Severe plastic deformation by kobo method estimations and model

Gusak, A. M., Gonda, A. R. (2017) Severe plastic deformation by kobo method estimations and model. Вісник Черкаського університету. Серія Фізико-математичні науки (№ 1). с. 12-21.

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A new phenomenological model for the description and simulation of Severe Plastic Deformation (SPD) is developed based on the inverse dependence of the material's viscosity on the concentration of point defects (the higher the concentration, the less the viscosity). In this case, the local concentration of point defects is determined by (1) the intensity of deformation, (2) the annihilation of interstitial defects and vacancies, (3) the absorption of defects at dislocations, (4) diffusive redistribution of defects. The solution of the corresponding system of nonlinear differential equations for the field of defect concentrations and the differential equation for the velocity field at a given rate of deformation at the boundary of the sample provides a non-equilibrium phase transition - a jump in viscosity and a jump in the concentration of defects at a certain distance from the surface. In this case, the width of the zone of reduced viscosity and increased defect concentration is proportional to the surface velocity of the deformation. It is in this zone that it makes sense to consider the material as a viscous medium

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