Abstract
A Monte Carlo technique has been used to develop a computer model for simulating the solidification of small castings. A most important aspect of the model is that an actual pictorial representation of the as-cast grain structure is created for any assumed set of solidification conditions. The simulation involves a system which initially consists of a two-dimensional array of sites representing liquid. Simulation of heat removal from the system permits the incorporation of routines for nucleation, growth, remelting and solute redistribution. The model qualitatively predicts the experimentally observed influences of superheat, mould temperature, alloy composition C 0 and constitutional supercooling parameter − m L C 0(1 − k 0)/ k 0 on grain structures. The model predictions give support to the “big-bang” heterogeneous nucleation theory for the origin of equiaxed crystals.
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