Computer simulation of grain growth in particle dispersed structure

The effect of dispersed particles on grain growth has been studied by computer simulation techniques using two and three dimensional lattice models. In the two dimensional model, the relation between R̄ and r̄, the mean radii of matrix grains and dispersed particles respectively, is approximated by the expression R̄ = (π/2αΦf) ^1/2-·r̄, where f is the area fraction of the dispersed phase, α the correction factor for adjusting the pinning force, and Φ the fraction of particles located on grain boundaries. The parameters α and Φ have been evaluated by computer simulation techniques. On the basis of the results obtained it is suggested that the relation R̄ = (5.0/√p)·r̄/√f which includes a parameter p representing the pinning energy would describe grain growth better than the original Zener's relation R̄ = (π/4)·r̄/f in two dimensional case. Computer simulation studies are underway to establish the validity of a similar relation R̄ = (4/αΦf) ^1/2-·r̄ and the evaluation of associated parameters in the three dimensional case.