Critical States of a Damaged Non-linearly Deformed Medium During High-speed Collision with an Obstacle

Generalized model of the nonlinear interconnected deformation and fracture of a damaged polycrystalline media is presented at high-speed shock influence conditions. Geometrical non-linearity caused by finite non-linear deformations depending on speed, behavior of materials with variable micro structure, anisotropic hardening and Baushinger-effect are considered. Particular attention is paid to problems of damage localization, progression and final fracture of non-linearity deformed bodies. Justification of the proposed model is implemented and nonlinear wave processes in a thin-walled shell are studied at high-speed collision condition with an obstacle.