Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys

Details Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys

2011-03-24

arxiv.org/abs/1103.4806v1

Physics

Condensed Matter

Materials Science

50 pages (preprint format), 24 figures

Scientific paper

We investigate lamellar three-phase patterns that form during the directional solidification of ternary eutectic alloys in thin samples. A distinctive feature of this system is that many different geometric arrangements of the three phases are possible, contrary to the widely studied two-phase patterns in binary eutectics. Here, we first analyze the case of stable lamellar coupled growth of a symmetric model ternary eutectic alloy, using a Jackson-Hunt type calculation in thin film morphology, for arbitrary configurations, and derive expressions for the front undercooling as a function of velocity and spacing. Next, we carry out phase-field simulations to test our analytic predictions and to study the instabilities of the simplest periodic lamellar arrays. For large spacings, we observe different oscillatory modes that are similar to those found previously for binary eutectics and that can be classified using the symmetry elements of the steady-state pattern. For small spacings, we observe a new instability that leads to a change in the sequence of the phases. Its onset can be well predicted by our analytic calculations. Finally, some preliminary phase-field simulations of three-dimensional growth structures are also presented.

Affiliated with

Also associated with

No associations

Rating

Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys 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 Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-47963