Simulating Diffusion Induced Grain Boundary Migration in Binary Fe–Zn

On Diffusion-Induced Grain-Boundary Motion

We consider a sharp interface model which describes diffusioninduced grain-boundary motion in a poly-crystalline material. This model leads to a fully nonlinear coupled system of partial differential equations. We show existence and uniqueness of smooth solutions.

Classical Solutions for Diffusion-Induced Grain-Boundary Motion

In this paper we study the motion of hypersurfaces driven by mean curvature and by diffusion of a solute along the surface. Let G be a 0 compact closed hypersurface in R n which is the boundary of an open domain, and let u : G a R be a given function. Then we are looking for 0 0 Ž . 4 a family G [ G t ; t G 0 of hypersurfaces and a family of functions Ž . Ž . 4 u ?, t : G t a R; t G 0 such that...

Vacancy Generation During Grain Boundary Migration

We present a molecular dynamics simulation study of vacancy generation and emission from grain boundaries during curvature-driven grain boundary migration. The U-shaped half-loop bicrystal geometry is employed in order to maintain a constant driving force during boundary migration. Nonlinearities in plots of half-loop grain area versus time indicate the onset of non-steady-state behavior and va...

Grain Boundary Diffusion and Fractal Interface Concept

Disjoining potential and grain boundary premelting in binary alloys

Many grain boundaries (GBs) in crystalline materials develop highly disordered, liquidlike structures at high temperatures. In alloys, this premelting effect can be fueled by solute segregation and can occur at lower temperatures than in single-component systems. A premelted GB can be modeled by a thin liquid layer located between two solid-liquid interfaces interacting by a disjoining potentia...