Numerical diffusion-induced grain boundary motion

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...

A Numerical Model of Stress Driven Grain Boundary Diffusion

The stress driven grain boundary diffusion problem is a continuum model of mass transport phenomena in microelectronic circuits due to high current densities (electromigration) and gradients in normal stress along grain boundaries. The model involves coupling many different equations and phenomena, and difficulties such as non-locality, stiffness, complex geometry, and singularities in the stre...

Numerical Study of Grain Boundary Diffusion: Size Effects

1. Introduction Enhanced diffusivities along grain boundaries (GBs) are highly relevant for the preparation as well as for the performance of many polycrystalline materials. The importance of GBs is even further increased, if materials are characterized by a high density of interfaces. In such cases, for example in nanocrystalline materials, experiments to determine diffusion coefficients are n...

Grain Boundary Diffusion and Fractal Interface Concept