A COUPLED FINITE-ELEMENT CELLULAR-AUTOMATON MODEL FOR THE PREDICTION OF DENDRITIC GRAIN STRUCTURES IN SOLIDIFICATION PROCESSES

A new algorithm based upon a 2-dimensional Cellular Automaton (CA) tec hnique is proposed for the simulation of dendritic grain formation dur ing 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 poin ts in order to calculate the nucleation-growth of grains. The latent h eat released by the cells and calculated using a Scheil-type approxima tion is fed back into the FE nodal points. The coupled CA-FE model is applied to two solidification experiments, the Bridgman growth of an o rganic alloy and the one-dimensional solidification of an Al-7wt% Si a lloy. In the first case, the predicted boundaries between grains are i n 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 an d cooling curves. The columnar-to-equiaxed transition and the occurren ce of a recalescence are shown to be in good agreement with the model.