MATERIALS TRANSACTIONS · 2003 · 76 citations · 20 references
Natural SciencesMaterials EngineeringMaterials ScienceFinite Element AnalysisMaterials ProcessingMetallurgyAlloy ThermodynamicsAlloysKinetics Of Phase TransformationsMetallurgical ThermodynamicsMicrostructure EvolutionTransformation MechanismsFinite Element ModelingFinite Element SimulationMicrostructurePhase Fraction EvolutionProcess ParametersThermodynamics Of AlloyingTransformation KineticsTransformation Stages
During the homogenisation process of Al–Mg–Si extrusion alloys, plate-like β-Al5FeSi particles transform to multiple rounded α-Al12(FeMn)3Si particles. The rate of this β to α transformation determines the time which is required to homogenise the aluminium sufficiently for extrusion. In this paper, a finite element approach is presented which model the development of fraction transformed with time, in the beginning of the transformation, as a function of homogenisation temperature, as-cast microstructure and concentration of alloying elements. We treat the β to α transformation mathematically as a Stefan problem, where the concentration and the position of the moving boundaries of the α and β particles are determined. For the boundary conditions of the model thermodynamic calculations are used (Thermo-Calc). The influence of several process parameters on the modelled transformed fraction, such as the temperature and initial thickness of the β plates, are investigated. Finally the model is validated with experimental data.
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Free and Moving Boundary Problems.
Colin C. Cryer, John Crank · Mathematics of Computation · 1986 · 2.2K citations
Natural Sciences, Computational Engineering, Computational Mechanics +14
On the Kinetics of Precipitate Dissolution
M J Whelan · Metal Science Journal · 1969 · 255 citations
H. B. Aaron, G.R. Kotler · Metallurgical Transactions · 1971 · 208 citations