A 3D-fem model solving thermomechanics and macrosegregation in binary alloys solidification

Michel Bellet (1) , Victor D. Fachinotti (1) , Sylvain Gouttebroze (1) , Weitao Liu (2) , Hervé Combeau (2)

1 CEMEF - Centre de Mise en Forme des Matériaux
2 LSG2M - Laboratoire de Science et Génie des Matériaux et de Métallurgie

This paper introduces a three-dimensional numerical model for the coupled solution of momentum, energy and solute conservation equations, for binary alloys solidification. The spatial discretisation is carried out using linear tetrahedral finite elements, particularly those of P1+/P1 type for the velocity-pressure resolution of momentum equation. The liquid flow in the mushy zone is assumed to be governed by the Darcy's law. Thermal and buoyancy forces are taken into account by means of the Boussinesq's model. Microsegregation obeys the lever rule. The resulting solute transport equation is solved by the SUPG method. Coupling strategy between momentum, energy and solute equations is discussed and two applications are studied.

Mots clés: macrosegregation; solidification; finite elements; 3D

Domaines: Sciences de l'ingénieur [physics]; Matériaux

Michel Bellet, Victor D. Fachinotti, Sylvain Gouttebroze, Weitao Liu, Hervé Combeau. A 3D-fem model solving thermomechanics and macrosegregation in binary alloys solidification. Symposium on Solidification Processes and Microstructures in Honor of Wilfried Kurz held at the TMS Annual Meeting, Mar 2004, Charlotte, United States. pp.Pages 41-46 - ISBN: 0-87339-572-7. ⟨hal-00531333⟩