程模拟结果

    Figure  4.  Simulation results on fracture process of the cylindrical shell with different R/h under RHT-901 charge

    图  5  JOB-9003炸药加载下45钢柱壳的爆炸压力、膨胀及断裂演化过程

    Figure  5.  The explosive pressure, expanding deformation and fracture for 45# steel cylindrical shellwith JOB-9003 charge

    图  6  RHT-901加载下5 mm壁厚柱壳的爆炸压力、膨胀及断裂过程

    Figure  6.  Explosive pressure, expanding deformation and fracture for 45 steel cylindrical shell (h = 5 mm) with RHT-901 charge

    图  7  RHT-901加载下4 mm壁厚柱壳的爆炸压力及断裂演化过程

    Figure  7.  Explosive pressure, fracture process for 45 steel cylindrical shell (h= 4mm) with RHT-901

    表  1  实验柱壳、加载条件及爆炸膨胀断裂实验结果[8]

    Table  1.   1The fracturecharacteristics and failure modes of 45 steel cylindersunder different explosive conditions and geological parameters[8]

    炸药药柱尺寸 试样尺寸 爆炸膨胀断裂实验结果
    外径R/mm内径r/mm内径R/mm壁厚h/mm$ {\varepsilon }_{\mathrm{c}} $$ {t}_{\mathrm{c}}/ $µs$ {\varepsilon }_{\mathrm{f}} $$ {t}_{\mathrm{f}}/ $µs$ \dot{\varepsilon }/{\mathrm{s}}^{-1} $断裂模式
    JOB-9003(实心)20 02040.407.51.3119.57.1×104纯剪切
    RHT-901(空心)30203040.248.80.4315.42.9×104拉剪混合
    5 0.187.80.3715.82.5×104拉剪混合
    下载: 导出CSV

    表  2  45钢柱壳本构参数数值[25]

    Table  2.   Constitutive parameters of 45 steel[25]

    Johnson-Cook模型Gr$ \ddot{\mathrm{u}} $neison状态方程
    A/MPaB/MPanmC$\dot{ {\varepsilon }_{0} } /{\mathrm{s} }^{-1}$c/(m·s−1)s$ {\gamma }_{0} $
    3506000.3070.8040.072×10-446001.49$ 2.17 $
    下载: 导出CSV

    表  3  炸药JWL本构方程相关参数[26]

    Table  3.   JWL EOS parameter of thecharges[26]

    炸药A/GPaB/GPaωR1R2E0/(GJ·m−3pcj/GPaρ/(kg·m−3D/(m·s−1
    JOB-9003842.021.810.284.61.351.03518848740
    RHT-901503.09.0650.354.31.107.62716587800
    下载: 导出CSV

    表  4  SPH数值模拟与实验结果比较

    Table  4.   Comparison betwwen SPH simulation and experimental results

    炸药内径R/mm壁厚h/mm方法$ {\varepsilon }_{\mathrm{c}} $tc/µs$ {\varepsilon }_{\mathrm{r}} $tr/µs$ {\varepsilon }_{\mathrm{f}} $tf/µs$ \dot{\varepsilon } $$ /{\mathrm{s}}^{-1} $断裂模式
    JOB-9003204实验0.40 7.51.3119.57.1×104双向剪切
    模拟0.377.30.37 7.31.0717.27.1×104双向剪切
    RHT-901304实验0.248.80.4315.42.9×104拉剪混合
    模拟0.3013.1 0.3113.50.4117.32.7×104拉剪混合
    5实验0.187.80.3715.82.5×104拉剪混合
    模拟0.2111.9 0.2312.80.3016.12.1×104拉剪混合
    下载: 导出CSV
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  • 收稿日期:  2021-05-06
  • 修回日期:  2021-06-03
  • 网络出版日期:  2021-09-24
  • 刊出日期:  2021-10-13

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