基于层裂机理的弹体侵彻混凝土的终点弹道研究

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。     

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。     

Fabrication of AA7005/TiB2-B4C surface composite by friction stir processing: Evaluation of ballistic behaviour

The present work aims to enhance the ballistic resistance of AA7005 alloy by incorporating the TiB₂ and B₄C ceramic reinforcement particles. Surface composites with different weight fractions of TiB₂ and B₄C particles were processed by friction stir processing. Micro-hardness and depth of penetration tests were carried out to evaluate the ballistic properties of the surface composites. The surface hardness of the composite was found to be nearly 70 HV higher than base alloy. The depth of penetration of the steel projectile was 20–26 mm in the composites as compared to 37 mm in the base alloy. Ballistic mass efficiency factor of the surface composite was found to be 1.6 times higher than base alloy. This is mainly attributed to the dispersion strengthening from the reinforcement particles.     

A new look on the electric spark sensitivity of nitramines

Electric spark energy, E_ES, for a 50% probability of initiation of the 14 nitramines was determined using a measuring instrument in which the electrodes are in direct contact with the sample. Indirectly proportional relationships were established between the logarithm of the E_ES values and the length of the longest N–N bond in the nitramine molecule. This finding is compatible with the mechanism of the first step in the electro-reduction of the nitramine grouping. Directly proportional relationships were found to exist between the E_ES values and the crystal lattice free volumes, ΔV (i.e. an increase in the ΔV values increases the nitramine's resistance to electric sparks) but there were several nitramines with the opposite course of this relationship. Also a semilogarithic relationships between the E_ES values and a ratio of intrinsic volumes of molecule, V_int, to the ΔV values were described as well as ambiguous linear dependence between these energies and a sum of the positive and negative extremes of the molecular surface electrostatic potentials, V_S,Σ. Several nitramines studied (always the same ones) display roughly the same distribution in the coordinate systems of relationships with lengths of the longest N–N bonds, the V_int/ΔV ratio and the sum V_S,Σ as the independent variables. It was found that, typically, such relationships start from a single identical point, in effect a point corresponding to data for a structural unit from which the studied nitramines can be hypothetically generated, and/or are converging on another point, often the one corresponding to the data for HNIW. All the findings point to a fundamental influence of the intermolecular forces on reactivity of nitramines exposed to electric sparks.     

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.     

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。     

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.     

Ballistic response of armour plates using Generative Adversarial Networks

It is important to understand how ballistic materials respond to impact from projectiles such that informed decisions can be made in the design process of protective armour systems. Ballistic testing is a standards-based process where materials are tested to determine whether they meet protection, safety and performance criteria. For the V₅₀ ballistic test, projectiles are fired at different velocities to determine a key design parameter known as the ballistic limit velocity (BLV), the velocity above which projectiles perforate the target. These tests, however, are destructive by nature and as such there can be considerable associated costs, especially when studying complex armour materials and systems. This study proposes a unique solution to the problem using a recent class of machine learning system known as the Generative Adversarial Network (GAN). The GAN can be used to generate new ballistic samples as opposed to performing additional destructive experiments. A GAN network architecture is tested and trained on three different ballistic data sets, and their performance is compared. The trained networks were able to successfully produce ballistic curves with an overall RMSE of between 10 and 20 % and predicted the V₅₀ BLV in each case with an error of less than 5 %. The results demonstrate that it is possible to train generative networks on a limited number of ballistic samples and use the trained network to generate many new samples representative of the data that it was trained on. The paper spotlights the benefits that generative networks can bring to ballistic applications and provides an alternative to expensive testing during the early stages of the design process.     

球形头部弹丸侵彻运动靶板的数值模拟

为研究球形头部弹丸高速侵彻运动靶板的侵彻规律,运用LS-DYNA动力分析软件仿真研究了不同条件下球形头部弹丸对靶板的正侵彻效应,获得了运动靶板厚度、材料和弹丸着速3种参数对侵彻过程中弹丸弹道偏移、翻转角度和剩余速度的响应规律。结果表明,随着着速的提高,弹丸翻转幅度和弹道偏移量逐渐减小;随着靶板厚度的增加,弹丸正向翻转角度和轴向剩余速度显著减小,而弹道偏移量增大;3种材料运动靶板中,4340钢靶对弹丸弹道偏移、翻转角度和剩余速度的影响最大,Weldox460钢次之,LY12铝最小。     

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.     

爆炸成型弹丸侵彻靶板的数值仿真

基于LS-DYNA的动力学分析通用有限元程序,对爆炸成型弹丸形成和侵彻靶板过程进行了数值仿真。建立了数值仿真模型,利用数值模拟技术实现了弹丸的形成以及不同药型罩结构对爆炸成型弹丸形成的影响,实现了侵彻过程中弹丸的变形与靶板的破坏状况可视化,同时对仿真结果进行了分析。通过对爆炸成型弹丸侵彻靶板的数值仿真,为开展爆炸成型弹丸毁伤机理研究奠定了良好的基础。     

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。     

A single server queue with arrival rate dependent on server breakdowns

This paper considers a single server queueing system that alternates stochastically between two states: operational and failed. When operational, the system functions as an M/E_k/1 queue. When the system is failed, no service takes place but customers continue to arrive according to a Poisson process; however, the arrival rate is different from that when the system is operational. The durations of the operating and failed periods are exponential with mean 1/cβ and Erlang with mean 1/cβ, respectively. Generating functions are used to derive the steady-state quantities L and W, both of which, when viewed as functions of c, decrease at a rate inversely proportional to c². The paper includes an analysis of several special and extreme cases and an application to a production-storage system.     

Partial penetration of annular grooved projectiles impacting ductile metal targets

Changing and optimizing the projectile nose shape is an important way to achieve specific ballistic performance. One special ballistic performance is the embedding effect, which can achieve a delayed high-explosive reaction on the target surface. This embedding effect includes a rebound phase that is significantly different from the traditional penetration process. To better study embedment behavior, this study proposed a novel nose shape called an annular grooved projectile and defined its interaction process with the ductile metal plate as partial penetration. Specifically, we conducted a series of low-velocity-ballistic tests in which these steel projectiles were used to strike 16-mm-thick target plates made with 2024-O aluminum alloy. We observed the dynamic evolution characteristics of this aluminum alloy near the impact craters and analyzed these characteristics by corresponding cross-sectional views and numerical simulations. The results indicated that the penetration resistance had a brief decrease that was influenced by its groove structure, but then it increased significantly-that is, the fluctuation of penetration resistance was affected by the irregular nose shape. Moreover, we visualized the distribution of the material in the groove and its inflow process through the rheology lines in microscopic tests and the highlighted mesh lines in simulations. The combination of these phenomena revealed the embed-ment mechanism of the annular grooved projectile and optimized the design of the groove shape to achieve a more firm embedment performance. The embedment was achieved primarily by the target material filled in the groove structure. Therefore, preventing the shear failure that occurred on the filling material was key to achieving this embedding effect.     

横向运动板对长杆弹侵彻的偏转作用

弹体的攻角直接影响其侵彻能力,而横向运动板能使弹体发生偏转改变攻角,间接影响弹体的侵彻能力。在一定条件下,推导长杆弹在单层横向运动板作用下的偏转模型,并利用有限元仿真软件ANSYS／LS-rDYNA对长杆弹侵彻横向运动板的过程进行数值模拟。通过对偏转模型及仿真结果的分析,发现两者较为相符。研究结果显示：长杆弹侵彻横向运动板时,弹体会发生偏转,偏转的角速度先增后减,最后为0rad／s,此时偏转角最大;弹体速度方向也会发生偏转,其最终偏转角与弹体轴线的偏转角接近。     

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.     

Investigation on the spatial distribution characteristics of behind-armor debris formed by the perforation of EFP through steel target

The behind-armor debris (BAD) formed by the perforation of an EFP is the main damage factor for the secondary destruction to the behind-armor components. Aiming at investigating the BAD caused by EFP, flash X-ray radiography combined with an experimental witness plate test method was used, and the FEM-SPH adaptive conversion algorithm in LS-DYNA software was employed to model the perforation process. The simulation results of the debris cloud shape and number of debris were in good agreement with the flash X-ray radiographs and perforated holes on the witness plate, respectively. Three-dimensional numerical simulations of EFP's penetration under various impact conditions were conducted. The results show that, an ellipsoidal debris cloud, with the major-to-minor axis radio (a/b) smaller than that caused by shaped charge jets, was formed behind the target. With the increase of target thickness (h) and decrease of impact velocity (v₀) and obliquity (θ), the value of a/b decreases. The number of debris ejected from target is significantly higher than that from EFP. Based on the statistical analysis of the spatial distribution of the BAD, An engineering calculation model was established considering the influence of h, v₀ and θ. The model can with reasonable accuracy predict the quantity and velocity distribution characteristics of BAD formed by EFP.     

Structure design and property adjustment of new cage rich-nitrogen pentazolyltetraazacubanes as potential high energy density compounds

In this study, based on two attractive energetic compounds pentazole (PZ) and tetraazacubane (TAC), a new family of high energy and high nitrogen compounds pentazolyltetraazacubanes were designed. Then, a different number of NH₂ or NO₂ groups were introduced into the system to further adjust the property. The structures, properties, and the structure-property relationship of designed molecules were investigated theoretically. The results showed that all nine designed compounds have extremely high heat of formation (HOF, 1226-2734 kJ/mol), good density (1.73–1.88 g/cm³), high detonation velocity (8.30–9.35 km/s), high detonation pressure (29.8–39.7 GPa) and acceptable sensitivity (ΔV: 41-87 ų). These properties could be effectively positive adjusted by replacing one or two PZ rings by NH₂ or/and NO₂ groups, especially for the energy and sensitivity performance, which were increased and decreased obviously, respectively. As a result, two designed pentazolyltetraazacubanes were predicted to have higher energy and lower sensitivity than the famous high energy compound in use 1,3,5,7-tetranitro-1,3,5,7-tetraazacyclooctane, while two others have better combination property than 1,3,5-Trinitro-1,3,5-triazacyclohexane. In all, four new pentazolyltetraazacubanes with good combination performance were successfully designed by combining PZ with TAC, and the further property adjustment strategy of introducing a suitable amount of NH₂/NO₂ groups into the system. This work may help develop new cage energetic compounds.     

隐身榴弹表面吸波材料的抗压强度分析

在火炮发射隐身榴弹过程中,由于隐身榴弹的静不平衡、动不平衡,造成隐身榴弹在膛内运动过程中碰撞膛线,其表面涂敷的吸波材料将承受较大的接触力.发射过程中应保证不损伤吸波材料表面,确保吸波材料具有良好的吸波性能、不增加隐身榴弹的雷达散射截面.从理论上计算了隐身榴弹与膛线之间的接触力,为研制隐身榴弹用的抗压吸波材料提供了设计指标.