Phase field theory of polycrystalline solidification in three dimensions

Details Phase field theory of polycrystalline solidification in three dimensions Phase field theory of polycrystalline solidification in three dimensions

2005-02-24

arxiv.org/abs/cond-mat/0502594v1

Physics

Condensed Matter

Materials Science

7 pages, 4 figures, submitted to Europhysics Letters on 14th February, 2005

Scientific paper

10.1209/epl/i2005-10081-7

A phase field theory of polycrystalline solidification is presented that is able to describe the nucleation and growth of anisotropic particles with different crystallographic orientation in three dimensions. As opposed with the two-dimensional case, where a single orientation field suffices, in three dimensions, minimum three fields are needed. The free energy of grain boundaries is assumed to be proportional to the angular difference between the adjacent crystals expressed here in terms of the differences of the four symmetric Euler parameters. The equations of motion for these fields are obtained from variational principles. Illustrative calculations are performed for polycrystalline solidification with dendritic, needle and spherulitic growth morphologies.

Affiliated with

Also associated with

No associations

Rating

Phase field theory of polycrystalline solidification in three dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Phase field theory of polycrystalline solidification in three dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase field theory of polycrystalline solidification in three dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-303447