Computer simulation of texture evolution during grain growth: effect of boundary properties and initial microstructure

We investigate orientation selection during grain growth by computer simulation in two-dimension using the phase-field method. The model characterizes misorientation in three-dimension with all three degrees of freedom. The systems considered consist of a single cube component embedded in a matrix of randomly oriented grains in the initial microstructure. The average grain size and size distribution are similar for both textured and randomly oriented grains. Starting from various fractions and spatial distributions of the cube component, we show that the effect of boundary energy anisotropy on texture development differs drastically from that of mobility anisotropy. In all cases the fraction of the cube component increases if boundary energy is anisotropic, and decreases if boundary mobility is anisotropic while energy is isotropic. Similar to previous studies, when boundary energy is anisotropic the misorientation distribution is no longer time-invariant and grain growth kinetics deviates from the behavior of isotropic grain growth. However, mobility anisotropy could also alter misorientation distribution and hence affect grain growth kinetics, which is different from the results obtained previously for systems of either random or single-component texture. The initial spatial distribution of the texture component plays an important role in determining the time-evolution of the misorientation distribution and hence affects the overall kinetics of texture evolution and grain growth. The simulation results are analyzed using Turbull's theory on grain growth. It is found that even though many individual factors affect texture evolution during grain growth, the key factor that really controls the process is the local grain boundary energy density.

[1]  R. W. Balluffi,et al.  Interfaces in crystalline materials , 2009 .

[2]  S. L. Semiatin,et al.  3D Monte-Carlo simulation of texture-controlled grain growth , 2003 .

[3]  K. Kunze,et al.  Orientation imaging: The emergence of a new microscopy , 1993 .

[4]  Uwe Erb,et al.  A Grain Boundary Engineering Approach to Materials Reliability , 1996 .

[5]  J. Mackenzie,et al.  SECOND PAPER ON STATISTICS ASSOCIATED WITH THE RANDOM DISORIENTATION OF CUBES , 1958 .

[6]  K. Mehnert,et al.  Monte Carlo simulation of grain growth in textured metals using anisotropic grain boundary mobilities , 1996 .

[7]  B. R. Patton,et al.  On the theory of grain growth in systems with anisotropic boundary mobility , 2002 .

[8]  W. Carter,et al.  A continuum model of grain boundaries , 2000 .

[9]  J. E. Hilliard,et al.  Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .

[10]  Yunzhi Wang,et al.  Grain growth in anisotropic systems: comparison of effects of energy and mobility , 2002 .

[11]  Mats Hillert,et al.  On the theory of normal and abnormal grain growth , 1965 .

[12]  F. J. Humphreys,et al.  Recrystallization and Related Annealing Phenomena , 1995 .

[13]  Elizabeth A. Holm,et al.  Boundary Mobility and Energy Anisotropy Effects on Microstructural Evolution During Grain Growth , 2002 .

[14]  W. Carter,et al.  Extending Phase Field Models of Solidification to Polycrystalline Materials , 2003 .

[15]  H. Bunge.  Texture Analysis in Materials Science , 1982 .

[16]  M. Miodownik,et al.  On misorientation distribution evolution during anisotropic grain growth , 2001 .

[17]  Michael P. Anderson,et al.  Computer simulation of grain growth—IV. Anisotropic grain boundary energies , 1985 .

[18]  A. Rollett.  Texture Development Dependence on Grain Boundary Properties , 2002 .

[19]  J. Mackenzie,et al.  SOME STATISTICS ASSOCIATED WITH THE RANDOM DISORIENTATION OF CUBES , 1957 .

[20]  V. Novikov.  Texture development during grain growth in polycrystals with strong preferred orientation , 1999 .

[21]  F. J. Humphreys.  A unified theory of recovery, recrystallization and grain growth, based on the stability and growth of cellular microstructures—I. The basic model , 1997 .

[22]  P. Lin,et al.  Applications for grain boundary engineered materials , 1998 .

[23]  S. Tsurekawa,et al.  The control of brittleness and development of desirable mechanical properties in polycrystalline systems by grain boundary engineering , 1999 .

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

[25]  W. Read,et al.  Dislocation Models of Crystal Grain Boundaries , 1950 .

[26]  S. A. Dregia,et al.  Generalized phase-field model for computer simulation of grain growth in anisotropic systems , 2000 .

[27]  P. Klimanek,et al.  Grain growth in metals with strong textures: Three-dimensional Monte Carlo simulations , 1997 .

[28]  K. Lücke,et al.  A theory of texture controlled grain growth—I. Derivation and general discussion of the model , 1986 .

[29]  Long-Qing Chen,et al.  A novel computer simulation technique for modeling grain growth , 1995 .

[30]  Mark Miodownik,et al.  On boundary misorientation distribution functions and how to incorporate them into three-dimensional models of microstructural evolution , 1999 .

[31]  N. Hwang,et al.  Texture evolution by grain growth under a system of anisotropic grain boundary energy , 1997 .