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The optimal nose shape of a projectile penetrating into targets described by a locked hydrostat and a linear shear failure relationship
International Journal of Solids and Structures ( IF 3.6 ) Pub Date : 2020-09-01 , DOI: 10.1016/j.ijsolstr.2020.05.012
V.R. Feldgun , D.Z. Yankelevsky

Abstract The present paper analyzes the optimal nose shape of an axisymmetric rigid projectile which penetrates into a thick target. The optimal projectile nose shape is defined as the shape on which the minimum resistive force is developed in its interaction with the target. This resistive force sums up the contributions of the contact interaction pressures acting on the projectile nose envelope. The interaction pressure between the projectile and the target depends on the projectile total mass, on the target material properties, the projectile motion characteristics and the projectile geometrical parameters and especially on the unknown nose shape function and its derivatives. A variational analysis, aiming at minimization of the resistive force functional using the Euler-Poisson equation is carried out. In the general case, the problem of the optimal nose shape of an axisymmetric rigid projectile which penetrates into a semi-infinite target can be solved only by numerical methods. Using simplified constitutive relationships may allow a closed form solution of the optimal nose shape. This paper considers a locked hydrostat and a linear shear failure-pressure relationship that may enable a simplified representation of targets like soil and concrete, and allow a closed form solution of the optimal nose shape. It is confirmed that the Euler-Poisson equation is only a necessary condition for the existence of an extremum of the functional and therefore the obtained solution should be examined whether it actually yields a minimum resistive force and maximal penetration depth. To verify the optimal solution, the calculated deceleration and penetration depth time histories of the optimal nose shape projectiles are compared with calculated and experimental results of similar projectiles with an ogive nose, and the efficiency of the optimal nose is confirmed.

中文翻译:

由锁定的静液压和线性剪切破坏关系描述的射弹穿透目标的最佳机头形状

摘要 本文分析了轴对称刚性弹体穿透厚靶的最佳弹头形状。最佳弹头形状定义为在与目标相互作用时产生最小阻力的形状。该阻力汇总了作用在弹头包络上的接触相互作用压力的贡献。弹丸与目标之间的相互作用压力取决于弹丸总质量、目标材料特性、弹丸运动特性和弹丸几何参数,尤其取决于未知的机头形状函数及其导数。执行变分分析,旨在使用 Euler-Poisson 方程最小化阻力函数。在一般情况下,穿透半无限目标的轴对称刚性弹头的最优弹头形状问题只能通过数值方法解决。使用简化的本构关系可以实现最佳鼻子形状的封闭形式解决方案。本文考虑了锁定静压器和线性剪切破坏-压力关系,它们可以简化土壤和混凝土等目标的表示,并允许最佳鼻子形状的封闭形式解决方案。已证实欧拉-泊松方程只是泛函极值存在的必要条件,因此应检查所得解是否实际产生最小阻力和最大穿透深度。为了验证最优解,
更新日期:2020-09-01
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