Normal grain growth in three dimensions:: Monte Carlo Potts model simulation and mean-field theory

被引:0
作者
Zoellner, Dana [1 ]
Streitenberger, Peter [1 ]
机构
[1] Otto Von Guericke Univ, Inst Expt Phys, Abt Mat Phys, PF 4120, D-39016 Magdeburg, Germany
来源
FUNDAMENTALS OF DEFORMATION AND ANNEALING | 2007年 / 550卷
关键词
grain growth; kinetics; microstructure; Monte Carlo simulation; mean-field theory;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A modified Monte Carlo Potts model algorithm for single-phase normal grain growth in three dimensions in presented, which enables an extensive statistical analysis of the growth kinetics and topological properties of the microstructure within the quasi-stationary self-similar coarsening regime. From the mean-field theory an analytical grain size distribution function is derived, which is based on a quadratic approximation of the average self-similar volumetric rate of change as a function of the relative grain size as it has been determined from the simulation. The analytical size distribution function is found to be in excellent agreement with the simulation results.
引用
收藏
页码:589 / +
页数:2
相关论文
共 21 条
[1]  
Abbruzzese G, 1996, MATER SCI FORUM, V204-, P55
[2]   COMPUTER-SIMULATION OF NORMAL GRAIN-GROWTH IN 3 DIMENSIONS [J].
ANDERSON, MP ;
GREST, GS ;
SROLOVITZ, DJ .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1989, 59 (03) :293-329
[3]  
[Anonymous], J PHYS CHEM SOLIDS
[4]   THEORIES OF NORMAL GRAIN-GROWTH IN PURE SINGLE-PHASE SYSTEMS [J].
ATKINSON, HV .
ACTA METALLURGICA, 1988, 36 (03) :469-491
[5]   A discrete approach to grain growth based on pair interactions [J].
Di Nunzio, PE .
ACTA MATERIALIA, 2001, 49 (17) :3635-3643
[6]   Analysis of 3-D network structures [J].
Glicksman, ME .
PHILOSOPHICAL MAGAZINE, 2005, 85 (01) :3-31
[7]   An accurate von Neumann's law for three-dimensional foams [J].
Hilgenfeldt, S ;
Kraynik, AM ;
Koehler, SA ;
Stone, HA .
PHYSICAL REVIEW LETTERS, 2001, 86 (12) :2685-2688
[8]   ON THEORY OF NORMAL AND ABNORMAL GRAIN GROWTH [J].
HILLERT, M .
ACTA METALLURGICA, 1965, 13 (03) :227-&
[9]   THE KINETICS OF NORMAL GRAIN-GROWTH [J].
HUNDERI, O ;
RYUM, N .
JOURNAL OF MATERIALS SCIENCE, 1980, 15 (05) :1104-1108
[10]   Three-dimensional grain topology-size relationships in a real metallic polycrystal compared with theoretical models [J].
Liu, GQ ;
Yu, HB ;
Qin, XG .
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2002, 326 (02) :276-281