Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897340 | Physica D: Nonlinear Phenomena | 2007 | 13 Pages |
Abstract
This article studies self-similar shrinking, stationary, and expanding solutions of a two-dimensional motion by curvature equation modelling evolution of grain boundaries in polycrystals. Here the interfacial energy densities are assumed to depend only on the grains and the Herring condition is used for triple junctions (the intersections of three grain boundaries). In particular, in the isotropic case, a total of six configurations are classified as the only self-similar shrinking solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xinfu Chen, Jong-Shenq Guo,