混凝土中带壳柱形装药爆炸应力波衰减规律的数值模拟

杨耀宗 孔祥振 方秦 洪智捷 高矗

杨耀宗, 孔祥振, 方秦, 洪智捷, 高矗. 混凝土中带壳柱形装药爆炸应力波衰减规律的数值模拟[J]. 爆炸与冲击, 2024, 44(11): 112202. doi: 10.11883/bzycj-2023-0342
引用本文: 杨耀宗, 孔祥振, 方秦, 洪智捷, 高矗. 混凝土中带壳柱形装药爆炸应力波衰减规律的数值模拟[J]. 爆炸与冲击, 2024, 44(11): 112202. doi: 10.11883/bzycj-2023-0342
YANG Yaozong, KONG Xiangzhen, FANG Qin, HONG Zhijie, GAO Chu. Numerical investigation on attenuation of stress waves in concrete induced by cylindrical cased charge explosion[J]. Explosion And Shock Waves, 2024, 44(11): 112202. doi: 10.11883/bzycj-2023-0342
Citation: YANG Yaozong, KONG Xiangzhen, FANG Qin, HONG Zhijie, GAO Chu. Numerical investigation on attenuation of stress waves in concrete induced by cylindrical cased charge explosion[J]. Explosion And Shock Waves, 2024, 44(11): 112202. doi: 10.11883/bzycj-2023-0342

混凝土中带壳柱形装药爆炸应力波衰减规律的数值模拟

doi: 10.11883/bzycj-2023-0342
基金项目: 国家自然科学基金(52178515)
详细信息
    作者简介:

    杨耀宗(1998- ),男,博士研究生,yyz542968@163.com

    通讯作者:

    孔祥振(1988- ),男,博士,副教授,ouckxz@163.com

  • 中图分类号: O385

Numerical investigation on attenuation of stress waves in concrete induced by cylindrical cased charge explosion

  • 摘要: 基于Kong-Fang混凝土材料模型和LS-DYNA中的多物质ALE算法,开展了CF120混凝土中带壳柱形装药爆炸波衰减规律的数值模拟研究:首先基于已有的柱形装药埋置爆炸试验,对数值算法和材料模型参数进行验证;在此基础上,通过定义长径比系数、壳厚比系数以及峰值应力耦合系数定量分析了装药形状、壳体厚度和埋深对峰值应力的影响规律;最后利用数值模拟数据拟合出混凝土中带壳柱形装药爆炸波峰值应力的计算公式。结果表明,带壳装药爆炸近区,长径比越大,峰值应力越大,远区则相反,且壳体越厚,峰值应力越大,但存在一个阈值;建立的爆炸波峰值应力计算公式可实现对不同长径比、不同壳体厚度和不同装药埋深的带壳柱形装药爆炸波峰值应力的快速预测。
  • 图  1  实验设置和有限元模型示意

    Figure  1.  Schematic of experiment setup and finite element model

    图  2  测点A应力时程曲线实验数据和数值模拟的对比

    Figure  2.  Comparison of stress-time histories between experimental data and numerical predictions of Gauge A

    图  3  靶体内部损伤破坏情况

    Figure  3.  Failure mode inside concrete target

    图  4  带壳装药爆炸的有限元模型和流体状态

    Figure  4.  Finite element model of cased charge explosion and the fluid state of each part

    图  5  装药正下方0.30~0.60 m/kg1/3范围内测点应力时程曲线

    Figure  5.  Stress-time histories of gauges at scaled distances varied from 0.30 to 0.60 m/kg1/3

    图  6  装药正下方峰值应力

    Figure  6.  Peak stress below the cylindrical charge

    图  7  长径比系数α的散点图和拟合曲线

    Figure  7.  Scatter plot and fitting curves of α

    图  8  不同壳体强度的峰值应力散点图

    Figure  8.  Peak stress for different shell strengths

    图  9  长径比为1的柱形装药正下方峰值应力散点图和拟合曲线

    Figure  9.  Scatter plot and fitting curve of peak stress below the cylindrical charge with the length-diameter ratio of 1

    图  10  带壳装药埋置爆炸的有限元模型示意图和流体状态示意图

    Figure  10.  Fnite element model of explosion of buried cased charge and the fluid state of each part

    图  11  不同相对埋深Dr下的峰值应力耦合系数f0

    Figure  11.  Coupling coefficient of peak stress (f0) at different relative buried depth (Dr)

    图  12  完全封闭爆炸工况和相对埋置深度为1的峰值应力对比

    Figure  12.  Comparison of peak stress between closed explosion and buried explosion with the relative buried depth of 1

    图  13  不同埋深下的长径比系数

    Figure  13.  Coefficient of length-to-diameter ratio α at different relative buried depth (Dr)

    图  14  埋深Dr对不同壳厚比t/d下峰值应力σm的影响

    Figure  14.  Affection of buried depth (Dr) on peak stress (σm) at different ratio of case-thickness to charge-diameter (t/d)

    图  15  壳厚比系数γ随埋深Dr变化

    Figure  15.  Relation between the coeffient of case-thickness to charge-diameter ratio (γ) and burid depth (Dr)

    表  1  柱形装药尺寸

    Table  1.   Size of cylindrical charge

    l/d l/m d/m l/d l/m d/m
    1 0.215 0.216 6 0.716 0.118
    2 0.346 0.170 8 0.862 0.108
    4 0.543 0.136 10 1.000 0.100
    下载: 导出CSV

    表  2  公式(5)参数取值

    Table  2.   Parameter values in Eq. (5)

    l/d k b c l/d k b c
    1 0 4 1 6 28.9×10−4 4 0.89
    2 3.63×10−4 4 0.98 8 54.5×10−4 4 0.86
    4 13.4×10−4 4 0.94 10 93.0×10−4 4 0.82
    下载: 导出CSV

    表  3  公式(6)参数取值

    Table  3.   Parameter values of Eq. (6)

    t/d S n t/d S n
    0 58.5 1.39 0.15 67.8 1.39
    0.05 63.1 1.39 0.20 69.0 1.39
    0.10 65.9 1.39
    下载: 导出CSV

    表  4  壳厚比系数取值

    Table  4.   Values of γ

    t/d 0 0.05 0.10 0.15 0.20
    γ 1.00 1.08 1.13 1.16 1.18
    下载: 导出CSV

    表  5  不同相对埋深下的峰值应力耦合系数$f_0 $(比例爆距范围0.47~1.0 m/kg1/3

    Table  5.   Coupling coefficient of peak stress ( f0) at different relative buried depth (Dr) within the range of 0.47−1.0 m/kg1/3

    Dr0.000.130.250.370.500.630.750.871.00
    f00.680.760.810.870.910.940.970.991.00
    下载: 导出CSV

    表  6  不同埋深$D_{\mathrm{r}} $下的壳厚比系数γ

    Table  6.   Coeffient of case-thickness to charge-diameter ratio (γ) at different burid depths (Dr)

    Dr γ
    t/d=0 t/d=0.05 t/d=0.10 t/d=0.15 t/d=0.20
    0 1 1.14 1.22 1.28 1.28
    0.13 1 1.13 1.22 1.28 1.3
    0.26 1 1.11 1.19 1.25 1.27
    0.37 1 1.10 1.16 1.21 1.23
    0.50 1 1.09 1.15 1.19 1.20
    0.63 1 1.08 1.13 1.17 1.18
    0.75 1 1.08 1.13 1.16 1.17
    0.87 1 1.08 1.13 1.16 1.17
    1.00 1 1.08 1.13 1.16 1.18
    下载: 导出CSV
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  • 收稿日期:  2023-09-15
  • 修回日期:  2024-05-15
  • 网络出版日期:  2024-05-16
  • 刊出日期:  2024-11-15

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