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.     

Damage visualization and deformation measurement in glass laminates during projectile penetration

Transparent armor consists of glass-polymer laminates in most cases. The formation and propagation of damage in the different glass layers has a strong influence on the ballistic resistance of such laminates. In order to clarify the course of events during projectile penetration, an experimental technique was developed, which allows visualizing the onset and propagation of damage in each single layer of the laminate. A telecentric objective lens was used together with a microsecond video camera that allows recording 100 frames at a maximum rate of 1 MHz in a backlit photography set-up. With this technique, the damage evolution could be visualized in glass laminates consisting of four glass layers with lateral dimensions 500 mm × 500 mm. Damage evolution was recorded during penetration of 7.62 mm AP projectiles with tungsten carbide core and a total mass of 11.1 g in the impact velocity range from 800 to 880 m/s. In order to measure the deformation of single glass plates within the laminates, a piece of reflecting tape was attached to the corresponding glass plate, and photonic Doppler velocimetry (PDV) was applied. With the photonic Doppler velocimeter, an infrared laser is used to illuminate an object to be measured and the Doppler-shifted light is superimposed to a reference light beam at the detector. The simultaneous visualization and PDV measurement of the glass deformation allow determining the deformation at the time of the onset of fracture. The analysis of the experimental data was supported by numerical simulations, using the AUTODYN commercial hydro-code.     

Theoretical and numerical simulation study on jet formation and penetration of different liner structures driven by electromagnetic pressure

The use of a shaped liner driven by electromagnetic force is a new means of forming jets. To study the mechanism of jet formation driven by electromagnetic force, we considered the current skin effect and the characteristics of electromagnetic loading and established a coupling model of"Electric—Magnetic—Force"and the theoretical model of jet formation under electromagnetic force. The jet formation and penetration of conical and trumpet liners have been calculated. Then, a numerical simulation of liner collapse under electromagnetic force, jet generation, and the stretching motion were performed using an ANSYS multiphysics processor. The calculated jet velocity, jet shape, and depth of penetration were consistent with the experimental results, with a relative error of less than 10％. In addition, we calculated the jet formation of different curvature trumpet liners driven by the same loading condition and ob-tained the influence rule of the curvature of the liner on jet formation. Results show that the theoretical model and the ANSYS multiphysics numerical method can effectively calculate the jet formation of liners driven by electromagnetic force, and in a certain range, the greater the curvature of the liner is, the greater the jet velocity is.     

破片对军用方舱的冲击毁伤效应研究

基于薄板的极限穿透速度及破片穿透薄板的余速理论,就破片对军用方舱的冲击毁伤效应进行深入分析．通过理论计算,得到圆柱形破片穿透方舱后的剩余速度．在AUTODYN中构建模型,对圆柱形破片穿透方舱的过程进行数值模拟,其结果表明,数值模拟结果与理论计算的误差较小,证明该模型的可靠性．     

Interface defeat studies of long-rod projectile impacting on ceramic targets

The interface defeat phenomenon always occurs when a long-rod projectile impacting on the ceramic target with certain velocity, i.e., the projectile is forced to flow radially on the surface of ceramic plates for a period of time without significant penetration. Interface defeat has a direct effect upon the ballistic performance of the armor piercing projectile, which is studied numerically and theoretically at present. Firstly, by modeling the projectiles and ceramic targets with the SPH (Smoothed Particle Hydrodynamics) particles and Lagrange finite elements, the systematic numerical simulations on interface defeat are performed with the commercial finite element program AUTODYN. Three different responses, i.e., complete interface defeat, dwell and direct penetration, are reproduced in different types of ceramic targets (bare, buffered, radially confined and oblique). Furthermore, by adopting the validated numerical algorithms, constitutive models and the corresponding material parameters, the influences of projectile (material, diameter, nose shape), constitutive models of ceramic (JH-1 and JH-2 models), buffer and cover plate (thickness, constraints, material), as well as the prestress acted on the target (radial and hydrostatic) on the interface defeat (transition velocity and dwell time) are systematically investigated. Finally, based on the energy conservation approach and taking the strain rate effect of ceramic material into account, a modified model for predicting the upper limit of transition velocity is proposed and validated. The present work and derived conclusions can provide helpful reference for the design and optimization of both the long-rod projectile and ceramic armor.     

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.     

A numerical study on the disturbance of explosive reactive armors to jet penetration

The disturbance of flat and V-shaped sandwich reactive armor configurations to shaped-charge jet is studied by a numerical approach. The disturbing and cutting effects of the two reactive armor configurations to the jet are successfully captured. The predicted disturbance characteristics and patterns are in fairly good agreement with the X-ray photographic observations. The residual depth of penetration into a semi-infinitive homogeneous steel target behind the reactive armor is computed for a series of jet/armor parameters. For the flat configuration, it is demonstrated that the residual penetration depth is not significantly reduced for a normal impact while it is reduced up to 75% for an oblique impact. In comparison, the V-shaped configuration reduces the penetration depth of the jet to 90%, and it is observed that the penetration depth is not sensitive to the V-shaped angle.     

横向效应增强型弹垂直侵彻薄靶的轴向剩余速度理论分析

为了得到横向效应增强型弹（Penetration with Enhanced Lateral Efficiency projectile, PELE）对金属薄靶垂直侵彻后的弹体轴向剩余速度，运用平面冲击波理论，对PELE的侵彻机理进行分析。参照平头弹体对靶板的侵彻模型，将PELE侵彻过程中的能量损失划分为以下几个部分：外壳体和内芯撞靶区域对应的环形塞块获得的能量、冲击波作用下弹体的内能增量以及剪切耗能等。然后根据能量守恒原理，得到PELE垂直侵彻金属薄靶后的PELE弹体轴向剩余速度的理论模型。为了验证该模型的合理性和准确性，设计相应的试验进行验证。结果表明，不同条件下得到的试验结果和理论模型得到的计算结果均吻合得较好。因此，得到的PELE垂直侵彻薄靶的轴向剩余速度理论模型可为工程应用提供指导和参考。     

金属靶体材料动力硬度测试及动态阻力分析

以高速侵彻下45钢靶体侵彻阻力为研究对象,开展了弹体高速侵彻45钢靶体试验,获取了典型弹体对45钢靶体的成坑参数。基于高速侵彻阻力模型对靶体侵彻阻力及影响因素进行分析。结合流体动力学侵彻模型对不同弹体材料侵彻45钢靶体侵彻深度规律进行研究。研究结果表明:随着撞击速度的增大,45钢的靶体阻力从5. 13 GPa减小到3. 7 GPa;基于材料动力硬度测试方法的靶体动态阻力测试结果和理论计算结果吻合较好;随着靶体动态屈服强度的增大,靶体阻力呈线性增大的趋势;侵彻深度及靶体动态阻力理论计算结果和试验数据吻合较好,说明所提动态阻力确定方法可行,可为高速侵彻动力学研究提供参考。     

不同截面形状复合长杆弹对陶瓷复合靶板侵彻研究

采用数值模拟技术研究了由3种不同截面形状的钨芯外包覆一层钢,形成的钢包覆层复合长杆弹在入射速度为1200m/s～1700m/s时对陶瓷/金属复合靶板的侵彻过程。结果表明:对于同一入射速度、相同弹体长度、同种材料的弹芯和包覆层以及靶板材料而言,等面积的六边形截面钨芯复合长杆弹的侵彻深度明显大于圆形及方形截面,方形及六边形截面与和它们等外接圆形成的圆形截面复合长杆弹侵彻深度没有明显差别,本研究认为这是与不同截面钨芯的外接圆直径直接相关。六边形截面长杆弹侵彻过程中的自锐化现象是其侵彻深度明显大于其它两种弹体的主要原因。     

加筋板架抗动能穿甲的等效防护厚度研究

为研究舰船舷侧结构抗穿甲性能,采用有限元分析了两种典型工况下板架的穿甲破坏模式、弹体的剩余速度和板架的变形吸能规律,提出了基于剪切冲塞模式的剩余速度理论计算模型,比较了不同等效计算方法得到的结果,并将理论计算结果分别与相关文献的实验结果和本文的有限元计算结果进行了比较,两者之间均吻合较好。结果表明,加强筋对板架的抗穿甲性能影响较大,而板架的实际等效厚度是决定其抗穿甲性能的主要因素;不同的等效计算方法与模型相对尺寸、弹体冲击速度以及命中位置有关,对于弹体直径相对较大且初始冲击速度较高时,不同的等效计算方法得到的结果基本一致。     

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.     

Influence of thickness and projectile shape on penetration resistance of the compliant composite

The present study deals with development of conceptual proof for jute rubber basedflexible composite block to completely arrest the projectile impacting the target at high velocity impact of 400 m/s through numerical simulation approach using finite element (FE) method. The proposed flexible composite blocks of repeating jute/rubber/jute (JRJ) units are modelled with varying thickness from 30 mm to 120 mm in increments of 30 mm and impacted by flat (F), ogival (O) and hemispherical (HS) shaped projectiles. All the considered projectiles are impacted with proposed flexible composite blocks of different thicknesses and the penetration behaviour of the projectile in each case is studied. The penetration depth of the projectile in case of partially penetrated cases are considered and the effect of thickness and projectile shape on percentage of penetration depth is statistically analyzed using Tagu-chi's design of experiments (DOE). Results reveal that the though proposedflexible composite block with thickness of 90 mm is just sufficient to arrest the complete penetration of the projectile, considering the safety issues, it is recommended to use theflexible composite with thickness of 120 mm. The nature of damage caused by the projectile in the flexible composite is also studied. Statistical studies show that thickness of the block plays a prominent role in determining the damage resistance of the flexible composite.     

球头弹低速斜侵彻下薄板穿甲破坏机理研究

为探讨球头弹低速斜侵彻下靶板的破坏机理,通过系列弹道试验,对比分析了不同初始速度下弹体的变形,靶板的破坏模式,以及靶板的破口大小及形状；同时采用ANSYS/LS-DYNA对弹靶作用过程进行了数值模拟。结果表明：低速斜侵彻下靶板响应非完全对称,根据受力特征可将靶板划分为四个不同区域,即接触区,弯曲区,拉伸区和对称区；薄板的穿甲破坏可分为四个不同的阶段,即隆起变形,碟形变形,弯曲变形,弹体贯穿阶段；不同初始速度下靶板出现四种典型的穿甲破坏模式,随着初始速度的增加依次为隆起—碟形变形,隆起—碟形变形—拉弯撕裂破坏,隆起—碟形变形—拉弯剪切破坏,隆起—拉弯剪切破坏。斜侵彻下靶板破口形状为椭圆形,随着初始速度的增加,破口长径不断减小,形状由椭圆形向卵形过渡。     

动力车纵向气动力风洞试验及数值模拟

采用风洞试验(在地板抽吸和不抽吸情况下)和数值模拟计算对200km/h动力集中型电动旅客列车组动力车纵向气动力进行了研究,得到了动力车作为头、尾车的纵向气动力系数。结果表明,地板抽吸后,头、尾车空气阻力均有明显增加,头车负升力增加,尾车正升力减少;动力车头、尾两车联挂时底部空气阻力占总的空气阻力的25.9%,列车减阻的重点在车体底部空气阻力。     

基于层裂机理的弹体侵彻混凝土的工程模型

以斜侵彻过程中的终点弹道为研究对象,基于动态球形空腔膨胀理论给出的阻力函数理论公式和开坑阶段的表面层裂机理,建立了能够综合考虑弹头形状、开坑区深度的斜侵彻深度预测模型,并进一步推导了能够适用不同弹头形状的弹体过载时程曲线计算公式。预测模型得到的侵彻深度和过载与试验结果吻合较好。研究结果可为弹体与混凝土靶的斜侵彻弹道分析和弹丸头部设计提供一定帮助。     

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.     

Damage modeling of ballistic penetration and impact behavior of concrete panel under low and high velocities

This work presents a numerical simulation of ballistic penetration and high velocity impact behavior of plain and reinforced concrete panels. This paper is divided into two parts. The first part consists of numerical modeling of reinforced concrete panel penetrated with a spherical projectile using concrete damage plasticity (CDP) model, while the second part focuses on the comparison of CDP model and Johnson-Holmquist-2 (JH-2) damage model and their ability to describe the behavior of concrete panel under impact loads. The first and second concrete panels have dimensions of 1500 mm × 1500 mm × 150 mm and 675 mm × 675 mm × 200 mm, respectively, and are meshed using 8-node hexahedron solid elements. The impact object used in the first part is a spherical projectile of 150 mm diameter, while in the second part steel projectile of a length of 152 mm is modeled as rigid element. Failure and scabbing characteristics are studied in the first part. In the second part, the com-parison results are presented as damage contours, kinetic energy of projectile and internal energy of the concrete. The results revealed a severe fracture of the panel and high kinetic energy of the projectile using CDP model comparing to the JH-2 model. In addition, the internal energy of concrete using CDP model was found to be less comparing to the JH-2 model.     

Analysis of the mass of behind-armor debris generated by RHA subjected to normal penetration of variable cross-section EFP

Analyzing the mass of behind-armor debris (BAD) generated by Rolled Homogeneous Armor (RHA) subjected to normal penetration of variable cross-section Explosively Formed Projectile (EFP) is the purpose of this paper. So theoretical analysis, numerical simulation and experimental data are combined to analyze the influence of variable cross-section characteristic on the time history of crater radius. Moreover the relationships between time history of crater radius (as well as mass of BAD) and the thickness of RHA (from 30 mm to 70 mm) and the impact velocity of EFP (1650 m/s to 1860 m/s) are also investigated. The results indicate that: 1) being compared to the variable cross-section characteristic is ignored, the theoretical time history of crater radius is in better agreement with the simulation results when the variable cross-section characteristic is considered; 2) being compared to the other three conditions of plug, the theoretical mass of BAD is in the best agreement with the simulation results when the shape of plug is frustum of a cone and the angle between generatrix and bottom is 45° and the axial length of mushroom is considered.     

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.