平头弹在岩石(混凝土)介质中的侵彻计算方法

采用刚塑性不可压缩的介质模型，用极限分析理论的上限方法，通过建立动力学许可速度场得到介质对弹体侵彻的静阻力分量，通过破碎介质动量守恒条件得到弹体侵彻的动阻力分量，在模型中还考虑了介质的尺度关系和弹体的弹头形状两种影响因素。侵彻过程中的速度、加速度、阻力和经历时间通过弹体的运动方程增量计算得到。通过与几种常用经验公式比较说明了本文方法的实用和可靠性。

Method of Calculation for the Penetration of a Flat-nosed Projectile in the Rock(CONCRETE)

Rigid-perfectly plastic model in incompressible medium was used in this paper. By setting up kinematically admissible velocity field, static resistance of medium to projectile was analyzed with upper-bound theorem of limit analysis. Kinematical resistance of medium to projectile is considered in terms of the law of conservation of momentum. Dimensional effect of the structure and the shape of projectile are also considered. Through adopting incremental calculation about the equation of projectile's motion ,the velocity,acceleration,resistance and time in the process of penetration were obtained. By comparison of the result of calculation with empirical formulas, the reliability and practicality of the method are proved.