Effects of Al Foam on Pressure Fields of Underwater Explosion
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摘要: 基于流体弹塑性模型，建立了描述泡沫铝在爆炸载荷下的冲击响应方程；采用Lagrange差分格式，在均匀网格上对方程进行了离散；编写数值计算程序，进行了药柱水下爆炸的一维数值计算，重点考虑了泡沫铝对水中爆炸冲击波分布的影响。结果表明，数值计算结果与实验数据、LS-DYNA模拟结果基本吻合，证明所建立的泡沫铝流体弹塑性本构方程可以用来描述泡沫铝的冲击响应行为，且泡沫铝对水中爆炸冲击波压力场的影响显著。Abstract: Within the framework of hydrodynamic-elastoplastic model, equations were established to characterize the response behaviors of aluminum foam under explosive impact.In order to solve the equations, the equations were transformed into discrete Lagrange difference forms in uniform grid.The numerical calculation method was programmed and applied to one-dimensional numerical calculation of underwater explosion and shock response of Al foam in the water.A good agreement is achieved between the numerical calculation, experiment data and results simulated by LS-DYNA-3D, which varified the feasibility of the proposed methodologies to be applied to describe the behaviors of Al foam under explosive impact.The thickness of foam material shell has great impact on the pressure field of underwater explosion.
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Key words:
- aluminum foam /
- underwater explosion /
- shock wave /
- peak pressure /
- finite difference
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图 1 药柱爆炸后水中不同位置处的压力-时间曲线
Figure 1. Pressure-time curves of shock wave at different locations in the water after explosion
图 3 冲击波经壁厚1.15 cm泡沫铝后在水中不同位置处的压力-时间曲线
Figure 3. Pressure-time curves of shock wave through the 1.15 cm-thick Al foam in the water
图 4 冲击波经壁厚2.15 cm泡沫铝后在水中不同位置处的压力-时间曲线
Figure 4. Pressure-time curves of shock wave through the 2.15 cm-thick Al foam in the water
图 5 压力峰值随距离变化的曲线(d=1.15 cm)
Figure 5. Curves of peak pressure versus distance (d=1.15 cm)
图 6 压力峰值随距离变化的曲线(d=2.15 cm)
Figure 6. Curves of peak pressure versus distance (d=2.15 cm)
表 1 PETN材料参数
Table 1. PETN material parameters
ρ/
(g/cm3)D/
(m/s)pH/
(GPa)k 0.88 5 170 6.2 2.5 
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表 2 泡沫铝材料参数
Table 2. Al foam material parameters
ρ/
(g/cm3)C0/
(m/s)λ γ G/
(MPa)Y/
(MPa)0.48 519 1.29 1.58 50 6.5
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表 3 距离药柱50 cm处不同方法所得峰值压力的比较
Table 3. Comparison between results ofpeak pressure at the distance of 50 cmaway from the grain center
FD Formula LS-DYNA Experiment 6.113 6.433 5.725 6.357
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