ABSTRACT
This paper addresses a continuum-mechanical, bi-phasic model for thermal driven phase transition during steel solidification. The solid and liquid physical states, which represents the solid and molten steel, are formulated in the framework of the Theory of Porous Media (TPM) including thermal coupling, finite plasticity superimposed by a secondary power creep law and visco-elasticity associated by Darcy’s permeability for the solid and the liquid phase, respectively. In view of phase transition during solidification, a purely constitutive, energy conserving and thermodynamically consistent approach depends on the heat flux as driving forces. The finite element method based on standard Gallerkin element formulation was employed. Finally, the performance of the discussed model is demonstrated by a academic example of the transient solidification process of a steel alloy specimen.
