The investigation of the evolution of diffusional properties of nonequilibrium grain boundaries during annealing of submicrocrystalline materials

V.N. Perevezentsev, A.S. Pupynin ORCID logo , A.E. Ogorodnikov show affiliations and emails
Received: 29 October 2018; Revised: 15 November 2018; Accepted: 23 November 2018
Citation: V.N. Perevezentsev, A.S. Pupynin, A.E. Ogorodnikov. The investigation of the evolution of diffusional properties of nonequilibrium grain boundaries during annealing of submicrocrystalline materials. Letters on Materials, 2019, 9(1) 107-112
BibTex   https://doi.org/10.22226/2410-3535-2019-1-107-112

Abstract

A model is proposed to describe a change of grain boundaries nonequilibrium state and its diffusive properties during low-temperature annealing of submicrocrystalline materials containing, in the initial state, a system of grain-boundary nano-cavities. It is shown that non-equilibrium state of grain boundaries can be maintained for a long time of low-temperature annealing.A model is proposed that allows one to describe a change in the nonequilibrium state and diffusion properties of grain boundaries during low-temperature annealing of submicrocrystalline materials containing in the initial state a system of grain-boundary nano-cavities. It is shown that the dissolution of grain-boundary cavities during annealing leads to the emission of vacancies from the cavities into the grain boundaries and to an increase in the nonequilibrium free volume of the grain boundaries. As a result, the coefficient of grain-boundary diffusion, which is exponentially dependent on the value of the free volume of grain boundaries, also changes. The influence of the initial value of the volume fraction of grain-boundary cavities and the initial value of the nonequilibrium free volume of grain boundaries on the kinetics of cavity dissolution and the dependence of the grain-boundary diffusion coefficient on the annealing time is analyzed. It is established that this dependence has three stages. The first stage is characterized by a slow increase in the coefficient of grain-boundary diffusion due to the fact that the process of vacancies emission into the grain boundaries associated with the dissolution of cavities is equalized by the outflux of nonequilibrium vacancies from the boundaries into the grain volume. The short-term second stage is characterized by a sharp increase in the coefficient of grain-boundary diffusion and is associated with the rapid collapse of the cavities when they reach a critical radius. At this stage, the coefficient of grain-boundary diffusion may exceed by 1– 2 orders of magnitude its value for the equilibrium grain boundaries. The third stage is characterized by a slow decrease of the diffusion coefficient and is associated with the outflux of nonequilibrium vacancies into the grain volume. Thus, contrary to the prevailing ideas that annealing is always accompanied by the transition of grain boundaries into a more equilibrium state, it has been shown that in the case of low-temperature annealing of submicrocrystalline materials containing in the initial state grain boundary cavities, the reverse process can occur, i. e. an increase in the nonequilibrium state of grain boundaries caused by a change of its nonequilibrium free volume during the dissolution of cavities. It is shown that the nonequilibrium state of grain boundaries can be maintained for a long time of annealing.

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