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Phys. Rev. E 71, 041609 (2005) [6 pages]

Multicomponent alloy solidification: Phase-field modeling and simulations

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Britta Nestler
Department of Computer Science, Karlsruhe University of Applied Sciences, Moltkestrasse 30, D-76133 Karlsruhe, Germany

Harald Garcke and Björn Stinner
NWF I, Mathematik, University of Regensburg, 93040 Regensburg, Germany

Received 14 May 2004; revised 6 December 2004; published 27 April 2005

A general formulation of phase-field models for nonisothermal solidification in multicomponent and multiphase alloy systems is derived from an entropy functional in a thermodynamically consistent way. General expressions for the free energy densities, for multicomponent diffusion coefficients, and for both weak and faceted types of surface energy and kinetic anisotropy are possible. A three-dimensional simulator is developed to show the capability of the model to describe phase transitions, complex microstructure formation, and grain growth in polycrystalline textures.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.71.041609
DOI:
10.1103/PhysRevE.71.041609
PACS:
81.10.−h, 05.10.−a, 81.30.−t, 68.35.−p