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MM: Fachverband Metall- und Materialphysik
MM 21: Microstructure and Phase Transformations II
MM 21.2: Talk
Tuesday, March 27, 2012, 10:30–10:45, H 0106
Comparative investigation of phase-field models based on free energy and grand potential formulations — •Oleg Tschukin1, Abhik Choudhury2, and Britta Nestler1,2 — 1IMP - Hochschule Karlsruhe Technik und Wirtschaft — 2IAM - Zuverlässigkeit von Bauteilen und Systemen, Karlsruher Institut für Technologie
We present a comparison between a phase-field model for multi-component solidification based on a grand potential functional constructed out of the thermodynamic chemical potential µ : f(c(µ,T),T)−µ c(µ,T)[1] and the free energy functional of the average concentration [2]. Contrary to formally used free energy functionals, when the evolution equations are derived from the grand potential formulation, there exist certain advantages: length scales of simulations can be upscaled and surface as well as kinetic properties can be easily calibrated. We perform a quantitative evaluation of both methodologies by applying them to common problems of multi-phase solidification (eutectic and peritectic solidification). While both methods can be used to derive the same physics, we point out the efficiencies and advantages of the grand potential formalism.
[1] A. Choudhury et al.: Grand potential formalism for multi-component phase transformations along with thin-interface asymptotics of the double obstacle potential, submitted to Physical Review E (2011)
[2] H.Garcke et al.: A diffuse interface model for alloys with multiple components and phases, SIAM J Appl. Math. 64 775-799 (2004)