带迎角钨杆斜侵彻铝板数值仿真研究

为研究迎角对钨杆斜侵过程的影响，开展了带迎角钨杆斜侵彻铝板数值仿真研究。仿真中采用SPH方法，Shock状态方程和Steinberg本构模型。钨杆共有两种尺寸，分别为Φ10mm×23mm和Φ10mm×46mm。铝板厚10mm，撞击速度为2km/s，撞击角度为60°。为简化分析，将迎角分解为俯仰角和偏航角，其中俯仰角范围为-90°～90°，偏航角范围为0°～90°。对钨杆侵彻过程的分析结果表明：斜侵彻存在临界迎角，在临界迎角范围内钨杆所受力矩可忽略不计；在临界迎角范围外，钨杆将发生弯曲甚至折断。对钨杆的剩余质量分析结果表明：当偏航角为0°且钨杆未折断时，剩余质量只在较小的范围内变化；当俯仰角为0°时，剩余质量随迎角增加线性减小。对钨杆的剩余速度分析结果表明：偏航角对剩余速度的影响与俯仰角对剩余速度的影响基本一致，剩余速度曲线关于0°迎角基本对称。根据仿真结果，采用曲线拟合的方法给出了钨杆斜侵彻铝板的剩余速度经验公式。

Numerical simulation study on tungsten rod oblique penetrating aluminum plate with attack angle

To study the influence of attack angle on the process of tungsten rod oblique penetrating aluminum plate,numerical simulation is carried out.In the simulation,SPH method is aopted,with Shock Equation of State and Steinberg strength model.The tungsten rod has twodifferent sizes,which areΦ1 0mm×2 3mm andΦ1 0mm×46mm.The thickness of aluminum plateis 1 0mm.The impact velocity is 2km/s,the impact angle is 60°.The attack angle consists ofpitch angle and yaw angle,the influences of each are studied separately.The pitch angle variesfrom-90°to 90°,and the yaw angle varies form 0°to 90°.The rotation and bending of the tung-sten rod are analyzed,the result shows that：the critical attack angle exists in the oblique pene-tration,within the scope of the critical attack angle,the moment of tungsten rod can be neglec-ted,and the tungsten rod doesn’t rotate or bend during the penetration process;outside thescope of the critical attack angle,the moment of the tungsten rod can’t be neglected,which canbend or even break the tungsten rod.The residual mass and residual velocity of the tungsten rodafter penetration are analyzed,the result shows that：when the yaw angle is 0°,the residual masskeeps at a small range unless the rod is broken,and the tungsten rod with L/Dratio of 4.3 iseasier to be broken than the tungsten rod with L/Dratio of 2 .3 ;when the pitch angle is 0°,theresidual mass decreases linearly as the yaw angle varies from 20°to 80°;for the tungsten rod withL/Dration of 2 .3 ,the fitted residual velocity-attack angle curve at 0° yaw angle overlaps thecurve at 0°pitch angle,which means the yaw angle and the pitch angle has the same influence on theresidual velocity of the tungsten rod;when the yaw angle is 0°,the residual velocity-attack angle curve ofdifferentL/Dratios shares the same shape,thus a uniform empirical formula of the residual velocity ofdifferentL/Dratios is constructed,the constant in the empirical formula is obtained by curve fitting.