Mesoscale simulations of particle pinning

Abstract Despite much debate, there is still little consensus of opinion on the dependence of Zener pinning (the stagnation of grain growth caused by second-phase particles) on the volume fraction. The controversy surrounds attempts to relate the volume fraction of particles to the final pinned grain size. Analytical theories and 3D Monte Carlo simulations are in disagreement and the experimental evidence is inconclusive. In this paper we contribute to the debate by describing mesoscale 3D Monte Carlo simulations of a single boundary moving through an array of particles. It is found that the simulation temperature is a critical variable, and the simulated boundaries possess mobilities independent of driving force only when kT′ ≥ 2. This is explained in terms of a ledge mechanism of migration in which ledge repulsion becomes important when kT′ < 2. The effect of T′ is critical in determining the geometry of the boundary (and hence the pinning force) during particle bypass. When kT′ = 0, the expected dimple...

[1]  Mats Hillert,et al.  On the limit for particle attachment in Zener drag , 1986 .

[2]  Michael P. Anderson,et al.  Simulation and theory of abnormal grain growth: anisotropic grain boundary energies and mobilities , 1989 .

[3]  P. S. Sahni,et al.  Computer simulation of grain growth—II. Grain size distribution, topology, and local dynamics , 1984 .

[4]  N. P Louat.  On the theory of normal grain growth , 1974 .

[5]  Temperature dependence of domain growth , 1984 .

[6]  Elizabeth A. Holm,et al.  A fast serial algorithm for the finite temperature quenched Potts model , 1993 .

[7]  S. Ling,et al.  Monte Carlo simulation of grain growth and recrystallization in polycrystalline materials , 1992 .

[8]  G. Grest,et al.  Effects of lattice anisotropy and temperature on domain growth in the two-dimensional Potts model. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[9]  A. Godfrey,et al.  Some Monte Carlo studies of grain growth in a temperature gradient , 1995 .

[10]  A. Evans,et al.  Microstructure development during final/ intermediate stage sintering—II. Grain and pore coarsening , 1982 .

[11]  P. S. Sahni,et al.  Computer simulation of grain growth—I. Kinetics , 1984 .

[12]  Michael P. Anderson,et al.  Inhibition of grain growth by second phase particles: three dimensional Monte Carlo computer simulations , 1989 .

[13]  M. Harmer,et al.  The effects of particle size distribution and induced unpinning during grain growth , 1996 .

[14]  K. Easterling,et al.  Liquid film simulation of Zener grain boundary pinning by second phase particles , 1991 .

[15]  P. Hazzledine,et al.  Computer simulation of Zener pinning , 1990 .

[16]  G. Grest,et al.  Grain growth in three dimensions: a lattice model , 1985 .

[17]  F. J. Humphreys.  Chapter 10 – RECRYSTALLIZATION TEXTURES , 1995 .

[18]  I. Chen.  A stochastic theory of grain growth , 1987 .

[19]  B. Evans,et al.  Effect of Second‐Phase Particles on Grain Growth in Calcite , 1986 .

[20]  David J. Srolovitz,et al.  Computer simulation of grain growth—V. Abnormal grain growth , 1985 .

[21]  Mats Hillert,et al.  Inhibition of grain growth by second-phase particles , 1988 .