Energy approach to kinetics equations for dislocations and twins and its application for high strain rate collision problems

A computational plasticity model with accounting of coupled evolution of the dislocations and twins in metals under the dynamic loading is presented. The model is based on our previous results for the dislocation plasticity, but generalizes them and accounts mechanical twinning in addition. It includes equations of the mechanics of continua for elastic-plastic medium, where the plastic deformation tensor is determined through the structural defects evolution in the material. The model is self-consistent and allows determining of mechanical properties in wide range of strain rates and thermodynamic conditions as well as modification of the defect subsystems. The equations and parameters, its numerical implementation and some of obtained results are presented.