A coupled finite element-cellular automaton model for the prediction of dendritic grain structures in solidification processes

Journal Article · Fri Jul 01 04:00:00 EDT 1994 · Acta Metallurgica et Materialia; (United States)

DOI:https://doi.org/10.1016/0956-7151(94)90302-6· OSTI ID:7278658

Gandin, C A; Rappaz, M ^[1]

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1. Ecole Polytechnique Federale, Lausanne (Switzerland). Lab. de Metallurgie Physique

A new algorithm based upon a 2-dimensional Cellular Automaton (CA) technique is proposed for the simulation of dendritic grain formation during solidification. The CA model takes into account the heterogeneous nucleation, the growth kinetics and the preferential growth directions of the dendrites. This new CA algorithm, which applies to non-uniform temperature situations, is fully coupled to an enthalpy-based Finite Element (FE) heat flow calculation. At each time-step, the temperature at the cell locations is interpolated from those at the FE nodal points in order to calculate the nucleation-growth of grains. The latent heat released by the cells and calculated using a Scheil-type approximation is fed back into the FE nodal points. the coupled CA-FE model is applied to two solidification experiments, the Bridgman growth of an organic alloy and the one-dimensional solidification of an Al-7wt% Si alloy. In the first case, the predicted boundaries between grains are in good agreement with experiment, providing the CA cell size is of the order of the dendrite spacing. For the second experiment, the quality of the coupled CA-FE model is assessed based upon grain structures and cooling curves. The columnar-to-equiaxed transition and the occurrence of a recalescence are shown to be in good agreement with the model.

• OSTI ID: 7278658
• Journal Information: Acta Metallurgica et Materialia; (United States), Journal Name: Acta Metallurgica et Materialia; (United States) Vol. 42:7; ISSN 0956-7151; ISSN AMATEB
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360101* -- Metals & Alloys-- Preparation & Fabrication
360102 -- Metals & Alloys-- Structure & Phase Studies
ALLOYS
ALUMINIUM ALLOYS
BRIDGMAN METHOD
COMPUTERIZED SIMULATION
CRYSTAL GROWTH
CRYSTAL GROWTH METHODS
CRYSTALS
DATA
DENDRITES
GRAIN GROWTH
INFORMATION
MATHEMATICAL MODELS
NUMERICAL DATA
PHASE TRANSFORMATIONS
SILICON ALLOYS
SIMULATION
SOLIDIFICATION
THEORETICAL DATA