钨合金/黄铜复合结构靶抗高速破片侵彻的实验研究

在二级轻气炮上对新设计的一种钨合金/黄铜的有间隙的复合结构靶板开展了抗侵彻实验研究。靶板材料为多层结构,层与层之间有10mm到50mm的间隙。为了得到最优的结构设计参数,在二级轻气炮上对这种结构的靶板进行了弹丸质量为3g～20g、弹丸速度为2000m/s～4100m/s的抗侵彻实验研究。研究结果表明,高密度、高硬度的93W合金板和H62黄铜是防护结构最佳选材之一;用它们的两组合设计的四层复合结构靶能抵抗质量约20g,速度约2000m/s的钢质破片的侵彻。这一研究结果为选择合理的防护结构提供实验支持。     

Effect of projectile nose shape,impact velocity and target thickness on deformation behavior of aluminum plates

The present study deals with the experimental and numerical investigations of aluminum target plates impacted by blunt, ogive and hemispherical nosed steel projectiles. The projectiles were normally impacted on the target plates of 0.5, 0.71, 1, 1.5, 2, 2.5 and 3 mm thicknesses at different velocities with the help of a pneumatic gun. Effect of projectile nose shape, impact velocity and plate thickness on the deformation of the target plates was studied. Hemispherical nosed projectile caused highest global deformation (dishing) of the target plates. Ogive nosed projectiles were found to be the most efficient penetrator for the case of plates of thicknesses 0.5, 0.71, 1.0 and 1.5 mm. For the case of plates of thicknesses 2.0, 2.5 and 3.0 mm however, blunt nosed projectiles required least energy to perforate the target plates. The ballistic limit velocity of hemispherical nosed projectiles was found to be highest as compared to the other two projectiles. Finite element analysis of the problem was carried out using ABAQUS finite element code. Results of the numerical analysis were compared with the experiments and good correlation between the two was found.     

含装甲钢和陶瓷板的钢纤维砼复合靶的抗侵彻实验研究

为考察装甲钢板和陶瓷板的抗侵彻特性,在钢纤维混凝土靶中分别加入两种不同厚度的装甲钢板和陶瓷板振动成型。在57mm轻气炮上进行了小尺寸射弹侵彻钢纤维砼复合靶试验,测量了不同速度的射弹在不同靶中的侵彻深度。研究表明,当装甲钢板的厚度在5mm范围内,射弹速度超过400m/s时,装甲钢板的厚度对侵彻深度的影响不明显。对含陶瓷板的钢纤维砼,当射弹超过一定速度时,射弹弯曲断裂。通过分析给出了射弹残余弹长与射弹的密度、射弹的动态屈服强度和垂直撞击陶瓷板的速度的函数关系,理论结果与实验数据基本一致。     

光滑粒子模拟方法在超高速碰撞现象中的应用

简要介绍了基于黎曼解的光滑粒子法,并将改进的SPH方法应用于超高速碰撞,对二维轴对称条件下的弹丸超高速碰撞薄板问题进行了数值模拟,研究了靶板厚度、弹丸速度、弹丸形状等因素对形成碎片云的影响。通过与实验数据比较,该算法模拟的碎片云的形状及特征与实验相吻合,验证了光滑粒子法对冲击动力学问题数值模拟的有效性。     

Penetration force measurement of thin plates by laser doppler anemometry

An experimental method is developed by applying laser-Doppler anemometry (LDA) to measure the velocity history of a projectile impact on a target. The force history was obtained by assuming the projectile to be rigid and by differentiating a polynomial which best fitted the obtained velocity data. This method was then applied to the impact of a hemispherically tipped striker on 1-mm thick aluminum plates. The initial velocity of the projectile ranged from several m/s to 93.5 m/s. When these velocities were low enough not to produce cracks on the plate, double-force peaks were observed in each test, and the value corresponding to the higher peak was proportional to the initial velocity of the projectile. Further, this peak force occurred when the projectile just started to rebound, and spring-back behavior of the plate always occurred. Once the cracks on the target started to form, the peak impact force dropped, and the double-peak phenomenon disappeared. It was also found that the peak force was at approximately the same level for impact speeds above the ballistic limit of the plate. On the other hand, a power law was found to perfectly fit the relationship between the absorbed kinetic energy and the initial velocity of the projectile when it was lower than the ballistic limit.     

Semi-theoretical analyses of the concrete plate perforated by a rigid projectile

Based on the three-stage perforation model, a semi-theoretical analysis is conducted for the ballistic performances of a rigid kinetic projectile impacting on concrete plates. By introducing the projectile resistance coefficients, dimensionless formulae are proposed for depth of penetration (DOP), perforation limit thickness, ballistic limit velocity, residual velocity and perforation ratio, with the projectile nosed geometries and projectile-target interfacial friction taken into account. Based on the proposed formula for DOP and lots of penetration tests data of normal and high strength concrete targets, a new expression is obtained for target strength parameter. By comparisons between the results of the proposed formulae and existing empirical formulae and large amount of projectile penetration or perforation tests data for monolithic and segmented concrete targets, the validations of the proposed formulae are verified. It is found that the projectile-target interfacial friction can be neglected in the predictions of characteristic ballistic parameters. The dimensionless DOP for low-to-mid speed impacts of non-flat nosed projectiles increases almost linearly with the impact factor by a coefficient of 2/(πS). The anti-perforation ability of the multilayered concrete plates is dependent on both the target plate thickness and the projectile impact velocity. The variation range of the perforation ratio is 1–3.5 for concrete targets.     

A membrane model for the response of thin plates to ballistic impact

The axisymmetric response of an infinite plate to an impacting projectile is determined analytically on the hypothesis that, for large deformations, a ductile plate behaves to a good approximation like a membrane under uniform tension. The lowest projectile velocity that results in perforation (the ballistic limit), and the residual velocity after perforation, then are determined on the basis of a critical-strain failure criterion. A figure of merit that depends only on the material properties of the target and characterizes the resistance of the material to impact appears naturally in the analysis. Variations in the ballistic limit with target thickness and projectile dimensions can be determined when this figure of merit is known. The theoretical ballistic limit and residual velocity for a steel cylinder impacting a titanium plate are found to agree with available measured values. Further support for the membrane model and an estimate of its range of validity are obtained by comparing the maximum displacement of an impulsively-loaded, circular membrane with experimental data for circular plates.     

冰弹丸高速发射方法研究

冰弹丸的高速发射技术是认识冰弹丸高速撞击靶板损伤效应的瓶颈技术。利用二级轻气炮作为发射装置,采用液氮杜瓦制冷系统实现温度控制,选择铝质膜片对气压进行控制,利用高速摄像机对冰弹丸的完整性进行观测,并利用丝网测速仪对弹丸速度进行测量,实现了对冰弹丸的高速发射。通过实验验证了该方法的可行性,得到了完整冰弹丸在1516m/s下撞击铝合金靶板的实验结果。     

泡沫铝子弹高速撞击下铝基复合泡沫夹层板的动态响应

应用一级轻气炮驱动泡沫铝弹丸高速撞击加载技术,对实心钢板以及前/后面板为Q235钢板、芯层分别为铝基复合泡沫和普通泡沫铝的夹层板结构,在脉冲载荷作用下的动态力学响应进行实验研究。结果表明:泡沫铝子弹高速撞击靶板可近似模拟爆炸载荷效果;铝基复合泡沫夹层板的变形分为芯层压缩和整体变形两个阶段;与其他靶板相比,铝基复合泡沫夹层板的抗冲击性能最优。基于实验研究,应用LS-DYNA非线性动力有限元软件,对泡沫铝夹层板的动态响应进行数值模拟。结果表明:泡沫铝子弹的长度和初始速度对子弹与夹层板之间的接触作用力影响显著,并且呈线性关系。泡沫芯层强度对等质量及等厚度夹层板的抗冲击性能均有显著影响,夹层板中心挠度对前、后面板的厚度匹配较为敏感,在临界范围内,若背板厚度大于面板厚度,可减小夹层板的最终挠度。夹层板面板宜采用刚度较低、延性好、拉伸破坏应变较大的金属材料。     

93W杆式弹超高速撞击多层Q345钢靶毁伤及微观分析

为了解杆式弹超高速撞击多层薄钢靶的破坏过程及毁伤机理,开展了克级93W杆式弹正撞击多层Q345钢靶实验及数值模拟研究,通过扫描电子显微镜（scanning electron microscope,SEM）及金相显微镜,分析了超高速撞击实验后靶板材料的微观组织及成分。结果表明,超高速撞击作用下,靶板呈现出“翻唇”穿孔变形、花瓣状塑性变形、撕裂、撞击成坑及鼓包等破坏模式。靶板前3层毁伤以超高速穿孔为主,孔洞数目多但面积小,后几层靶板毁伤孔洞数目少且孔径呈先增大后减小趋势。微观分析表明靶材在强冲击压力下发生晶粒碎化、熔化及再结晶,撞击过程中会形成微孔聚集与微裂纹,可见靶板失效主要是熔融混合物冷却过程中产生的热应力与切应力下的剪切撕裂综合作用的结果。     

超高速碰撞产生等离子体的毁伤特性研究

以热力学为基础,结合化学反应速率方程,推导得出描述超高速碰撞产生的等离子体电子密度与系统内能关系的物理方程组. 应用自行编写的二维光滑粒子流体动力学(smoothed particle hydrodynamics, SPH) 程序求解了此方程组,在模拟超高速碰撞过程中计算产生的等离子体,实现对超高速碰撞产生等离子体的数值模拟.进行铝球超高速碰撞双层铝板的数值模拟研究,给出与实验对比的结果. 统计前后两次碰撞产生等离子体的电量,发现碰撞较薄的前板产生了较少的电荷而一次碎片云对较厚后板的碰撞产生了大量的电荷. 交换前后两板的位置. 进行相同速度碰撞的模拟,分析结果发现一次碎片云碰撞后板产生的等离子体电量远小于第一次的模拟结果,而前板碰撞产生的等离子体电量要高于第一次模拟结果,由此可见,超高速碰撞产生等离子体的总电量不仅与弹丸的质量和碰撞速度有关,与薄板的厚度也有很大的关系,通过一次碎片云与第二层板碰撞可以产生远高于弹丸碰撞单层板产生的电量,可以提高等离子体产生效率,增强对航天器的电磁毁伤.      

INVESTIGATION OF PLASMA DAMAGE PROPERTIES GENERATED BY HYPERVELOCITY IMPACT

以热力学为基础,结合化学反应速率方程,推导得出描述超高速碰撞产生的等离子体电子密度与系统内能关系的物理方程组. 应用自行编写的二维光滑粒子流体动力学(smoothed particle hydrodynamics, SPH) 程序求解了此方程组,在模拟超高速碰撞过程中计算产生的等离子体,实现对超高速碰撞产生等离子体的数值模拟.进行铝球超高速碰撞双层铝板的数值模拟研究,给出与实验对比的结果. 统计前后两次碰撞产生等离子体的电量,发现碰撞较薄的前板产生了较少的电荷而一次碎片云对较厚后板的碰撞产生了大量的电荷. 交换前后两板的位置. 进行相同速度碰撞的模拟,分析结果发现一次碎片云碰撞后板产生的等离子体电量远小于第一次的模拟结果,而前板碰撞产生的等离子体电量要高于第一次模拟结果,由此可见,超高速碰撞产生等离子体的总电量不仅与弹丸的质量和碰撞速度有关,与薄板的厚度也有很大的关系,通过一次碎片云与第二层板碰撞可以产生远高于弹丸碰撞单层板产生的电量,可以提高等离子体产生效率,增强对航天器的电磁毁伤.     

An investigation of oblique perforation of metallic plates by projectiles

An experimental and analytical study was performed on the mechanics of oblique perforation of metallic plates by projectiles. The purpose was to determine the dependence of the velocity drop on the angle of impact for prescribed mechanical and physical properties of the projectile and the target plate. The ballistic experiments were carried out with 0.22-in.-caliber lead bullets on target plates of commercially pure aluminum and an aluminum alloy which ranged from 2.0 to 6.0 mm in thickness. Transient measurements were taken which included high-speed photographs of the perforation process. The theoretical model that had been developed previously by the authors for the case of normal perforation was modified to include the effects of the angle of impact. The experimental observations for the present test conditions indicate that the main modification to the analysis is the use of the total projectile path as the effective target-plate thickness. Reasonably good agreement between the experimental and theoretical results was obtained.     

高速3D-DIC测试技术在装甲钢贯穿试验中的应用

数字图像相关（digital image correlation, DIC）技术作为一种非接触、非干涉的全场无损光学量测技术,可获取材料表面的动态变形信息和破坏过程。为了评估装甲钢的抗弹性能并探索高速三维数字图像相关（3D-DIC）技术在钢板贯穿试验测试中的应用,基于氢氧爆轰驱动弹道枪开展了7发15 mm口径可变形弹体以不同速度（255～568 m/s）冲击不同厚度（5、8和10 mm）高强高硬装甲钢板的试验,并结合帧率为144 000 s?1的高速3D-DIC测试技术获取了靶板的离面位移和应变时程。随后,基于前期标定并验证的装甲钢本构模型参数,对上述试验进行了数值模拟。通过对比弹体残余速度和长度验证了有限元分析方法的可靠性。进一步通过对比试验与数值模拟得到的靶背离面位移时程曲线和不同时刻靶背的应变云图,验证了高速3D-DIC测试结果的准确性。最后,对比分析了靶板最大离面位移与弹体冲击速度和装甲钢板厚度的关系。高速3D-DIC测试技术的应用可为相关试验测试提供参考,靶板最大离面位移分析结果可为屏障类防护结构的分析验证和优化设计提供试验依据。     

ANALYTICAL MODEL OF CERAMIC/METAL ARMOR IMPACTED BY DEFORMABLE PROJECTILE

A new analytical model was established to describe the complex behavior of ceramic/metal armor under impact of deformable projectile by assuming some hypotheses. Three aspects were taken into account: the mushrooming deformation of the projectile, the fragment of ceramic tile and the formation and change of ceramic conoid and the deformation of the metal backup plate. Solving the set of equations, all the variables were obtained for the different impact velocities: the extent and particle velocity in rigid zone; the extent, cross-section area and particle velocity in plastic zone; the velocity and depth of penetration of projectile to the target; the reduction in volume and compressive strength of the fractured ceramic conoid; the displacement and movement velocity of the effective zone of backup plate. Agreement observed among analytical result, numerical simulation and experimental result confirms the validity of the model, suggesting the model developed can be a useful tool for ceramic/metal armor design.     

球形弹丸正撞击薄板防护屏碎片云特性研究

以质量、动量和能量守恒为基础,结合平面激波理论和热力学理论,对球形铝弹丸正撞击薄板铝防护屏形成的碎片云特性进行了建模,模型计算结果与实验结果吻合较好。利用该模型对多种工况下碎片云特性进行了计算,结果表明:(1)碎片云质心速度和膨胀速度随撞击速度和弹丸直径的增加而增大,随防护屏厚度增大而减小;膨胀半角随撞击速度和防护屏厚度的增大而增大,随弹丸直径的增大而减小;(2)速度和膨胀半角变化曲线具有相似性;(3)对于给定的弹丸和防护屏材料,碎片云中受到激波加载部分的材料各相态质量分数只与弹丸撞击速度有关。这些规律与实验规律吻合。     

压剪复合冲击下氧化铝陶瓷的剪切响应实验研究

通过对92.93%氧化铝陶瓷进行倾斜板碰撞实验,研究了多晶陶瓷材料在压剪复合冲击下的非弹性变形响应和剪切波传播规律。压剪复合冲击实验由57 mm开槽气体炮驱动铜飞片对陶瓷靶板加载,通过试件内埋植的电磁速度计来测量内部质点速度历程。将纵向粒子速度从感应电动势曲线中分离后得到横向粒子速度历程,发现在压剪复合冲击下由于材料剪切刚度的降低而引起的剪切波衰减。冲击软回收试件的扫描电子显微镜（SEM）观察表明,冲击载荷低于屈服强度时,多晶氧化铝陶瓷中存在沿晶界、气孔的微裂纹成核与扩展,在高于屈服强度的冲击加载下进一步产生了穿晶微裂纹,微裂纹系统导致了材料在卸载后的显著的体积膨胀。     

单层5A06铝合金板高速撞击实验研究

采用非火药驱动二级轻气炮发射球形弹丸,对单层5A06铝合金板进行高速撞击实验研究,从而模拟空间碎片对航天器防护结构的高速撞击作用。实验得到了该铝合金板在不同的速度区间的损伤模式。结果表明,弹丸撞击速度一定时,弹坑深度和弹坑直径均与弹丸直径呈线性关系。当撞击速度在4km/s至5km/s时,靶板上的弹坑深度和弹坑直径随撞击速度的增大而减小,在其它速度范围内,弹坑深度和弹坑直径随撞击速度的增大而增大。通过固定弹丸直径,变化撞击速度,寻找临界撞击速度的方法获得了该铝合金板在弹丸撞击速度为1.0km/s至4.2km/s时的撞击极限曲线,并将实验弹坑深度与由Cour-Palais方程得到的预测弹坑深度进行了比较,实验弹坑深度大于预测值。     

Oblique Perforation of Thick Metallic Plates by Rigid Projectiles

Oblique perforation of thick metallic plates by rigid projectiles with various nose shapes is studied in this paper. Two perforation mechanisms, i.e., the hole enlargement for a sharp projectile nose and the plugging formation for a blunt projectile nose, are considered in the proposed analytical model. It is shown that the perforation of a thick plate is dominated by several non-dimensional numbers, i.e., the impact function, the geometry function of projectile, the non-dimensional thickness of target and the impact obliquity. Explicit formulae are obtained to predict the ballistic limit, residual velocity and directional change for the oblique perforation of thick metallic plates. The proposed model is able to predict the critical condition for the occurrence of ricochet. The proposed model is validated by comparing the predictions with other existing models and independent experimental data.The English text was polished by Keren Wang     

Rigorous model-based uncertainty quantification with application to terminal ballistics—Part II. Systems with uncontrollable inputs and large scatter

This Part II of this series is concerned with establishing the feasibility of an extended data-on-demand (XDoD) uncertainty quantification (UQ) protocol based on concentration-of-measure inequalities and martingale theory. Specific aims are to establish the feasibility of the protocol and its basic properties, including the tightness of the predictions afforded by the protocol. The assessment is based on an application to terminal ballistics and a specific system configuration consisting of 6061-T6 aluminum plates struck by spherical 440c stainless steel projectiles at ballistic impact speeds in the range of 2.4–2.8 km/s. The system's inputs are the plate thickness, plate obliquity and impact velocity. The perforation area is chosen as the sole performance measure of the system. The objective of the UQ analysis is to certify the lethality of the projectile, i.e., that the projectile perforates the plate with high probability over a prespecified range of impact velocities, plate thicknesses and plate obliquities. All tests were conducted at Caltech's Small Particle Hypervelocity Range (SPHIR), which houses a two-stage gas gun. A feature of this facility is that the impact velocity, while amenable to precise measurement, cannot be controlled precisely but varies randomly according to a known probability density function. In addition, due to a competition between petalling and plugging mechanisms for the material system under consideration, the measured perforation area exhibits considerable scatter. The analysis establishes the feasibility of the XDoD UQ protocol as a rigorous yet practical approach for model-based certification of complex systems characterized by uncontrollable inputs and noisy experimental data.