Self-consistent model of generation, interaction, and annihilation of point defects in the gradient of oscillating stresses is presented. This model describes the recently suggested method of severe plastic deformation by combination of pressure and oscillating rotations of the die along the billet axis (KoBo process). Model provides the existence of distinct zone of reduced viscosity with sharply increased concentration of point defects. This zone provides the high extrusion velocity. Presented model confirms that the Severe Plastic Deformation (SPD) in KoBo may be treated as non-equilibrium phase transition of abrupt drop of viscosity in rather well defined spatial zone. In this very zone, an intensive lateral rotational movement proceeds together with generation of point defects which in self-organized manner make rotation possible by the decrease of viscosity. The special properties of material under KoBo version of SPD can be described without using the concepts of nonequilibrium grain boundaries, ballistic jumps and amorphization. The model can be extended to include different SPD processes.
Kinetic mean-field method for description of diffusion (introduced in 1990 by George Martin) is developed to 3D with the inclusion of the frequency noise. After this, it is applied to modeling of reactive diffusion—formation, competition, and growth of the ordered intermediate phases during interdiffusion. Results seem reasonable; hence, the method can be used for qualitative study of complicated cases of the competitive first-order transitions in closed and open systems with rigid lattices.
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