Numerical simulation of grain-boundary grooving by surface diffusion

被引：5

作者：

Zhang, Wen ^{[1
]}

Schneibel, Joachim H. ^{[1
]}

机构：

[1] Oak Ridge National Laboratory, Oak Ridge, United States

来源：

Computational Materials Science | 1995年 / 3卷 / 03期

关键词：

Boundary value problems - Computer simulation - Diffusion - Numerical methods - Surface phenomena;

D O I：

10.1016/0927-0256(94)00073-L

中图分类号：

学科分类号：

摘要：

A numerical investigation of grain-boundary grooving by surface diffusion has been carried out. The surface diffusion is driven by surface curvature gradients, and a fixed dihedral angle is assumed at the groove tip. The corresponding mathematical system is an initial boundary value problem in a one-dimensional nonlinear partial differential equation. The numerical results show excellent agreement with Mullins' analytical ″small slope″ (i.e. dihedral angle close to 180° ) solution of the linearized mathematical system. Our simulation extends Mullins' solution, since it is applicable to larger groove widths and a complete range of dihedral angles. As an example, we apply our technique to two adjacent grooves. The evolution of the surface profile shows clearly that the two grooves grow initially independently, while they interact at a later stage, resulting in changes in their growth kinetics.

引用

页码：347 / 358