A continuum mechanical, bi-phasic, two-scale model for thermal driven phase transition during solidification

This articel focuses on a bi-scale numerical description for solidification process simulation. The macro-scale implies two phases which are the solid and liquid metallic alloy physical states described using the theory of porous media (TPM) enhanced by strong thermal coupling and finite elastic-plastic-creep temperature dependent material behaviour. Furthermore, a linear viscous melt as well as a laminar melt flow are adopted. The thermal driven physics of solidification is covered by a microscopic phase-field model. Therefore, a Ginzburg-Landau type free energy function is employed. After discussing the main model details, a real Bridgman oven numerical pre-model will demonstrate the principal performance. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)