Dresden 2009 – wissenschaftliches Programm
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MM: Fachverband Metall- und Materialphysik
MM 39: Phase Transitions II
MM 39.3: Vortrag
Donnerstag, 26. März 2009, 12:30–12:45, IFW B
A Correction to the Interpolation Functions for phase field modeling of three or more phases. — •Abhik Choudhury1 and Britta Nestler2 — 1Institute of Computational Engineering,Karlsruhe,Germany — 2Institute of Computational Engineering,Karlsruhe,Germany
The use of the phase field method has spread to the solution of a variety of practical problems, where the usage of a number of phase field parameters becomes necessary. One of the requirements in the phase field methodology is the usage of interpolation functions, for interpolating the energy of the system for all values of the phase fields. The usual interpolation functions for phase field simulations involving two phase field parameters cannot be applied as interpolation functions for the case of multiple phases. The reasons for this are elucidated in this investigation. A correction has been proposed to the interpolation functions that are normally used for the binary phase field models. The results of this correction are shown through simulations. In the phase field model for the present investigation, we use the parabolic multi-obstacle potential term for the surface energy. This is popular because of the ease of calibration to the material properties. However, in the model a symmetric linear third order term is incorporated for changing the shape of the bulk free energy density, to limit the stable solutions to strict binary interfaces. The correlation between the corrected interpolation function and the third order symmetric term is investigated.