球形塑性壳在局部撞击载荷下的动态破坏分析

目的研究球形塑性壳在撞击载荷作用下的动态破坏行为．方法通过引入等度量变换，给出了球壳的变形模态；利用能量平衡给出了壳体在撞击载荷作用下大变形动态破坏的运动控制方程；采用ＲｕｎｇｅＫｕｔａ方法求解了该运动控制方程．结果给出了冲击力，窝陷半径和中心点位移随时间的变化关系以及最大窝陷半径、最大中心点位移和最大冲击力随弹体速度的变化关系．结论本文结果与实验结果有比较好的一致性．

Analysis of Dynamic Failure of Plastic Spherical Shells Under Local Impact

Aim To study the dynamic failure of the plastic spherical shell impacted by a missile. Methods The deformation mode of spherical shells was given by introducing isometric transformation. The governing equation of motion of the rigid plastic spherical shell was given by energy balance. This equation was solved by using Runge Kutta method. Results The relationships between the impact force, dimple radius, central point deflection and time were obtained. The response time initial velocity, the maximal impact force permanent initial velocity, the central point deflection initial velocity and the dimple radius initial velocity characteristics were respectively plotted. Conclusion A comparison made between the theoretical results and the experimental ones indicates that the two groups of results are in conformity with each other.