穿甲/侵彻问题的若干工程研究进展

作为爆炸力学的一个分支,穿甲/侵彻力学是研究高速/超高速弹体撞击靶体后,钻入或穿透靶体的力学, 又称终点弹道学.综述作者及其合作者最近几年在穿甲及侵彻力学领域的若干工程研究工作,包括混凝土靶的侵彻和穿甲、控制刚性弹侵彻动力学的无量纲数、金属靶穿甲的理论模型、钻地弹的相关力学问题、穿甲弹体的破坏与失效等.同时也给出该领域的国外最新研究工作进展.      

脆性陶瓷靶高速侵彻/穿甲动力学的研究进展

近10年来, 有关陶瓷的材料特性和陶瓷及陶瓷复合靶的高速侵彻$\!/\!$穿甲动力学研究已成为国际冲击工程界的热点研究领域. 相关研究有着现实的军事需求和应用背景. 国内在该领域的研究工作相对较少. 本文着重给出陶瓷及陶瓷复合靶高速侵彻$\!/\!$穿甲动力学的国外研究现状.对陶瓷及陶瓷复合靶高速侵彻$\!/\!$穿甲的实验方法、作用机理和理论模型等进行综述, 介绍空腔膨胀模型在陶瓷侵彻力学中的应用以及脆性材料高速侵彻效应中的失效波效应. 文章最后给出近期可开展的工作建议.      

钢筋混凝土穿甲的数值模拟

比较了LS-DYNA中关于钢筋和混凝土相互作用的不同处理方式（即接触方法和耦合方法）对钢筋混凝土穿甲结果的影响。数值模拟S.J.Hanchak 等关于钢筋混凝土靶的穿甲实验,给出了弹靶的变形破坏过程。讨论了穿甲钢筋混凝土靶的撞击位置对终点弹道性能的影响,加深了钢筋对侵彻作用的认识。所确定的数值模拟方法可用于进一步讨论钢筋结构与尺寸、配筋率等参数对侵彻影响等问题的研究。     

ZL114A铝合金本构关系与失效准则参数的确定

针对航空发动机机匣材料ZL114A铝合金,构建描述该材料在较大温度范围下大变形及失效行为的材料模型。通过万能试验机及分离式霍普金森压杆试验装置测试ZL114A铝合金在常温准静态、高温和高应变率下的力学性能,分析温度和应变率对材料流动应力的影响。采用有限元程序和优化算法反求25～375℃内材料的硬化参数,结合高应变率(1 310～5 964 s^-1)下材料的动态行为关系,构建包含塑性应变、温度及应变率的经验型本构模型。开展缺口拉伸、缺口压缩等试验并建立相对应的有限元模型,获取材料在不同应力三轴度下的失效应变,标定分段形式的Johnson-Cook (J-C)失效准则参数。通过不同温度下的平板侵彻试验和数值模拟验证失效准则及其参数的有效性。结果表明,ZL114A铝合金具有明显的应变硬化、温度软化及高应变率强化特性;具有应力饱和特征的Hockett-Sherby (HS)硬化模型较为准确地描述材料大变形下的力学行为;构建的材料本构关系可以描述ZL114A铝合金在大应变、宽温度、高应变率下的力学行为;分段形式的失效准则具有预测不同温度下材料失效行为的能力。     

细长尖头刚性弹对金属靶板的斜侵彻/穿甲分析

给出细长尖头刚性弹（如尖卵、尖锥形）斜侵彻/穿甲金属靶的一个分析模型。在细长尖头弹对中厚度金属靶的斜穿甲中,韧性孔洞扩张为主要的穿甲机理;着靶初期,发生方向角的改变。研究表明,金属靶的斜穿甲仅由4个量纲一参数控制,即冲击函数I、弹体几何函数N、量纲一靶厚和撞击斜角。分析得到显式的侵彻深度、终点弹道极限、剩余速度和撞击方向改变角表达式。该模型可预期跳飞发生的临界条件。理论预期与实验结果吻合较好。     

基于无网格Galerkin法的穿甲侵彻数值模拟

将无网格Galerkin法与LS-DYNA软件相结合,建立了穿甲侵彻的分析模型,对三维球形弹体侵彻双层无限大钢靶板进行了数值模拟,解决了该过程中出现的负体积现象,并将结果与空穴膨胀理论和有限元法进行了对比,所得结果证实了无网格Galerkin法在模拟穿甲侵彻时的可行性与优越性.     

FeCrNi合金静动态物理本构模型研究

以金属材料塑性变形的位错动力学为基础,将FeCrNi合金的流动应力分解为非热应力和热激活应力两部分.通过对该合金屈服应力随温度变化特性、屈服应力的应变速率特性、孪晶组织的温度特性及位错组态的应变速率特性进行分析,认为非热应力不只是应变的函数,还与温度和应变速率相关,因此对Johnson-Cook模型方程形式进行修正以描述非热应力. 同时认为影响热激活应力的微结构参数主要为位错阻碍间距\Deltal, 定义并推导出表征\Delta l演化的g函数的表达式,将其引入Kocks的热激活方程,从而建立FeCrNi合金的物理型本构模型.该模型初步实现了对FeCrNi合金从室温到高温、从准静态到动态塑性变形行为的描述.      

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对穿甲弹准定常侵彻半无限厚靶 板的问题,提出了一个考虑应变率效应的包括带有蘑菇头的未碎弹体、弹的破碎及扩孔区、 靶的破坏和扩孔区的简化侵彻模型. 通过侵彻过程中简化模型各部分的力学守恒定律,得到 了侵彻问题的简化常微分方程组,并以分析和数值计算相结合的方法分析了弹、靶强度的应 变率效应及弹破碎应变的应变率效应对侵彻效果的影响. 数值计算结果跟实验结果对比基本 一致.     

冷却方式对高温后不同类型混凝土残余力学性能的影响研究

为了揭示高温后不同冷却方式对高强、普通及再生混凝土力学性能的影响,以历经温度和冷却方式为变化参数,对灾后的三类混凝土进行单轴抗压试验研究,获取了试件的质量变化率以及轴心受压应力-应变曲线,对比分析了高温后不同冷却方式下3种混凝土试件的峰值应力、峰值应变、弹性模量等力学性能指标的影响规律和能量耗散规律.结果 表明:喷水冷...     

长杆高速侵彻问题研究进展

由高密度金属制成的长杆弹在1.5～3.0 km/s的高速下具有很强的侵彻和贯穿能力,长杆高速侵彻问题现已成为穿甲侵彻领域的研究热点.本文综述了长杆高速侵彻问题的最新研究进展,首先介绍了长杆高速侵彻的基本概念、研究方法和理论模型;其次重点论述了研究中关注的突出问题与应用,包括弹靶材料性质、长杆弹头部形状、长径比效应与分段杆设计、陶瓷靶抵抗长杆侵彻与界面击溃和非理想长杆侵彻;最后对未来的研究工作提出一些建议.     

NEPE推进剂低高应变率下改进的黏-超弹本构模型

为研究低高应变率条件下NEPE推进剂的力学特性,通过电子万能试验机和分离式霍普金森杆装置,对NEPE推进剂进行了准静态和冲击实验,得到了不同应变率下（1.667×10?4～4 500 s?1）的应力-应变曲线。实验结果表明NEPE推进剂具有明显的非线性弹性和应变率敏感性,随着应变率的增加,材料的强度、屈服应力和弹性模量显著增加,与低应变率相比,高应变率条件下材料的应变率敏感性更高。在高速冲击下材料内部瞬间产生大量热量无法及时散发出去,使得材料内部温度升高,导致材料出现软化效应,力学性能降低。本文建立了一个非线性黏超弹本构模型,其中采用Rivlin应变能函数来描述稳态超弹响应部分,采用积分型本构模型来描述材料的动态黏弹性响应部分,考虑到松弛时间具有应变率相关性,本文采用了一个率相关松弛函数来替代传统的Prony级数形式。使用极慢速压缩实验数据对本构模型中的超弹部分进行拟合获得超弹参数,然后用准静态和动态实验数据对本构模型进行拟合得出其他参数。不同应变率下的预测曲线与实验曲线具有较好的重合度,证明了该模型可以很好地描述低高应变率下NEPE推进剂的力学特性。     

三轴试验土样剪切破坏过程的判别

本文在土工三轴试验中应用土样全表面变形数字图像测量系统,通过跟踪包裹土样的橡皮膜表面的标记点,得到加载过程中其全表面的变形和应变分布。根据土样表面的应变分布和实测的应力应变关系曲线,可以得到每一时刻土样表面的应力分布。于是,土样表面剪切破坏开始出现的时刻和剪切破坏带贯穿的时刻可分别依据应变和应力判定。依据应变,将橡皮膜上各点的轴向应变的拐点最晚出现的时刻作为剪切带完全贯穿的时刻;依据应力,将全部点中某一个或几个点最早达到峰值应力的时刻作为剪切带开始出现的时刻;土样各点相继达到应力峰值的过程就是剪切破坏的过程。以剪切破坏的起始点和剪切带贯穿的点为分界,土样剪切破坏过程可以划分成三个阶段:破坏前阶段、破坏阶段和破坏后阶段,在不同阶段土样具有不同的变形特点和变形机理。     

An extension of the time–temperature superposition principle to non-linear viscoelastic solids

An experimental data treatment is introduced to manage with the tensile test responses of highly non-linear viscoelastic solids such as solid propellants. This treatment allows the representation of a set of strain–stress curves by a single intrinsic non-linear response which is found independent of the experimental conditions of rate and temperature. To obtain this result, two independent normalization factors are applied both on the stress and strain axis. The requirement of a normalization factor applied to the strain measure produces a pseudo-strain which is found to be viscoelastic in nature. It is believed that the existence of such a viscoelastic strain measure is the characteristic feature of non-linear viscoelasticity. To confer some generality to the principle, the validity is also checked for volumetric and multiaxial stress response of solid propellant. To illustrate the potential application of the principle, it is applied to build up an idealized material database upon which numerical identification of constitutive non-linear models can be easily performed. Finally, generalization is extended to other filled elastomers such as a carbon black filled SBR.     

Characterization of 10% Ballistic Gelatin to Evaluate Temperature, Aging and Strain Rate Effects

Ballistic gelatin is widely used as a soft tissue simulant in physical surrogates for the human body to evaluate penetrating impacts and, more recently to evaluate blunt impact and blast loading effects on soft tissues. It is known that the properties of gelatin are sensitive to temperature and aging time, but this has not previously been quantified. The mechanical properties of 10% ballistic gelatin were measured using a compression test apparatus with temperature controlled platens to maintain the sample temperature at a fixed level. Penetration testing was undertaken using a standard BB impact test to assess the effect of aging. The gelatin was found to be within calibration after 3?days (72?h of aging), based on the standard penetration test. The material properties were evaluated using the stress at failure, strain at failure and material stiffness as characterized by the Neo-Hookean constitutive model. The stress at failure and material stiffness increased with decreasing temperature and increasing strain rate, as expected, while the strain at failure remained relatively constant for the test conditions considered (1 to 23??C, strain rate from 0.01 to 1.0?s^?1). The study showed that the penetration resistance was consistent after 72?h of aging, while the mechanical study demonstrated increasing failure stress and stiffness with decreasing failure strain at longer aging times, suggesting that these effects offset one another so that the penetration resistance remains relatively constant. The primary contribution of this study was to show the importance of temperature and aging time, through mechanical and penetration testing, to achieve appropriate and consistent response from ballistic gelatin.     

基于光学诊断的某新型含铝推进剂燃烧特性分析

为探究某新型含铝固体推进剂燃烧特性和规律，在模拟固体发动机的高压条件下，采用可调功率激光器结合高速摄影、发射光谱等光学诊断技术对该新型含铝固体推进剂开展了系统的点火及燃烧过程研究。通过对该推进剂的点火延迟、退移速率、燃烧温度以及团聚物颗粒尺寸的定量测量和分析，明确了该推进剂的点火延迟量级；证实此推进剂的退移速率严格遵循Summerfield燃速公式；判断出其最高燃烧温度高于3 300 K，且随压力增大而升高；通过对燃烧过程中发光凝聚相产物面积的量化分析得出推进剂产物中团聚物粒径尺寸受环境参数的影响规律。     

Dynamics of solid propellant motor composite casing under impact pressure

A dynamic behavior of solid propellant motor composite casing under the action of an internal impact pressure is treated. This pressure describes the engine operation. The thin-walled casing consists of the cylindrical shell and two bottoms. These bottoms are truncated hemisphere. The casing is clamped along two edges of the bottoms. A shear, a rotary inertia and stress–strain relations for an orthotropic material are accounted. Semi analytical method is suggested to analyze the structure stress–strain state. The thin-walled casing dynamic is described by large dimension system of the ordinary differential equations.     

双基推进剂的高应变率力学特性及其含损伤ZWT本构

为了解双基推进剂在冲击载荷下的力学特性及本构行为,利用材料试验机和分离式霍普金森压杆（SHPB）对双基推进剂进行了单轴压缩实验,并对实验数据的有效性进行了检验。用二波法对实验数据进行处理,得到了双基推进剂的应力应变曲线。实验结果表明:双基推进剂具有明显的应变率相关性,动态下屈服应力与静态下相比明显提高,且屈服应力表现为应变率对数的双线性关系;双基推进剂屈服应变表现为延脆转换特性,在低应变率下表现为延展性,高应变率下表现为冲击脆化特性。利用含损伤朱王唐（ZWT）本构模型对实验结果进行了拟合,得到了模型中的本构参数,并对损伤因子项进行了分析。通过模型预测曲线与实验曲线的对比,发现含损伤ZWT本构能较好地描述双基推进剂在0～0.14应变范围内的力学特性。     

The dependence of yield stress on strain rate as determined from ball-indentation tests

A ball-indentation experiment was conducted to explore the possibility of using this test for the investigation of strain-rate dependence of yield properties of materials. The initial velocities of indentation used were between 0.0002 and 3 ips. Force and depth of penetration were measured continuously during a test. Using these and the results given in a previous report, the dependence of yield pressure of the indentation test on penetration velocity is shown for a range of velocities from 0.0002 to 300 ips. Results are presented for annealed C1018 steel, annealed 1100 F and annealed 6061-T6 aluminums. For all materials tested, the dependence of yield stress on strain rate seems to be derivable from the ball-indentation results by using Tabor's empirical formulas and an equation relating strain rate and velocity of penetration. The increase of yield pressure over the range of indentation velocities is 100 percent for steel, 30 percent for 1100 aluminum and 20 percent for 6061 aluminum.     

Failure properties of a PBAN propellant in multiaxial stress fields

Experimental data have been obtained which duplicate the stress and strain field in a solid-propellant rocket-motor grain under pressurization. Development of a hollow ellipsoidal specimen has made possible the acquisition of these data. This test also allows a more thorough evaluation of the failure mechanism in multiaxial stress and strain fields. Failure data were obtained in the tensile-tensile-compressive (++?) stress and biaxial tensile-compressive (+?) strain octants by applying pressure to the internal surface of an ellipsoidal specimen. Data were obtained in the triaxial compressive (???) stress and biaxial tensile-compressive (+?) strain octants by simultaneous application of pressure to both internal and external surfaces of the ellipsoidal specimen and a gradual reduction of external pressure until failure. A stress analysis of the specimen is presented and data-reduction techniques are discussed. Data obtained with a hollow spherical specimen and with the newly developed hollow ellipsoidal specimen are compared. These data are obtained in the same stress and strain octants; however, the relative magnitudes of the parameters and, therefore, the positions within the stress and strain octants are different. This results in a change in the magnitudes of the failure parameter. Data from uniaxial specimens of the same propellant also are presented.     

弹体攻角侵彻混凝土数值模拟

利用LS-DYNA程序的用户自定义模型功能,在LS-DYNA程序中嵌入了用于描述混凝土及钢筋混凝土侵彻贯穿的动态损伤模型。模型拉伸部分用Taylor-Chen-Kuszmaul(TCK)模型描述,体现了应变率对拉伸作用的敏感性;压缩部分则采用Holmquist-Johnson-Cook(HJC) 强度模型。模型中考虑了拉伸损伤、压缩损伤、应变软化、静水压力效应以及应变率效应。利用该方法对弹体攻角非正侵彻混凝土靶过程中的弹体变形、混凝土靶的损伤破坏、弹体的速度变化规律及弹体的变形进行了计算,并将计算结果与实验结果进行了比较,结果表明,采用该模型可以较好地模拟弹体非正侵彻混凝土过程。