NUMERICAL-ANALYTICAL MODEL OF PENETRATION OF LONG ELASTICALLY DEFORMABLE NON-HOMOGENEOUS PROJECTILES INTO SEMI-INFINITE TARGETS

摘要

A new numerical-analytical model of penetration of long axisymmetric elastically deformable non-homogeneous projectiles in semi-infinite targets is presented. A background of this model is the integral-differential equation of ballistics for non-deformable projectile. This equation is obtained on the basis of Lagrange-Cauchy integral for non-stationary irrotational motion of incompressible fluid, and equations of expansion of spherical cavity. The field of velocities in target is defined by real projectile shape and a shape of entering hole. The elastic deformations of projectile associated with its forced longitudinal oscillations are taken into account. Oscillation patterns for homogeneous and non-homogeneous projectile are calculated and compared. The results are compared with known experimental and calculated data.