Experimental and numerical investigation of zirconium jet performance with different liner shapes design

This paper studies the shaped charge jet performance in terms of different liner shapes including conical,bell,hemispherical and bi-conical liners.The critical angles and the relevant flow velocities for the zir-conium liner material were calculated analytically and numerically using Autodyn hydro-code.The relationship between the critical collapse angle and the flow velocity was determined for the conditions of jet formation and coherency.Penetration tests according to the standard testing procedures of API-RP34 (Section-Ⅱ) were performed to validate the numerical predictions of the jet performance of the studied liners.It was found that the four shaped charge liners all produced coherent jets with different performances.The penetration depth of the shaped charges with the bell and the bi-conical liner shapes increased by 10.3％ and 22％,respectively,while the crater diameter of shaped charge with hemispherical liner increased by 85％ representing the formation of an explosively-formed-projectile (EFP),when they are compared with the corresponding jet characteristics of a conical liner shaped charge.     

聚能射流形成过程的理论建模与分析

分析了聚能射流的形成过程,并对其中的各阶段进行了详细建模。在模型中考虑了炸药爆轰、金属的驱动、药型罩压垮以及射流和杵体的形成过程。采用该模型对某一聚能装药结构进行了计算,计算结果表明:药型罩顶部和底部微元的压垮速度较小,在射流头部形成反向速度梯度,与试验数据吻合较好。该模型对于多级侵彻战斗部的工程设计与侵彻参数的计算具有一定的参考价值。     

Influence of shaped charge structure parameters on the formation of linear explosively formed projectiles

The research of LEFP (linear explosive forming projectile) is of great value to the development of new warhead due to its excellent performance. To further improve the damage ability of the shaped charge warhead, a special shell overhanging structure was designed to increase the charge based on the traditional spherical charge, in which case the crushing energy of LEFP could be guaranteed. LS-DYNA was used to simulate different charge structures obtained by changing the number of detonation points, the length of shell platform, the radius of curvature and the thickness of liner. The RSM (response surface model) between the molding parameters of LEFP and the structural parameters of charge was established. Based on RSM model, the structure of shaped charge was optimized by using multi-objective genetic algorithm. Meanwhile, the formation process of jet was analyzed by pulsed X-ray photography. The results show that the velocity, length-diameter ratio and specific kinetic energy of the LEFP were closely related to the structural parameters of the shaped charge. After the optimization of charge structure, the forming effect and penetration ability of LEPP had been significantly improved. The experimental data of jet velocity and length were consistent with the numerical results, which verifies the reliability of the numerical results.     

多孔材料药型罩聚能射流的形成条件

依据Herrmann状态方程和斜冲击波关系估算了多孔材料药型罩压垮之前的冲击温升,求解了经过冲击压缩卸载后材料的声速。给出了多孔材料药型罩聚能射流的形成条件。初始冲击温升会使材料的声速和强度降低,从而使多孔材料聚能射流形成射流的高速和低速条件降低。     

Effect of wave shaper on reactive materials jet formation and its penetration performance

Wave shaper effect on formation behavior and penetration performance of reactive liner shaped charge (RLSC) are investigated by experiments and simulations. The reactive materials liner with a density of 2.3 g/cm³ is fabricated by cold pressing at a pressure of 300 MPa and sintering at a temperature of 380 °C. Experiments of the RLSC with and without wave shaper against steel plates are carried out at standoffs of 0.5, 1.0, and 1.5 CD (charge diameter), respectively. The experimental results show that the penetration depths and structural damage effects of steel plates decrease with increasing the standoff, while the penetration depths and the damage effects of RLSC without wave shaper are much greater than that with wave shaper at the same standoff. To understand the unusual experimental results, numerical simulations based on AUTODYN-2D code are conducted to discuss the wave shaper effect, including the propagation behavior of detonation wave, the velocity and temperature distribution of reactive jet, and penetration depth of reactive jet. The simulations indicate that, compared with RLSC without wave shaper, there is a higher temperature produced inside reactive jet with wave shaper. This unusual temperature rise effects are likely to be an important mechanism to cause the initiation delay time of reactive jet to decline, which results in significantly decreasing its penetration performance.     

A study on the surface overpressure distribution and formation of a double curvature liner under a two-point initiation

The formation mechanism of an EFP(explosively formed projectile) using a double curvature liner under the overpressure effect generated by a regular oblique reflection was investigated in this paper.Based on the detonation wave propagation theory,the change of the incident angle of the detonation wave collision at different positions and the distribution area of the overpressure on the surface of the liner were calculated.Three-dimensional numerical simulations of the formation process of the EFP with tail as well as the ability to penetrate 45# steel were performed using LS-DYNA software,and the EFP ve-locity,the penetration ability,and the forming were assessed via experiments and x-ray photographs.The experimental results coincides with those of the simulations.Results indicate that the collision of the detonation wave was controlled to be a regular oblique reflection acting on the liner by setting the di-mensions of the unit charge and maintaining the pressure at the collision point region at more than 2.4 times the CJ detonation when the incident angle approached the critical angle.The distance from the liner midline to the boundary of the area within which the pressure ratio of the regular oblique reflection pressure to the CJ detonation pressure was greater than 2.5,2,and 1.5was approximately 0.66 mm,1.32 mm,and 3.3 mm,respectively.It is noted that pressure gradient caused the liner to turn inside out in the middle to form the head of the EFP and close the two tails of the EFP at approximately 120μs.The penetration depth of the EFP into a 45# steel target exceeded 30 mm,and there was radial expansion between the head and tail of the EFE increasing the penetration resistance of the EFP.Therefore,the structural size of the unit charge and the liner can be further optimized to reduce resistance to increase the penetration ability of the EFP.     

横向运动板干扰聚能射流的数值模拟

基于有限元分析软件ANSYS/LS-DYNA和LS-PREPOST,用ALE算法对射流垂直侵彻横向运动防护板的过程进行模拟分析。防护板在不同速度下干扰射流时,对防护板和后效板上的开坑形状进行分析,并计算后效板上的最终侵深及射流轴线上的速度降,得到射流在横向防护板作用下后效板侵深及射流轴线上的速度降随防护板速度变化的曲线。结果表明,防护板抗射流侵彻能力随防护板速度的增加而增强,尤其是防护板横向速度在0～100m/s增加时,抗射流侵彻能力增强较为明显。     

Shaped charge penetration into high- and ultrahigh-strength Steel–Fiber reactive powder concrete targets

Experiments on shaped charge penetration into high and ultrahigh strength steel-fiber reactive powder concrete (RPC) targets were performed in this paper. Results show that the variation of penetration depth and crater diameter with concrete strength is different from that of shaped charge penetration into normal strength concrete (NSC). The crater diameter of RPC is smaller than that of NSC penetrated by the shaped charge. The jet particles are strongly disturbed and hardly reach the crater bottom because they pass through the narrow channel formed by jet penetration into the RPC. The effects of radial drift velocity and gap effects of jet particles for a shaped charge penetration into RPC target are discussed. Moreover, a theoretical model is presented to describe the penetration of shaped charge into RPC target. As the concrete strength increases, the penetration resistance increases and the entrance crater diameter decreases. Given the drift velocity and narrow crater channel, the low-velocity jet particles can hardly reach the crater bottom to increase the penetration depth. Moreover, the narrow channel has a stronger interference to the jet particles with increasing concrete strength; hence, the gap effects must be considered. The drift velocity and gap effects, which are the same as penetration resistance, also have significant effects during the process of shaped charge penetration into ultrahigh-strength concrete. The crater profiles are calculated through a theoretical model, and the results are in good agreement with the experiments.     

Reaction characteristic of PTFE/Al/Cu/Pb composites and application in shaped charge liner

In this paper, the reaction characteristic and its application in shaped charge warhead of a novel reactive material, which introduced copper (Cu) and plumbum (Pb) into traditional polytetrafluoroethylene/aluminum (PTFE/Al), are studied. The thermal analysis and chemical reaction behavior of the PTFE/Al/Cu/Pb mixture are investigated by Differential Scanning Calorimetry (DSC),Thermo-gravimetry (TG), and X-ray Diffraction (XRD) techniques. Then, the shaped charge liners with PTFE/Al/Cu/Pb reactive materials are fabricated, and the X-ray experiments show that they could form reactive jets with excellent performance under the detonation effects of the shaped charge. Based on that, the penetration experiments of shaped charge with PTFE/Al/Cu/Pb reactive liner against steel plates are carried out, and the results demonstrate that the PTFE/Al/Cu/Pb reactive jets could produce a deeper penetration depth compared to the traditional PTFE/Al reactive jets. Meanwhile, the PTFE/Al/Cu/Pb reactive jets also show significant inner-blast effects, leading to dramatically cracking or fragmentation behavior of the penetrated steel plates. This new PTFE/Al/Cu/Pb reactive liner shaped charge presents enhanced penetration behavior for steel targets that incorporates the penetration capability of a high-density and ductility jet, and the chemical energy release of PTFE-matrix reactive materials.     

Chain damage effects of multi-spaced plates by reactive jet impact

Chain damage is a new phenomenon that occurs when a reactive jet impacts and penetrates multi-spaced plates.The reactive jet produces mechanical perforations on the spaced plates by its kinetic energy(KE),and then results in unusual chain rupturing effects and excessive structural damage on the spaced plates by its deflagration reaction.In the present study,the chain damage behavior is initially demonstrated by experiments.The reactive liners,composed of 26 wt％Al and 74 wt％PTFE,are fabricated through a pressing and sintering process.Three reactive liner thicknesses of 0.08 CD,0.10 CD and 0.12 CD(charge diameter)are chosen to carry out the chain damage experiments.The results show a chain rupturing phenomenon caused by reactive jet.The constant reaction delay time and the different penetration velocities of reactive jets from liners with different thicknesses result in the variation of the deflagration position,which consequently determines the number of ruptured plates behind the armor.Then,the finite-element code AUTODYN-3D has been used to simulate the kinetic energy only-induced rupturing effects on plates,based on the mechanism of behind armor debris(BAD).The significant discrepancies between simulations and experiments indicate that one enhanced damage mechanism,the behind armor blast(BAB),has acted on the ruptured plates.Finally,a theoretical model is used to consider the BAB-induced enhancement,and the analysis shows that the rupturing area on aluminum plates depends strongly upon the KE only-induced pre-perforations,the mass of reactive materials,and the thickness of plates.     

Investigation of normal,lateral, and oblique impact of microscale projectiles into unidirectional glass/epoxy composites

Spacesuits and spacecraft must endure high velocity impacts from micrometeoroids. This work considers the impact of 100 μm diameter projectiles into composite targets at velocities from 0.5 km/s to 2 km/s. This work begins by presenting an energy-based theoretical model relating depth of penetration (DoP) and impact force to impact velocity, characteristic time, and threshold velocity and force. Next, this work compares numerical simulations of normal impact on composites to the theoretical model. Numerical simulations are conducted with LS-DYNA and the well-known composite model, MAT-162. The numerical models consider unidirectional S2-glass fiber reinforced SC-15 epoxy composite laminates. The numerical model shows good correlation with the theoretical model. The numerical model also investigates lateral impact, parallel to the fiber direction, and oblique impact at angles from 30° to 82.5°. This work decomposes oblique impact into normal and lateral components, and compares them with normal and lateral impact results. The results show good correlation of the normal component of oblique results with the theoretical model. This numerical and theoretical study focuses on DoP, velocity, and penetration resistance force as functions of time. The theoretical model and numerical simulations are used to determine new DoP parameters: characteristic time of depth of penetration and threshold impact velocity. These models are a first step in developing the capability to predict DoP for oblique, microscale, high-speed impact on composite materials.     

Formation and impact-induced separation of tandem EFPs

The formation and separation behaviors of tandem EFPs are studied by the combination of experiments and simulations. The results show that different formation and separation processes can be obtained by adjusting the double-layer liners, and simulations agree with experiments well. Then, the interaction process between the two liners is discussed in details, and the formation and separation mechanism are revealed. It can be found that there are four phases in the formation and separation processes, including impact phase, propulsion phase, slide phase and free flight phase. During the impact phase, the velocities of two liners rise in turns with kinetic energy exchange. In the propulsion phase, the axial impact becomes insignificant, but the radial interaction between two liners influences the appearance of tandem EFPs. Meanwhile, it should be mentioned that the inner surface of foregoing EFP remains to be in contact with the outer surface of following EFP in the propulsion phase, and the following one would continue to push the foregoing one for about 10μ to 20 μs, causing the velocities of following and foregoing EFPs gradually decreasing and increasing respectively. In the slide phase, an obvious relative movement occurs between the two EFPs, and there would be barely kinetic energy exchange. Then, the two EFPs separate gradually and get into the phase of free flight. Generally, if the outer and inner liners have the same thickness, the outer copper-inner copper liners form two long EFPs, the outer copper-inner steel liners become a foregoing short steel EFP and a following long copper EFP, and the outer steel-inner copper liners produce a foregoing long copper EFP and a following conical steel EFP. In addition, thickness match also has an important impact on formation appearance and separation process for both outer copper-inner copper liners and outer steel-inner copper liners. With the thickness ratio of outer liner to inner liner decreasing, the length and length-diameter ratio of both foregoing and following EFPs increase gradually.     

Analysis on the resistive force in penetration of a rigid projectile

According to the dimensionless formulae of DOP (depth of penetration) of a rigid projectile into different targets, the resistive force which a target exerts on the projectile during the penetration of rigid projectile is theoretically analyzed. In particular, the threshold V_c of impact velocity applicable for the assumption of constant resistive force is formulated through impulse analysis. The various values of V_c corresponding to different pairs of projectile-target are calculated, and the consistency of the relative test data and numerical results is observed.     

泵喷宽带非定常激振力预报与参数分析

为预报泵喷推进器转子与湍流互作用宽频非定常激振力,在Sears函数的基础上,考虑随机湍流波的影响,推导了螺旋桨宽频非定常激振力预报公式,并与实验值对比验证了该公式。进一步考虑泵喷推进器转子工作在前导叶尾流场的情况,通过Gauss尾流模型建立叶片尾流湍流波数谱,通过经验公式计算叶片尾流场参数。推导得到泵喷推进器转子宽频非定常激振力预报公式,通过公式计算得到的宽频非定常激振力与数值计算结果相近。分析了流场参数的变化对推进器转子宽频辐射噪声预报结果的影响。研究得到,湍流强度只影响宽频非定常激振力预报结果的幅值,湍流积分尺度对幅值和频谱形状都有较大的影响。     

Influence of a liquid-filled compartment structure on the incoming shaped charge jet stability

Liquid-filled compartment structure consists of a bulk steel plate with matrix blind holes which are filled with liquid and a steel front plate to seal up the liquid with rings and bolts.The liquid-filled compart-ment structure can resist the shaped charge warhead effectively.This paper presents experimental and theoretical investigations of the penetration ability of the residual shaped charge jet emerging from the liquid-filled compartment structure after the penetration process at different impact angles.On the basis of shock wave propagation theory,the influence of the liquid-filled compartment structure on jet sta-bility is analysed.The interferences of the liquid backflow caused by a reflected shock wave and a back plate on jet stability under different impact angles are also examined.In addition,the range of the disturbed velocity segments of the jet at different impact angles and the penetration ability of the re-sidual jet are obtained.A theoretical model is validated against the experimental penetration depths.     

金属射流欧姆加热效应的影响因素分析

为探究影响金属射流欧姆加热效应的因素,在被动电磁装甲系统等效电路模型的基础上,根据虚拟源点理论建立金属射流的作用时间模型,进一步明确金属射流在侵彻被动电磁装甲过程中每部分射流微元的作用时间;结合金属射流的比作用量模型,利用Matlab软件对金属射流的电流和比作用量波形随被动电磁装甲系统的电感、电容、电阻和充电电压的变化规律进行数值分析．仿真结果表明：随着系统电感的减小、电阻的减小、电容的增大和充电电压的增大,金属射流比作用量的峰值增大,有利于射流发生电爆炸．     

2种结构驱动线圈对电枢受力的影响

介绍了电磁同步线圈驱动器工作原理,并利用有限元分析软件ANSYS建立驱动线圈的三维模型。在不同结构的驱动线圈的驱动下,分别对电枢所受电磁力进行仿真,得到电枢在不同情况下的受力变化规律;在加载情况完全一致的情况下,对比不同结构的驱动线圈对电枢的作用力,得出2层驱动线圈对电枢综合作用效果较好的结论。     

钢管在冲击荷载作用下的变形与失效破坏

为研究钢管在弹体侵彻过程中的变形特点,基于ANSYS/LS-DYNA软件,采用Johnson-Cook模型,模拟了半球形弹体以不同速度正向冲击钢管时的非线性动力响应情况。结果表明：弹体速度越小,钢管的抗侵彻性能越好;弹体速度越接近临界破坏速度,钢管降低弹体速度的能力就越明显;弹体冲击钢管时,钢管上表面比下表面更容易产生大变形,消耗更多的弹体动能,并在抗侵彻过程中伴有局部凹陷、蝶形变形和贯穿现象。实验结果可为圆柱壳结构钢管在冲击荷载作用下的耗能分析提供参考。     

Long-rod penetration: the transition zone between rigid and hydrodynamic penetration modes

Long-rod penetration in a wide range of velocity means that the initial impact velocity varies in a range from tens of meters per second to several kilometers per second. The long rods maintain rigid state when the impact velocity is low, the nose of rod deforms and even is blunted when the velocity gets higher, and the nose erodes and fails to lead to the consumption of long projectile when the velocity is very high due to instantaneous high pressure. That is, from low velocity to high velocity, the projectile undergoes rigid rods, deforming non-erosive rods, and erosive rods. Because of the complicated changes of the projectile, no well-established theoretical model and numerical simulation have been used to study the transition zone. Based on the analysis of penetration behavior in the transition zone, a phenomenological model to describe target resistance and a formula to calculate penetration depth in transition zone are proposed, and a method to obtain the boundary velocity of transition zone is determined. A combined theoretical analysis model for three response regions is built by analyzing the characteristics in these regions. The penetration depth predicted by this combined model is in good agreement with experimental result.     

3种不同形状电枢对线圈炮发射性能影响的仿真分析

分析电磁线圈炮基本原理,建立单级感应线圈炮数学模型,并借助Matlab仿真软件,对3种不同形状（锥体、半球体和圆柱体）电枢的线圈炮进行仿真。分别得到电枢与驱动线圈之间互感与互感梯度的相对位置变化曲线、电枢内涡流分布及随时间变化曲线,3种发射器在同一坐标下的射弹电磁力-时间和速度-时间变化曲线。通过对比分析,确定了线圈炮合理的电枢形状,为线圈炮的系统结构设计奠定了基础。