刚性尖头弹侵彻有限厚度金属靶板分析模型

研究了刚性尖头弹以弹速或亚弹速垂直撞击有限厚度塑性金属靶板的侵彻问题。考虑靶板背表面自由边界的影响，建立并求解不可压缩弹塑性材料有限球形空腔膨胀模型，得到弹头表面径向压力的解析解。引入临界侵彻深度和临界撞击速度概念，提出一个两阶段侵彻模型。基于有限球形空腔膨胀模型，得到临界侵彻深度的解析解和弹体运动微分方程；用Runge- Kutta法求解微分方程，得到侵彻深度和临界撞击速度的数值解。与装甲钢靶板弹道试验数据比较，表明本文理论模型与试验吻合很好。

An Analytical Model for Penetration into Finite Thickness Metallic Target Struck by Rigid Sharp-nosed Projectiles

A finite spherical cavity expansion approximation was proposed to simulate the loading on projectiles penetrating incompressible elastic-plastic media with finite dimensions. Based on this approximation, a new engineering model was developed for analysis on penetration into finite thickness metallic plates by rigid sharp-nosed projectiles. By introducing concepts of critical penetration depth referring to the maximum penetration depth and critical impact velocity before the plastic zone reaches the back face of the plate, the present model considers two interconnected penetration stages with an initial stage characterized by ductile hole enlargement, followed by a second stage of bulging. Closedform equations for the critical penetration depth were derived for conical and ogive-nosed projectiles. The final penetration depth and critical impact velocity were obtained by solution of the equation for projectile motion with Runge-Kutta method. The present model is in good agreement with previously published ballistic test data.