Regensburg 2004 – scientific programme

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M: Metallphysik

M 18: Postersitzung

M 18.6: Poster

Tuesday, March 9, 2004, 14:30–16:30, Saal C

Phase-field modeling of stress-induced instabilities during directional solidification of a binary alloy — •Bo Liu and Klaus Kassner — Institut für Theoretische Physik, Otto-von Guericke-Universität Magdeburg

A phase-field approach is developed to investigate the effect of elastic stresses on the morphological instability during directional solidification of a binary alloy. Governing equations are developed to simulate microstructural pattern formation based on a combination of the quantitative model for alloy solidification by Karma (Phys. Rev. Lett. 87, 115701 (2001)) and the model for the Grinfeld instability by Kassner et al. (Phys. Rev. E 63, 036117 (2001)). Simulations in two dimensions are carried out to test the accuracy of the present model and its numerical utility by reproducing some known results. We then proceed to investigate the combined effects of thermal and compositional strains as well as experimental control parameters on the morphological instability.