Computer Simulations of Kinetics and Texture of Recrystallisation by a 3-D Potts Monte Carlo Model

Abstract

In the present work computer simulations using a 3-D Potts Monte Carlo model are demonstrated and discussed as a tool to study the effects of a number of parameters related to the deformation conditions as well as process and material parameters related to the nucleation and growth conditions of recrystallisation, such as e.g. second phase particles, which may influence the kinetics and texture of recrystallisation. The MC simulations have been combined with a deformation texture model to provide the deformation structure from which the recrystallisation nucleates and models which provide the relative proportions of certain nucleation mechanisms and their orientation spectrum. All together this gives a simulation tool which allows for a multitude of numerical experiments and the possibility to study parameter relationships which are often not easily available from experiments. The potential of such a simulation tool is discussed in terms of a few generic examples.

Large-scale simulations and parameter study for a simple recrystallization model

“…There is a long list of more recent works that add further physical details (such as texture) to the models and extend the simulations to three dimensions (for example, [30,31]), but the basic Monte Carlo techniques remain largely the same. It is important to be aware of some basic limitations of the Monte Carlo technique applied in [3,4]:…”

“…In three dimensions, [31] work on a 30 Â 30 Â 30 grid, and [30] work on a grid of 100 Â 100 Â 100 with 822 initial grains. In Sections 5.1 and 5.2, we perform much larger simulations in both two and three dimensions while at the same time having full benefit of subgrid resolution.…”