Investigation of the Process of Spatial Self-organization of Linear Defects in Nanocrystalline Materials

On the basis of the evolution equation for dislocation density, considering the properties of grain boundaries, which are the main sources, drains, and barriers for dislocations, the theoretical model of the process of spatial self-organization of linear defects in nanocrystalline materials was constructed. When solving the system of synergetic equations, we find the effective energy of the system, the minima of which correspond to stable states of nanocrystalline material. The analysis of these states determines the conditions for the formation of shear micro bands.