Theory of normal grain growth in normalized size space

Acta Materialia

Volumn 51, Issue 13, 2003, Pages 3895-3904

  Gusak, A M ^a,b   Tu, K N ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b CHERKASY NATIONAL UNIVERSITY   (Ukraine)

Author keywords

Grain growth; Mean field analysis; Normalized size space; Size distribution; Surface energy

Indexed keywords

FREE ENERGY; GRAIN GROWTH; GRAIN SIZE AND SHAPE; INTERFACIAL ENERGY; MICROSTRUCTURE; TOPOLOGY;

MEAN-FIELD ANALYSIS;

POLYCRYSTALLINE MATERIALS;

EID: 0038690340     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-6454(03)00214-3     Document Type: Article

References (24)

1. Burke J.E., Turnbull D. Recrystallization and Grain Growth. Progr. Met. Phys. 3:1952;220-292.
2. Hillert M. On the theory of normal and abnormal grain growth. Acta metall. 13:1965;227-238.
3. von Neumann. Discussion Remark Concerning Paper of C.S. Smith, Grain Shapes and Other Metallurgical Applications of Topology. Metal Interfaces, Cleveland, OH, American Society for Metals 1952, p. 108-110.
4. Mullins W.W. Two Dimensional Motion of Idealized Grain Boundaries. J. Appl. Phys. 27:1956;900-904.
5. Stavans J. The evolution of cellular structures. Rep. Prog. Phys. 56:1993;733-789.
6. Thompson C.V. Grain Growth in Thin Films. Annual Review of Materials Science. 20:1990;245-268.
7. Holm E.A., Glazier J.A., Srolovitz D.J., Grest G.S. Effects of Lattice Anisotropy and Temperature on Domain Growth in the Two Dimensional Potts Model. Phys. Rev. A. 43:1991;2662-2668.
8. Fradkov V.E., Kravchenko A.S., Shvindlerman L.S. Experimental investigation of normal grain growth in terms of area and topological class. Scripta Metall. 19:1985;1291-1295.
9. Fayad W., Thompson C.V., Frost H.J. Steady State Grain Size Distributions Resulting from Grain Growth in Two Dimensions. Scripta mater. 40:1999;1199-1205.
10. Thompson C.V. Grain Growth and Evolution of Other Cellular Structures. Solid State Physics (Academic Press). 55:2000;269-314.
11. Carpenter D.T., Codner J.R., Barmak K., Rickman J.M. Issues associated with the analysis and acquisition of thin film grain size data. Mater. Lett. 41:1999;296-302.
12. Fradkov V.E., Udler D.G., Shvindlerman L.S. Computer simulation of grain growth in two dimensions. Scripta metall. 19:1985;1286-1290.
13. Fradkov V., Shvindlerman L., Udler D. Short-range order in the arrangement of grains in two-dimensional polycrystals. Phil. Mag. Lett. 55:1987;289-294.
14. Marder M. Soap-bubble growth. Phys. Rev. A. 36:1987;438-440.
15. Luoat N.P. On the theory of normal grain growth. Acta Metall. 22:1974;721-724.
16. Louat N.P., Duesbery M.S., Sadananda K. On the role of random walk in normal grain growth. Mater. Sci Forum. 94-96:1992;67-76.
17. Pande C.S. On a stochastic theory of grain growth. Acta Metall. 35:1987;2671-2678.
18. Pande C.S. Stochastic theory of grain growth. Materials Science Forum. 94-96:1992;351-360.
19. Lifshiz I.M., Slezov V.V. The kinetics of diffusive decomposition of oversaturated solid solutions. Sov. JETP. 35:1958;479-492.
20. Wagner C. Theorie der Altrung von Niederschlagen durch Umblosen (Ostwald-Reinfund). Z. Electrochem. 65:1961;581-591.
21. Gusak AM, Tu KN. Kinetic theory of flux-driven ripening. Phys. Rev. B, 2002; 66: 115403-1-14.
22. Lucke K., Abruzzese G., Heckelmann I. Statistical Theory of 2-D Grain Growth based on First Principles and its Topological Foundation. Materials Science Forum. 94-96:1992;3-16.
23. Mullins W.W. Grain growth of uniform boundaries with scaling. Acta mater. 46:1998;6219-6226.
24. Di Nunzio P.E. A discrete approach to grain growth based on pair interactions. Acta mater. 49:2001;3635-3643.