A spherical cavity expansion model for penetration of ogival-nosed projectiles into concrete targets with shear-dilatancy

A dynamic spherical cavity-expansion penetration model is suggested herein to predict the penetration and perforation of concrete targets struck normally by ogivalnosed projectiles.Shear dilatancy as well as compressibility of the material in comminuted region are considered in the paper by introducing a dilatant-kinematic relation.A procedure is first presented to compute the radial stress at the cavity surface and then a numerical method is used to calculate the results of penetration and perforation with friction being taken into account.The influences of various target parameters such as shear strength,bulk modulus,density,Poisson’s ratio and tensile strength on the depth of penetration are delineated.It is shown that the model predictions are in good agreement with available experimental data.It is also shown that the shear strength plays a dominant role in the target resistance to penetration.     

弹体高速侵彻混凝土的效应实验

利用高速侵彻设备进行了不同条件下弹体高速侵彻混凝土系列实验,探讨了高速撞击条件下弹体 侵彻能力、弹体侵彻稳定性、弹体变形和破坏等问题,揭示了混凝土中半流体侵彻阶段的典型特征:刚体侵彻 深度上限和对应的刚体侵彻初速上限、弹道弯曲、弹体严重侵蚀且伴随弯曲/断裂等。     

反钢筋混凝土串联聚能装药技术研究

根据钢筋混凝土目标的特点,提出了一种高速杆流与低速杆流相结合的新型串联聚能装药结构。利用有限元软件分别对前级装药、后级装药的成型过程进行了数值仿真。在此基础上开展了系列串联聚能装药毁伤钢筋混凝土目标的静破甲实验。结果表明:该串联装药可有效提高对钢筋混凝土目标的毁伤能力,能起到对钢筋混凝土的扩孔作用。实验和数值仿真计算结果都表明该串联装药在对付钢筋混凝土、机场跑道、多层间隔靶等反硬目标串联型战斗部中有较好的应用前景。     

An experimental technique to measure projectile deceleration history during normal penetration into plain concrete

The present paper presents a new experimental method to measure the deceleration time history of projectiles penetrating into concrete in full-size test. The experiment can be carried out by using an onboard accelerometer to measure the projectile deceleration history and the data are transmitted to a ground recording system. With this experimental method, a series of tests on hemisphere-nose steel projectiles penetrating normally into plain concrete at the velocity region 150–400 m/s have been executed and the deceleration histories obtained. The high frequency portion in the deceleration data has been investigated and proved to be the structure response of projectile. The characteristics of deceleration history have also been analyzed and discussed.     

Meshfree particle simulation of the detonation process for high explosives in shaped charge unlined cavity configurations

The numerical simulation of the detonation of a high explosive (HE) is generally not an easy task for traditional grid based methods. Smoothed particle hydrodynamics (SPH) method, as a meshfree, Lagrangian and particle method, provides a very attractive approach in dealing with large deformations and large inhomogeneities in the extremely transient high explosive detonation and later expansion process. This paper presents the application of SPH to simulate and analyze the detonation process of high explosive in shaped charge. A three-dimensional SPH code is developed and applied to simulate the shaped charge detonation process in different scenarios. It is observed that for high explosive in a shaped charge, the detonation produced gaseous products experience strong convergence that forms an extremely high-pressure gas jet. Factors such as different charge cavity shapes and different detonation models lead to quite different behavior of the gas jet convergence and later divergence. Further analyses reveal that a critical value for the charge head length exists. Beyond this critical value, increasing the charge head length will not result in improvement on the gas jet convergence performance.Received: 11 March 2002, Accepted: 9 December 2002, Published online: 28 April 2003     

聚能射流形成数值模拟

基于网格自适应方法,ALE方法和SPH方法模拟了聚能射流形成过程.分析了射流头部速度随时间的变化关系,初始时刻位于药形罩不同位置的金属形成射流后的速度分布情况以及射流形成后沿射流方向射流整体速度分布情况.对比了三种方法用于模拟聚能射流形成问题的特点以及与实验的近似程度.数值模拟结果与射流形成过程与机理一致,可以体现射流形成特点,且SPH方法计算结果与实验数据最为接近.     

约束及增韧对氧化铝陶瓷抗射流侵彻性能的影响

基于DOP实验方法开展了2种约束氧化铝陶瓷抗射流侵彻性能系列实验研究,分别获取了AD95陶瓷及10%氧化锆增韧陶瓷抗射流侵彻过程的侵彻深度-时间（P-t）曲线及他们在验证靶上的剩余穿深,并与45钢的抗侵彻数据进行了对比。结果表明:2种陶瓷抗射流侵彻的防护因数均大于1;约束陶瓷抗射流侵彻能力得到了较大提高;增韧陶瓷抗射流侵彻能力优于AD95陶瓷。基于实验结果分析了约束陶瓷抗射流侵彻的机理,提出约束边界反射产生的回爆对射流稳定性的干扰是约束陶瓷抗射流侵彻能力提高的主要原因。     

聚能装药的欧拉数值模拟

用二维有限差分欧拉程序MEPH2Y模拟了聚能装药的作用过程,包括爆轰波的形成、传播及与其他介质的相互作用,高温高压下射流（或射弹）的形成、延展、减压、断裂,射流（或射弹）对靶的侵彻及靶的成坑和动态响应等过程。介绍了程序所用的数学模型、数值方法,以及模拟的部分问题与实验结果的比较。结果表明,数值模拟结果与实验结果符合较好。     

Jet formation and penetration mechanism of W typed shaped charge

Existing classical shaped charges are well known for their longer jets capable of achieving large hole depth to hole diameter ratios in metallic targets. However, in some situations, there arises demand to obtain 1：1 ratio for hole depth to hole diameter which is beyond normal shaped charges capability. A new variant of shape charge, named W typed shape charge （WSC）, is proposed in this paper, which can meet the demand of 1：1 ratio, and is based on the geometry that can produce annular jets upon proper initiation scheme. In this paper, we present formation and penetration results of WSC based on three different schemes. We also show that not all WSC designs can form annular jets, only annularly initiated WSC, which also fulfils the ＂Internal-External Liners Equal-Impulse＂ criterion, has the capability to form annular jet. The experimental and numerical results show that when the ratio between annular initiation ring diameter and the charge diameter is 0.75, an annular jet is formed, which was also supported by high speed photographs performed in vacuum. 2D numerical simulations are performed with indigenously developed simulation software, where Eulerian approach with multi-material interface tracking algorithm is utilized, to find various mechanisms involved during jet formation process. The calculation results are found in good agreement with the experimental results, indicating that the interface treatment algorithm proposed in this paper can not only deal with large deformation problem, but also depict clearly the variation of materials interface. It is especially suitable for simulation of the process from liner collapse to formation of shaped charge jet.     

聚能射流三维数值模拟

研究三维多介质界面处理及数值模拟问题。采用拉格朗日法、欧拉法相结合的方法在矩形网格上离散差分基本方程组;在欧拉步中引入模糊方法处理界面,计算各输运量;编写了数值模拟程序,并对线型装药金属罩聚能射流模型进行模拟。证明模糊界面描述和模糊输运计算有效、可行。     

NORMAL EXPANSION THEORY FOR PENETRATION OF PROJECTILE AGAINST CONCRETE TARGET

Based on the equations which describe the dynamic behavior of material under high-velocity and high-pressure shock, corresponding equations at shock front whose surface is general space curve surface were established. For concrete material, a normal expansion theory was proposed by which some deceleration about time history of the projectile can be analytically given. This normal expansion theory is not only suitable for spherical and cylindrical-nose projectile, but also suitable for other general nose projectile, for example conical nose or ogive-nose. And it is not only suitable for perpendicular shock but also for oblique shock.     

模拟长杆弹侵彻混凝土靶的MCA方法

采用改进的移动元胞自动机法数值软件,对长杆弹侵彻混凝土靶进行了二维数值模拟,给出了弹靶的破坏变形过程,得到了侵彻深度与冲击速度的关系曲线。数值模拟结果与已有的实验现象吻合较好,说明该计算方法可以有效地计算和模拟高速侵彻问题。     

长杆弹对混凝土的侵爆效应

对适用于长杆弹在混凝土介质中侵彻和爆炸全过程的三维数值模拟方法和技术进行了研究。描述了进行相应数值模拟的有关方法和关键技术。确定了靶体C30混凝土材料所使用的本构模型及其相应的参数。对卵形头长杆弹在C30混凝土中侵彻到一定深度再爆炸的全物理过程进行了三维数值模拟,分别给出了C30混凝土靶体在侵彻和爆炸作用下的破坏效应图像。将侵彻计算图像与实验结果进行了比较,两者定性符合。     

Modeling on mass abrasion of kinetic energy penetrator

An engineering model on mass abrasion of kinetic energy penetrator is presented to predict the nose shape and mass loss of the residual projectile after high-speed penetration into concrete. The experimental analysis indicates that the kinetic energy of penetrator (i.e., mass and velocity of projectile) and the hardness of aggregate of concrete significantly affect the mass abrasion of projectile. A theoretical upper limit exists for the mass loss. More general relationship between mass loss and impact function I of projectile is constructed. Graphical discussion declares that the most mass loss occurs on the nose of the projectile and the eroding nose approaches to an ogival shape with a smaller value of caliber-radius-head (CRH). A relative rate of mass abrasion on ogive-nose is further defined and analyzed. The mass loss from abrasion on kinetic energy (KE) penetrator may be evaluated through the variation of nose shape.     

Analysis of penetration of axisymmetric projectiles into semi-infinite targets

The process of penetration of a projectile into a semi-infinitetarget is studied in this paper. Using certain assumptions, the propagation of plastic wave in the target is analyzed and the pressure on the surface of penetrator is given. The results calculated from the formulas of this paper agree well with experimental data and numerical results.     

Experimental and theoretical investigation of the failure behavior of a reinforced concrete target under high-energy penetration

The dynamic mechanical properties of concrete and reinforced concrete targets subjected to high-speed projectile impact loading have a significant influence on the impact resistance of protective structures.In this study,high-speed projectile penetration and perforation of concrete and reinforced concrete structures was carried out to determine the high-energy impact loading.The failure behaviors of projectile penetration and perforation of the concrete and reinforced concrete targets were investigated,and the destruction characteristics of the targets were measured.An analytical model was established using the principle of minimum potential energy.The results show that the theoretical predictions are consistent with the experimental data,indicating that the energy method is effective for predicting the dynamic mechanical properties of concrete and reinforced concrete targets under high-speed projectile penetration.     

A model of high speed penetration into ductile targets

A model developed by Mileiko et al. [J. Appl. Mech. Tech. Phys. 5 (1981) 711–713; Theor. Appl. Fracture Mech. 21 (1994) 9–16] describing a high speed penetration of an impactor into a ductile target is generalized.     

考虑刚性弹弹头形状的混凝土(岩石)靶体侵彻深度半理论分析

基于动力球型空腔膨胀理论和冲击成坑+钻孔区两阶段侵彻模型,以截卵形弹头弹体为例,运 用曲面积分,引入表征弹头形状和弹靶摩擦效应的量纲一系数、质量比和冲击因子,提出了综合考虑弹头形状 变化、成坑区深度、弹靶摩擦阻力的混凝土和岩石靶体的刚性弹垂直侵彻深度的计算公式。该公式在相关参 数取特殊值时,可退化为经典的侵彻深度计算公式。通过与8组不同弹头形状弹体冲击混凝土和岩石靶体的 侵彻实验数据、已有10个(半)经验公式计算结果对比,验证了本文公式的适用性。并结合实验和参数影响分 析,给出了混凝土和岩石靶体的弹靶摩擦系数和与冲击因子相关的不同弹头形状弹体成坑系数的建议值。     

EFP对有限厚靶板侵彻过程及后效研究

描述了爆炸成型弹丸(explosive formed projectile,EFP)对有限厚靶板的侵彻过程,建立了计算EFP对有限厚靶板侵彻过程参数的一维分析模型。基于该模型编制了程序代码,对EFP侵彻有限厚靶板的后效参量及极限穿透速度进行了计算,并和试验结果进行了比较。证明该模型能较准确地对EFP侵彻有限厚靶板后效参量进行计算。