Computer simulation of grain growth in particle dispersed structure

The effect of dispersed particles on grain growth has been studied by computer simulation using a two-dimensional lattice model. The relation between R̄ and r̄, the mean radii of matrix grains and dispersed particles, is approximated by R̄=[(π/2αΦ)/f] ^1/2 ·r̄, where f is the area fraction of dispersed phase, α is the correction factor for adjusting the pinning force, and Φ is the fraction of particles being located on grain boundaries. The parameters, α and Φ, have been evaluated by computer simulation, and it was concluded that Zener's relation in two dimensional structure; R̄=(π/4)·r̄/f is to be modified to R̄=(5.0/ √p)r̄/ √f, where p is a parameter representing the pinning effect in this simulation.