Mathematical simulation of fracture in impact problems with formation of fragments

Two approaches to identification of fracture surfaces in the problems of ma thematical simulation of the processes of high-speed interaction of elastop lastic bodies are suggested. On the basis of these approaches, solutions to the problems of projectile penetration into semi-infinite targets, split a nd shear fracture of finite-thickness plates are presented. The results of numerical simulation are compared with experimental data, and a good agreem ent both in the final parameters and in dynamics of the process is obtained .