Research on an analytic method for Taylor impact of a cylinder projectile

A new method was developed to analyze the Taylor impact problem of the rigid target vertically impacted by a cylinder projectile. The quadric nonlinear velocity variation was proposed in this method for the part of a projectile that has not any deformation occurring during the impact process. An analytic formula for the Taylor impact was deduced from motion equations of projectiles, and the new meshless method, reproducing kernel particle method was applied to numerically simulate the Taylor impact. Theoretical analysis on the Taylor impact of five practical materials shows that the analytic results are in agreement with the experimental and numerical.