Phase-field simulations of solidification in binary and ternary systems using a finite element method

Details Phase-field simulations of solidification in binary and ternary systems using a finite element method Phase-field simulations of solidification in binary and ternary systems using a finite element method

2004-07-27

arxiv.org/abs/cond-mat/0407694v1

Physics

Condensed Matter

Materials Science

5 pages, 3 figures, To appear in the proceedings of 14th "International Conference on Crystal Growth", ICCG-14, 9-13 August 20

Scientific paper

10.1016/j.jcrysgro.2004.10.139

We present adaptive finite element simulations of dendritic and eutectic solidification in binary and ternary alloys. The computations are based on a recently formulated phase-field model that is especially appropriate for modelling non-isothermal solidification in multicomponent multiphase systems. In this approach, a set of governing equations for the phase-field variables, for the concentrations of the alloy components and for the temperature has to be solved numerically, ensuring local entropy production and the conservation of mass and inner energy. To efficiently perform numerical simulations, we developed a numerical scheme to solve the governing equations using a finite element method on an adaptive non-uniform mesh with highest resolution in the regions of the phase boundaries. Simulation results of the solidification in ternary Ni$_{60}$Cu$_{40-x}$Cr$_{x}$ alloys are presented investigating the influence of the alloy composition on the growth morphology and on the growth velocity. A morphology diagram is obtained that shows a transition from a dendritic to a globular structure with increasing Cr concentrations. Furthermore, we comment on 2D and 3D simulations of binary eutectic phase transformations. Regular oscillatory growth structures are observed combined with a topological change of the matrix phase in 3D. An outlook for the application of our methods to describe AlCu eutectics is given.

Affiliated with

Also associated with

No associations

Rating

Phase-field simulations of solidification in binary and ternary systems using a finite element method 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 simulations of solidification in binary and ternary systems using a finite element method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase-field simulations of solidification in binary and ternary systems using a finite element method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-261547