Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
}
TY - GEN
T1 - Three-dimensional phase-field simulations of directional solidification
AU - Dejmek, Marcus
AU - Folch, Roger
AU - Parisi, Andrea
AU - Plapp, Mathis
PY - 2004
Y1 - 2004
N2 - The phase-field method has become in recent years the method of choice for simulating microstructural pattern formation during solidification. One of its main advantages is that time-dependent three-dimensional simulations become feasible. This makes it possible to address long-standing questions of pattern stability. Here, we investigate the stability of hexagonal cells and eutectic lamellae. For cells, it is shown that the geometry of the relevant instability modes is determined by the symmetry of the steady-state pattern, and that the stability limits strongly depend on the strength of the crystalline anisotropy, as was previously found in two dimensions. For eutectics, preliminary investigations of lamella breakup instabilities are presented. The latter are carried out with a newly developed phase-field model of two-phase solidification which offers superior convergence properties.
AB - The phase-field method has become in recent years the method of choice for simulating microstructural pattern formation during solidification. One of its main advantages is that time-dependent three-dimensional simulations become feasible. This makes it possible to address long-standing questions of pattern stability. Here, we investigate the stability of hexagonal cells and eutectic lamellae. For cells, it is shown that the geometry of the relevant instability modes is determined by the symmetry of the steady-state pattern, and that the stability limits strongly depend on the strength of the crystalline anisotropy, as was previously found in two dimensions. For eutectics, preliminary investigations of lamella breakup instabilities are presented. The latter are carried out with a newly developed phase-field model of two-phase solidification which offers superior convergence properties.
KW - Microstructures
KW - Phase-field modeling
KW - Solidification
M3 - Conference contribution/Paper
AN - SCOPUS:3042798867
SN - 0873395727
SP - 387
EP - 392
BT - Solidification Processes and Microstructures
A2 - Rappaz, M.
A2 - Beckermann, C.
A2 - Trivedi, R.
PB - Wiley
T2 - Solidification Processes and Microstructures: A Symposium in Honor of Wilfried Kurz
Y2 - 14 March 2004 through 18 March 2004
ER -