Siberian Federal University

On the basis of experimentally observable phenomena a generalized model of nonlinear interconnected deformation and fracture of damaged polycrystalline media at high-speed shock action was developed. The geometric nonlinearity caused by finite nonlinear deformations depending on the loading speed, the behavior of materials with a changeable microstructure, the anisotropic hardening and the Baushinger effect are considered. The corresponding nonlinear boundary value problems are stated and solved by means of efficient numerical methods. Nonlinear wave processes and localization of deformations in spatial bodies under the influence of explosion and high-speed collision with an obstacle are studied.