A two-phase two-dimensional finite element thermomechanics and macrosegregation model of mushy zone. Application to continuous casting

Michel Bellet (1) , Victor D. Fachinotti (2)

1 CEMEF - Centre de Mise en Forme des Matériaux
2 CIMEC - Centro de Investigación de Métodos Computacionales [Santa Fe]

The main lines of a coupled thermomechanical - solute transport model are first summarized. Macroscopic conservation equations for mass, momentum, energy and solute are obtained by a spatial averaging method. The mechanical model is a "sponge-like" one: assuming a semi-solid saturated mushy zone, the solid phase is macroscopically modeled as a compressible viscoplastic continuum, while the liquid phase flow obeys Darcy's law. Regarding solute transport, the study is limited to a binary alloy for which the solidification path is not given a priori but results from a microsegregation model (here the lever rule). A validation check of the correct implementation of this coupled model is achieved by comparing with an analytical solution in the case of a free compression of a saturated semi-solid medium. Application to the study of the solidification during secondary cooling in steel continuous casting is considered.

Mots clés: solidification; mushy zone; 2-phase; thermomechanics; finite elements

Domaines: Matériaux

Michel Bellet, Victor D. Fachinotti. A two-phase two-dimensional finite element thermomechanics and macrosegregation model of mushy zone. Application to continuous casting. Proceedings MCWASP XI, 11th Int. Conf. on Modeling of Casting, Welding and Advanced Solidification Processes, May 2006, Opio, France. pp.Pages 169-176 - ISBN 978-0-87339-629-5. ⟨hal-00576487⟩