Abstract
A numerical model for the prediction of solidification and the accompanying microsegregation in peritectic alloys is described. Several finite difference schemes have been tested, based on one-dimensional computational cells for microsegregation calculations. The method selected as the most efficient is that of a fixed computational grid with both solid/solid and solid/liquid boundaries able to move freely between the nodal planes, using a Lagrangian interpolation procedure due to Crank in order to determine solute gradients at the interfaces. The solution method is essentially explicit, although the composition and position of the solid/solid interface have to be floated in an implicit manner to obtain consistent, unique, solutions in multicomponent alloys. Microsegregation and nonequilibrium solidus temperatures have been computed for a number of alloy steel systems using the proposed model and satisfactory agreement obtained with experimental results.
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