COMPORTEMENT DE PLAQUES ÉPAISSES À L'IMPACT NORMAL DE CYLINDRES

The study of normal impact of cylinders on thick plates usually needs finite element calculations. It implies special softwares using and long-time solving. In order to reduce both calculation costs and the analysis field of this large problem, a new approach is performed. An analytical modelling is coupled with a numerical time integration of impact on isotropic rigid plastic metal plates by rigid rods. Impact velocity range is below 2000 m/s. Modelling is based on the choice of a 2-parameters continuum differentiable eulerien velocity field. It also fulfiled the material non compressibility, the kinematic boundary and stress boundary conditions according to the mechanical behaviour of the plate. A new extremum principle is developped and used to obtain the dimensions of the strained area in the plate. The energy balance of the plate-cylinder system leads to rod's acceleration. Meanwhile, only penetration phenomenon is studied in this paper