高速长杆弹对有限直径金属厚靶的侵彻分析EI北大核心CSCD

采用基于统一强度理论的有限柱形空腔膨胀理论,结合Tate磨蚀杆模型,考虑中间主应力、靶体侧面自由边界的影响及高速(1500 m/s~2200 m/s)侵彻弹体的变形和消蚀现象,推导线性硬化有限直径金属厚靶在长杆弹高速侵彻时的空腔壁径向应力,建立侵彻阻力和侵彻深度计算模型,并利用MATLAB软件编程求解,分析包括强度准则差异在内的弹道终点效应的一系列影响因素。结果表明:该文计算方法可以更好地描述弹靶的动态响应,还可以得到一系列基于不同强度准则的侵彻阻力和深度的解析解、对不同靶弹半径比的靶材侵彻深度的区间范围进行有效预测;强度参数、弹体撞击速度和靶体半径对有限直径金属靶体的抗侵彻性能均有较大的影响,其中强度参数值由1减小为0时,侵彻阻力可减小33.33%,侵彻深度可增加15.93%;当靶弹半径比小于等于20时,侵彻深度增大的程度显著,当靶弹半径比由19.88减小至4.9时,侵彻阻力减小了41.30%,侵彻深度增长了32.61%,此时靶体边界尺寸对侵彻性能的影响很大,不能继续按照半无限靶体进行计算。     

刚性尖头弹侵彻圆柱形金属厚靶分析模型

考虑金属厚靶侧面自由边界的影响,研究了刚性尖头弹侵彻有限平面尺寸金属厚靶问题。基于有限柱形空腔膨胀理论和线性硬化材料模型,得到了空腔壁径向压力的解析式,建立了刚性尖头弹侵彻有限直径圆柱形金属厚靶工程模型。与试验和数值模拟比较表明,该文工程模型计算精度很好。基于所建立的工程模型,研究了靶板半径对侵彻深度和侵彻阻力的影响,结果表明:当靶板与弹丸半径比值小于20时,靶板半径对侵彻阻力和侵彻深度有显著影响,不能按无限尺寸靶板计算;当靶板与弹丸半径比值大于20时,靶板半径对侵彻阻力和侵彻深度影响较小,可近似按无限尺寸靶计算。     

有限柱形空腔膨胀理论及其应用

为研究有限平面尺寸金属厚靶侵彻问题,提出了有限柱形空腔膨胀理论.考虑侧面自由边界,将理想弹塑性材料的空腔膨胀过程分为弹塑性阶段和塑性阶段,得到了空腔壁径向压力的解析解.基于Tate磨蚀杆模型,应用有限柱形空腔膨胀理论计算靶的侵彻阻力,建立了长杆弹侵彻有限直径圆柱形金属厚靶工程模型.与现有文献试验比较表明,文中工程模型计算的侵彻深度与弹道试验结果吻合较好.     

中低速长杆弹侵彻半无限岩石靶的动态响应研究

该文将统一强度理论与岩石材料动力强度依赖应变率效应的物理模型相结合,建立了岩石材料在侵彻等动力荷载作用下的率型动态统一强度准则。基于修正的土盘浮动锁应变模型,考虑应变率效应、中间主应力效应、强度准则差异和弹头滑动摩擦的影响,推导了土盘整体平均锁应力和整体平均锁应变的表达式。采用MATLAB数值计算软件和四阶Runge-Kutta算法编制计算程序,求解了中低速（V ≤ 900 m/s）长杆弹侵彻条件下弹体的侵彻深度,研究了侵彻过程中弹体的运动规律及靶体的动态响应,分析了各参数对弹体侵深的影响特性。研究表明:该文计算方法可以较好地描述整个侵彻过程中弹、靶的动态响应,还可以得到一系列基于不同强度准则的侵彻深度的解析解,有效地预测弹体侵深的上限值和下限值;中间主应力效应、强度准则差异和弹头滑动摩擦对岩石靶的抗侵彻性能具有重要影响。     

半球头长杆弹高速侵彻半无限厚靶临界速度理论模型

高速/超高速侵彻问题一直是武器设计者和防护工程专家关注的焦点问题之一。随着撞击速度的提高,弹体由刚体侵彻转入变形、流体侵彻状态,进而导致侵彻深度不再随速度呈单一上升趋势。为预测大着速范围下弹体的侵彻状态,基于弹体质量守恒、动量守恒及弹体动态强度计算方法,建立了弹体侵彻过程中的动力学平衡方程,进而确定高速侵彻临界速度。在与已有实验结果对比验证的基础上,分析了不同弹靶参数对侵彻临界速度的影响规律。结果表明:随着弹体静态屈服强度增大,弹体的变形长度减小,弹体的临界侵彻速度增大;弹靶塑性波波速等参数对高速侵彻状态临界速度也有显著影响。     

弹体高速侵彻陶瓷复合厚靶的计算模型研究

针对平头弹高速撞击陶瓷复合厚靶的问题,以集中质量法为基础并考虑靶体的内摩擦效应对Fellows模型加以改进,建立侵彻过程的理论计算模型并利用Matlab编程求得不同撞击速度下弹体侵彻复合靶体的侵彻深度,模型得到了试验结果和数值计算结果的验证。参数分析的结果表明,陶瓷厚度的增加可提高复合靶体的抗侵彻能力,但随着初始撞击速度的提高,弹体的侵彻深度增长曲线趋于平缓。     

长杆弹超高速侵彻半无限靶理论模型的对比分析与讨论

分别基于六组典型长杆弹超高速侵彻金属靶体以及三组长杆弹侵蚀侵彻混凝土靶体的实验数据,对经典一维AT模型及其五个改进模型对弹体侵彻深度的预测能力进行了评估,并讨论了靶体等效强度(Rt)变化以及弹体的轴线速度变化。计算结果表明,对于长杆弹高速侵彻金属靶体的分析计算,应首选AW模型,其次为LW模型。而对于混凝土靶体,已有有限的实验数据表明,上述六个模型对于长杆弹侵蚀侵彻混凝土靶体侵彻深度预测均不适用,其主要原因在于Rt不能反映超高速侵彻下混凝土靶体的响应。最后基于分析结果,给出了长杆弹侵蚀侵彻混凝土靶体进一步的研究方向。     

刚性弹体对素混凝土厚靶侵彻响应的LDPM数值模拟研究EI北大核心CSCD

基于一种新的细观离散元模型Lattice Discrete Particle Model(LDPM),该研究建立了刚性弹侵彻素混凝土厚靶的数值仿真模型。对LDPM基本假设和细观模型构建简单介绍,结合三轴压缩响应曲线,对23 MPa强度素混凝土进行LDPM参数标定。通过对比弹体减速度和侵彻深度试验值,验证数值模型对于混凝土厚靶侵彻问题的适用性。LDPM模拟弹体恒定速度侵彻混凝土厚靶,获得侵彻行程中侵彻阻力变化曲线,结合Forrestal阻力公式得到靶体静态阻应力。仿真结果表明,尖卵形弹头不同CRH值以及侵彻速度对靶体静态阻应力基本没有影响;弹径为最大骨料直径3倍、6倍和8倍的弹体受到靶体静态阻应力分别为260 MPa、175 MPa和163 MPa。该结果对混凝土侵彻缩比实验研究具有重要的实际工程意义。     

刚性弹体对素混凝土厚靶侵彻响应的LDPM数值模拟研究

基于一种新的细观离散元模型Lattice Discrete Particle Model(LDPM),该研究建立了刚性弹侵彻素混凝土厚靶的数值仿真模型。对LDPM基本假设和细观模型构建简单介绍,结合三轴压缩响应曲线,对23 MPa强度素混凝土进行LDPM参数标定。通过对比弹体减速度和侵彻深度试验值,验证数值模型对于混凝土厚靶侵彻问题的适用性。LDPM模拟弹体恒定速度侵彻混凝土厚靶,获得侵彻行程中侵彻阻力变化曲线,结合Forrestal阻力公式得到靶体静态阻应力。仿真结果表明,尖卵形弹头不同CRH值以及侵彻速度对靶体静态阻应力基本没有影响;弹径为最大骨料直径3倍、6倍和8倍的弹体受到靶体静态阻应力分别为260 MPa、175 MPa和163 MPa。该结果对混凝土侵彻缩比实验研究具有重要的实际工程意义。     

正六边形钢管约束混凝土靶边长对抗侵彻性能影响的试验研究

钢管约束混凝土在防护结构中具有广阔的应用前景。正六边形钢管约束混凝土靶具有优良的抗侵彻性能,其抗单发和多发打击性能明显优于半无限混凝土靶。为了研究钢管边长对抗侵彻性能的影响,进行了12. 7 mm钨芯穿甲弹(撞击速度600～836 m/s)侵彻不同边长正六边形钢管约束混凝土靶试验,得到了靶的破坏模式和主要损伤参数。结果表明:钢管边长对侵彻深度和侵彻阻力有较明显的影响,边长越小,侵彻深度越小,侵彻阻力越大;撞击速度约600m/s、钢管边长由66 mm减小到55 mm时,侵彻深度可减小约19%,侵彻阻力增大约17%;正六边形钢管约束混凝土靶的侵彻深度随着撞击速度的增大近似线性增加。     

弹体冲击混凝土半无限靶的侵彻阻力与深度计算

假设弹体是刚性的,将弹体侵彻冲击作用下的混凝土靶体划分为粉碎区、径向裂缝弹性区与原始弹性区,并认为侵彻粉碎区域内的混凝土材料处于类似于流体动力学状态,可采用水动力模型.根据伯努利方程推得了细长杆弹侵彻阻抗力的公式,进而求出锥形弹头侵彻阻抗力的等效平面解,得到了弹体的侵彻深度.利用实弹进行了以不同速度侵彻不同强度的混凝土靶体的验证计算,并与多个经验公式做了对比.结果表明,该模型是合理的,与经验公式相比计算结果趋于保守.     

主控因素对异型头弹丸半侵彻金属靶深度的影响特性研究

为研究异型头弹丸半侵彻金属靶的侵深特性,基于量纲方法对影响侵深的主控因素进行了分析,采用弹道枪加载和LS-DYNA软件对异型头弹丸半侵彻金属靶的作用过程进行了试验和数值模拟研究,分析了异型头弹丸结构、弹丸初速、靶板厚度等因素对侵彻深度的影响规律,获得了侵深随弹丸初速以及靶板厚度的变化曲线。研究结果表明,弹丸初速和靶板厚度是影响侵彻深度的关键因素,并拟合得到了弹丸初速和靶板厚度综合影响下的半侵彻侵深经验公式。研究结果可为半侵彻作用的研究及新型侵彻的工程计算方法等提供参考。     

Penetration analysis for geo-material based on unified strength criterion

A unified strength criterion is applied for penetration analysis of geo-materials. Based on the cylindrical cavity-expansion theory the relation between the radial traction on the cavity surface and the impact velocity of a rigid projectile is derived. The finial penetration depth of the projectile is analytically obtained and the effect of strength criterion on the penetration depth is investigated. By comparing with existing test results, it is found that the proposed penetration model is effective in the analysis of a rigid projectile penetrating into a semi-infinite geo-material target.     

An investigation on mass loss of ogival projectiles penetrating concrete targets

Mass loss of an ogival projectile during its normal penetration in concrete target was investigated in this paper. Experiments of 38CrSi short-rod projectiles with ogival nose shape penetrating into concrete targets were conducted in the striking velocity range of 500–1500 m/s. Discussions revealed that projectile mass loss derives mainly from the nose part for both short-rod and long-rod projectiles during the penetration process. Furthermore, an engineering model was proposed to determine upper limit of rigid penetration regime as the maximum value of the striking velocity, which was based on the feature of projectile mass loss in the hydrodynamic transition between rigid penetration regime and semi-hydrodynamic penetration regime. Good agreements are obtained between engineering predictions and experimental results.     

Penetration of grout and concrete targets with ogive-nose steel projectiles

We conducted depth of penetration experiments into grout and concrete targets with ogive-nose steel projectiles. Powder guns launched 0.064 kg, 12.9 mm diameter projectiles into grout targets with unconfined compressive strengths of 13.5 M Pa (2.0 ksi) and 21.6 MPa (3.1 ksi). For the concrete targets, powder guns launched projectiles with length-to-diameter ratios of 10; a 0.48 kg, 20.3 mm diameter rod, and a 1.60 kg, 30.5 mm diameter rod. Concrete targets had unconfined compressive strength of 62.8 M Pa (9.1 ksi) for the 0.48 kg rods and unconfined compressive strength of 51.0 MPa (7.4 ksi) for the 1.60 kg rods. For these experiments, penetration depth increased as striking velocity increased until nose erosion became excessive. Thus, we determined experimentally the striking velocities corresponding to maximum penetration depths. Predictions from a previously published model are in good agreement with data until nose erosion becomes excessive.     

Numerical–analytical model of penetration of long elastically deformable projectiles into semi-infinite targets

A new numerical–analytical model of penetration of long axisymmetric elastically deformable projectiles in semi-infinite targets is presented. A background of this model is the integral–differential equation of ballistics for non-deformable projectile. This equation is obtained on the basis of the Lagrange–Cauchy integral for non-stationary irrotational motion of an incompressible fluid, as well as the solutions for the quasi-static spherical cavity expansion problem in an infinite medium. The velocity field in a target is defined by actual projectile shape. The functional dependence of penetration velocity is determined for both elastic and rigid projectiles. The effect of forced elastic longitudinal oscillations on penetration velocity is estimated. An estimate is made for the critical impact velocity at which point the projectile plastically deforms causing irreversible changes in its shape, and also leads to instability of its trajectory in the target. This velocity depends on both elastic and strength characteristics of the projectile and target, their densities and projectile shape. Results from our penetration modeling are compared with existing experimental and calculated data.     

Cavity and crater depth in hypervelocity impact

We discuss the depth of cavities and craters caused by hypervelocity impacts as a function of impact parameters such as impact velocity, projectile and target densities, and projectile diameter, in two extreme cases: the penetration of intact projectiles at low impact pressure and the hemispherical excavation at very high impact pressure. The relations between the depth and the impact parameters are obtained. Then, previous experimental results are compiled; crater depth normalized by projectile diameter and the ratio of projectile and target densities is plotted for glass, plastic, and metal projectiles and metal, rock, ice, foam, sheet-stack, and aerogel targets. The trends of the data are consistent with the relations in the extreme cases.