On the continued acceleration of bomb casing fragments following casing fracture

It has been said that, once a bomb casing has fractured, “detonation gases will then stream around the fragments or bypass them, and the acceleration process stops there.” However, while apparently copious gas flow through casing fractures indicates some pressure release, it is also an indication of significant gas drive pressure, post casing fracture. This paper shows two approaches to the problem of calculating the actual loss of drive. One presents first-order analytical calculations, in cylindrical geometry, of pressure loss to the inside surface of a fractured casing. The second shows the modelling of a selected example in the CTH code. Both approaches reveal that gas escape, while occurring at its own sound-speed relative to the adjacent casing fragments, has to compete with rapid radial expansion of the casing. Together with some historic experiments now publicly available, our calculations indicate that post-fracture casing fragment acceleration is, for most systems, unlikely to be reduced significantly.     

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.     

多点偏心起爆对破片速度增益的影响

多点偏心起爆后,爆轰波相互作用在定向区域内产生了马赫波超压,使得该区域破片速度产生增益.利用爆轰波反射理论,建立多点偏心起爆后爆轰波相互作用特性的理论模型,并确定定向区内破片速度的增益特性.3种不同起爆方式的仿真计算和静爆试验结果对比表明,定向区内不同起爆方式得到的破片增益程度较为吻合.     

Simulation of natural fragmentation of rings cut from warheads

Natural fragmentation of warheads that detonates causes the casing of the warhead to split into various sized fragments through shear or radial fractures depending on the toughness,density,and grain size of the material.The best known formula for the prediction of the size distribution is the Mott formulae,which is further examined by Grady and Kipp by investigating more carefully the statistical most random way of portioning a given area into a number of entities.We examine the fragmentation behavior of radially expanding steel rings cut from a 25 mm warhead by using an in house smooth particle hydrodynamic(SPH) simulation code called REGULUS.Experimental results were compared with numerical results applying varying particle size and stochastic fracture strain.The numerically obtained number of fragments was consistent with experimental results.Increasing expansion velocity of the rings increases the number of fragments.Statistical variation of the material parameters influences the fragment characteristics,especially for low expansion velocities.A least square regression fit to the cumulative number of fragments by applying a generalized Mott distribution shows that the shape parameter is around 4 for the rings,which is in contrast to the Mott distribution with a shape parameter of 1/2.For initially polar distributed particles,we see signs of a bimodal cumulative fragment distribution.Adding statistical variation in material parameters of the fracture model causes the velocity numerical solutions to become less sensitive to changes in resolution for Cartesian distributed particles.     

杀伤战斗部破片定向飞散特性研究

研究了钢预制破片壳体在四种装药爆轰驱动下的飞散特性。求得了使破片飞行路径呈平行型的预制破片壳体的临界半径及相应的破片初始速度。     

平底气泡船凹槽气层波动特性

为提高大型平底气泡船底部凹槽设计的有效性,基于RANS方程及VOF两相流模型构建了大型平板船凹槽气层数值计算模型。研究气层在凹槽中的动态发展过程,分析速度对气层波动的影响规律,并阐述三维凹槽气层的波形特性及其与二维气层波动的区别,揭示气层波动的相似律。数值结果表明:气层在凹槽中呈现波动形态,气层波长随速度的增加而增大,波长等于速度平方的0.64倍;气层在凹槽侧壁的干扰及反射下呈现相干波系,从而其波高及局部厚度也随之改变;气层波动满足傅汝德相似。     

Research on the intermediate phase of 40CrMnSiB steel shell under different heat treatments

In this study, 40CrMnSiB steel cylindrical shells were tempered at 350, 500 and 600 ℃ to study the effect of tempering temperature on the dynamic process of expansion and fracture of the metal shell. A mid-explosion recovery experiment for the metal cylinder under internal explosive loading was designed, and the wreckage of the casings at the intermediate phase was obtained. The effects of different tempering temperatures on the macroscopic and microscopic fracture characteristics of 40CrMnSiB steel were studied. The influence of tempering temperatures on the fracture characteristic parameters of the recovered wreckage were measured and analyzed, including the circumferential divide size, the thick-ness and the number of the circumferential divisions. The results show that as the tempering temper-ature was increased from 350 to 600 ℃, at first, the degree of fragmentation and the fracture characteristic parameters of the recovered wreckage changed significantly and then became essentially consistent. Scanning electron microscopy analysis revealed flow-like structure characteristics caused by adiabatic shear on different fracture surfaces. At the detonation initiation end of the casing, fracturing was formed by tearing along the crack, which existed a distance from the initiation end and propagated along the axis direction. In contrast, the fracturing near the middle position consists of a plurality of radial shear fracture units. The amount of alloy carbide that was precipitated during the tempering process increased continuously with tempering temperature, leading to an increasing number of spherical carbide particles scattered around the fracture surface.     

Deformation,fragmentation and acceleration of a controlled fragmentation charge casing

Two different finite element software, LS-DYNA and Impetus, have been evaluated to test their ability to predict the deformation, fragmentation and acceleration of a controlled fragmentation charge casing. The general-purpose program LS-DYNA was used with a multi-material ALE formulation and a mass-preserving erosion criterion coupled to a Johnson-Cook fracture criterion. In the Impetus simulations, a third order Lagrangian element formulation was used for the casing and a node-splitting element erosion treatment coupled to a Cockcroft-Latham failure criterion was used to describe casing fracture. The high-explosive gases were described by a discrete particle formalism.In order to acquire data to validate our computational tools and constitutive models, a series of experiments have been performed using a laboratory charge with an internal grooved casing. In the test series, the charge geometry was fixed except that the groove depth were varied from very shallow to very deep resulting in different deformation patterns, fracture modes and terminal velocities. Various diagnostic tools captured the different stages of the expansion and fragmentation of the casing. A high-speed framing camera depicted the deformation pattern before fragmentation and was used to determine the moment when the casing failed. Three different complementary techniques were used to follow the acceleration of the fragments; a Photon Doppler velocimetry to determine the initial acceleration of the casing, double exposed radiographs to estimate the fragment velocity after break-up and a high-speed video to determine the terminal velocity of the fragment after leaving the fireball. In addition, the fragments were soft recovered in a set of sawdust pit tests and their final shape and weight were measured. A SEM was used to characterise the fracture surfaces and to determine the modus of fracture (tensile or shear failure).Comparisons to experiments show that both software can predict the change in deformation behaviour when the groove depth increases, from tangential necking for shallow grooves to radial punching for deep groves. Both software could also reasonable well predict the acceleration of the fragments, though both overestimates the terminal velocity for the charge with the deepest grooves.     

双球破片冲击柱壳装药的临界起爆条件

为了研究导弹战斗部(柱壳装药)在破片场中的累积毁伤问题,在现有单破片起爆平板装药的Jacobs-Roslund经验准则的基础上,分别建立了考虑破片尺寸、破片撞击角度、柱壳装药的装药半径和壳体厚度的单球破片、双球破片冲击柱壳装药临界起爆条件的工程分析模型.该模型计算结果与数值模拟结果和现有试验结果相吻,证明利用该模型能较...     

Effect of the end cap on the fragment velocity distribution of a cylindrical cased charge

The prediction of the fragment velocity distribution of a cylindrical cased charge with end caps is one of the key issues to assess the damage efficiency of the warhead. However, limited work has been con-ducted to predict the fragment velocity distributions along the axis of cylindrical cased charges with end caps. This paper presents a study of the velocity distribution of fragments caused by the explosion of a cylindrical cased charge with end caps. The fragment velocity distribution and the end cap velocity were determined by an X-ray radiography method, and the axial fragment distribution was determined by witness plates. It was found that the velocities of fragments, especially near the edge, were increased when the end caps were added, and the position of maximum velocity is closer to the non-detonation end. The fragment velocities were increased, and the fragment projection range was decreased with the increase of the thickness of the end cap. A formula for fragment velocity distributions of a cylindrical cased charge with end caps, which is based on Huang's formula, was proposed by the theoretical analysis and data fitting and validated experimentally. The results indicate that the proposed formula is accurate in predicting the fragment velocity distribution along the axis of a cylindrical cased charge with end caps detonated at one end.     

Experimental research on the instability propagation characteristics of liquid kerosene rotating detonation wave

In order to study the instability propagation characteristics of the liquid kerosene rotating detonation wave (RDW), a series of experimental tests were carried out on the rotating detonation combustor (RDC) with air-heater. The fuel and oxidizer are room-temperature liquid kerosene and preheated oxygen-enriched air, respectively. The experimental tests keep the equivalence ratio of 0.81 and the oxygen mass fraction of 35% unchanged, and the total mass flow rate is maintained at about 1000 g/s, changing the total temperature of the oxygen-enriched air from 620 K to 860 K. Three different types of instability were observed in the experiments: temporal and spatial instability, mode transition and re-initiation. The interaction between RDW and supply plenum may be the main reason for the fluctuations of detonation wave velocity and pressure peaks with time. Moreover, the inconsistent mixing of fuel and oxidizer at different circumferential positions is related to RDW oscillate spatially. The phenomenon of single-double-single wave transition is analyzed. During the transition, the initial RDW weakens until disappears, and the compression wave strengthens until it becomes a new RDW and propagates steadily. The increased deflagration between the detonation products and the fresh gas layer caused by excessively high temperature is one of the reasons for the RDC quenching and re-initiation.     

敷设气囊的充水圆柱壳的声辐射

为降低充水圆柱壳受内部点声源激励时的水下辐射噪声，在其外壳上敷设气囊，形成气囊圆柱壳。为指导气囊圆柱壳的设计，将充水裸圆柱壳和充水气囊圆柱壳分别简化为单、双层无限长隔板。比较隔板、气体与水的波阻抗，分析了气体声速与层厚对双层无限长隔板在平面声波入射时低频声辐射的影响机理。分析表明，声速小的气体和适当的气层厚度可以降低双层障板的辐射噪声。采用声无限元法计算了气囊圆柱壳的水下声辐射，结论与对隔板的机理分析吻合。优化设计出的充水CO2气囊圆柱壳的水下辐射声功率与远场辐射声压明显低于充水裸圆柱壳。     

强激光照射下双层壳体温度场的数值模拟

运用有限元法对强激光照射下双层壳体的温度场进行了数值模拟。详细分析了在激光功率一定的情况下,外层壳体的热传导系数、比热和厚度的变化对内层壳体温升的影响。计算中考虑了内层壳体的热损耗效应。此外,根据材料参数的温度相关性,分析了内层壳体材料参数随温度的变化特性对其温升效应的影响,并将计算结果与强激光照射下单层壳体的温度场进行了比较,得到一些有意义的结论。     

Experimental study on the detonation process of a pulse detonation engine with ionized seeds

An experimental platform of a pulse detonation engine (PDE) was established to study the effect of different K₂CO₃ ionized seed mass contents on the detonation process. The pressure and ion concentration were detected in the detonation process of the PDE with different contents of ionized seeds. The initiation process of the PDE at different ignition frequencies was studied. The results show that the gas conductivity in the detonation process increased by adding ionized seeds to the PDE tube, and the conductivity increased with the increase in ionized seed mass content. With the increase in ionized seed mass content, the range of the conductivity decreased. The PDE was successfully ignited and formed a stable detonation wave at ignition frequencies of 5 Hz and 10 Hz, and the peak pressure of the stable detonation with the ignition frequency of 5 Hz was 17% higher than that with an ignition frequency of 10 Hz. The detonation wave intensity was weakened and degenerated to a shock wave that propagated in the tube without the fuel filled at the ignition frequency of 20 Hz.     

圆柱壳体内 X 射线热击波的二维力学计算

依据二维流体弹塑性模型及二维断裂处理方法,研究Ｘ射线热击波在圆柱壳体内的传播规律。计算结果揭示了圆柱壳体内热击波的一些二维效应。     

连续旋转爆震波传播模态试验

通过保持空气流量不变、改变H2/air当量比开展了连续旋转爆震对比试验,发现随当量比的降低出现三种传播模态:在较高的当量比(0.90~1.86)下,连续旋转爆震波以同向传播模态传播;在较低的当量比(≈0.75)下,则以双波对撞模态传播;在中间工况,则以上述混合模态维持传播。分析了不同传播模态下的高频压力特征,并初步分析了传播模态的转换机制:当量比较高时,爆震强度较高,传播过程中的损失和速度亏损相对较小,爆震波以同向传播模态维持传播;当量比较低时,爆震强度较低,传播过程中的损失和速度亏损较大,此时无法维持同向传播模态,而以双波对撞模态传播,这是由于双波对撞模态中的激波对撞产生高温环境,有利于燃烧放热,其可能是连续旋转爆震的极限传播模态。     

Kagome点阵夹层板吸能性能的数值模拟

建立了Kagome点阵夹层板在爆炸冲击荷载作用下的数值模拟模型，计算分析了夹层板的面板厚度、夹芯层杆件半径以及爆炸冲击荷载峰值压力和作用时间对Kagome点阵夹层板吸能性能的影响。发现在给定的爆炸冲击荷载作用下，夹层板只有在合适的几何尺寸下才能使夹芯层的塑性变形能占整个结构塑性变形能的大部分，从而体现出该夹层板主要由夹芯层塑性变形耗能的优势。     

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.     

Experimental studies of explosion energy output with different igniter mass

For study the energy output law of cylindrical charge with shell induced by different input energies, four different black powder masses were selected to ignite the main charge. Fragmentation degree of the shell was qualitatively analyzed by the area of holes on the witness plate and the recovered fragments mass. Through theoretical analysis, established the functional relationship between the average mass of fragments and the relative energy output of warhead, obtained how the relative energy output of charge changed with different initial energy input. The results showed that the change of input energy could lead to obvious variation in fragment characteristics, and could also control the output of charge. When the igniter mass increases from 1.55 g to 5.00 g, the relative energy output of the charge increases by 26.28%. Excessive initial input energy will destroy the shell confine in advance, resulting in a decrease in the relative energy output of charge.     

杀伤爆破弹在反坦克作战中的应用

分析了坦克装甲防护系统与反坦克武器系统的现状和发展趋势,提出了以杀伤爆破弹反坦克的思想,分析了杀伤爆破弹反坦克的可行性和毁伤机理,并通过试验进行了验证,提出了测试杀爆弹的破片和冲击波综合毁伤效果的方案,对我军反坦克武器的发展具有一定的借鉴意义。