Two-phase approach for solidification problems: Modeling the mushy zone deformation

This paper presents the development of a two-phase model accounting for mass, momentum and energy transfer, especially dedicated to the analysis of the thermo-mechanical behavior of metallic alloys in the mushy state. Macroscopic balance equations are first derived from local equations by the use of a spatial averaging method. Constitutive equations of both the liquid and the solid phases as well as interfacial exchange terms are then expressed by means of phenomenological considerations. Lastly, the resolution strategy is detailed.