Mathematical models for solidification and grain boundary formation

TitleMathematical models for solidification and grain boundary formation
Publication TypeJournal Article
Year of Publication1998
AuthorsKobayashi, R, Warren, JA, Carter, WCraig
JournalAch-Models in Chemistry
Volume135
Issue3
Pagination287 - 295
Date Published1998///
Abstract

We propose a model which can calculate solidifying crystalline particles with different orientations simultaneously and their impingement. It is achieved by the vectorization of phase field by which the direction of solid-liquid interfaces can be measured in the crystalline frame. This makes the phase field model behave properly under rotation. In this article, one dimensional simulation of the model and two dimensional one of the simplified model will be presented.