考虑靶体自由表面和开裂区影响的可变形弹体斜侵彻脆性材料的终点弹道分析

将靶体视为不可压缩Mohr-Coulomb材料，假定空腔膨胀产生塑性-开裂-弹性响应分区，构造了自由表面效应的衰减函数，并将衰减函数乘以脆性材料的半经验阻力函数，得到了用于斜侵彻的脆性材料半经验阻力函数。基于文献［2］的弹靶分离方法，将靶体对弹体的作用用阻力函数代替，避免了靶体网格划分和复杂的接触算法，提高了计算效率。在此基础上，对4340（RC44.5）高强钢斜侵彻石灰岩靶体进行了数值模拟，并通过与实验测得弹体最终形态和弹尖最终位置对比，验证了本文提出方法的正确性和优越性。

Terminal Ballistics Study of Deformable Projectile Penetrating Brittle Material Targets for Free-surface andCrack Region Effects

The decay function for the free-surface effect is constructed by treating a target as an incompressible Mohr-Coulomb material and assuming that the cavity expansion produces a plastic-crack-elastic response region. The semi-empirical forcing function of brittle targets for oblique penetration is obtained by multiplying the semi-empirical forcing function of brittle targets with the decay function. Then the projectile is modeled with an explicit transient dynamic finite element code and the target is represented by the forcing function as the pressure boundary condition. This methodology eliminates the need for discretizing the target as well as the need for the contact and erosion algorithms, which reduces the computer time and memory requirements. The oblique penetration of 4340（RC44.5）steel into limestone target is simulated. The comparisons of the final forms of projectile and the final positions of tip in simulation and experiment demonstrate the effectiveness and advantage of the proposed method.