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Reprinted with permission from MATERIALS PROCESSING AND DESIGN: Modeling, Simulation and Applications - NUMIFORM 2004 - Proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes; doi:10.1063/1.1766689. Copyright 2004, American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of PhysicsInternational audienceAs an approach towards a better modelling of solidification problems, we present the basic assumptions and implementation of a thermo-mechanical two-phase model that considers the solidifying alloy as a binary mixture made of a liquid and a solid phase. Macroscopic mass and momentum balances are obtained considering that, at the microscopic level, the liquid is Newtonian whereas the solid is a power law fluid. Assuming local thermal equilibrium, a single equation for the conservation of the mixture energy is then written. The numerical implementation in a 2D finite element code is then detailed. Lastly, some examples of isothermal simulations of academic tests and application examples are discussed. They particularly enlighten the ability of the formulation to describe the mixture evolution over the whole solidification interva

Two-Phase Modeling Of Metals Solidification: A Numerical Approach For The Thermo-Mechanical Problem