KINETIC INSTABILITY IN AN ENSEMBLE OF DISLOCATIONS UNDER PLASTIC DEFORMATION OF METALS

Based on a system of evolutionary equations for an ensemble edge dislocations, the problem associated with development instability homogeneous distribution dislocations is considered. Despite large number theoretical studies this topic, most them are considered within framework reaction-diffusion phenomenological models, which contradicts mathematical structure initial equations, hyperbolic equations. For case when process plastic deformation develops along given axis. The elastic interaction neglected in order to reveal features state due local kinetics dislocations. stability analysis was carried out two types differing mobility. As result linearization system, linear algebraic obtained. From condition existence its nontrivial solutions, dispersion equation found, using which, basis Raut – Hurwitz criterion, range parameters at kinetic realized established. In region, expression obtained increment unstable mode, determines behavior beyond bifurcation point, and characteristic scale inhomogeneous structure. region where diffusion dynamics found. It shown that Turing total dislocation density parameter range. Within both excess densities significant. leads disorientation formation heterogeneous structures. This fundamental since advanced stage deformation, basically disoriented cells ragged sub-boundaries.