Length scales in phase coarsening: Theory, simulation, and experiment

Computational Materials Science

Volumn 34, Issue 3, 2005, Pages 235-253

  Wang, K G ^a   Glicksman, M E ^a   Rajan, K ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Al Li alloys; Diffusion screening; Fokker Planck equation; Multiparticle diffusion simulation; Phase coarsening; Phase field simulation

Indexed keywords

ALUMINUM ALLOYS; COMPUTER SIMULATION; DIFFUSION; MICROSTRUCTURE; PARTICLE SIZE ANALYSIS; PRECIPITATION (CHEMICAL);

AL-LI ALLOYS; DIFFUSION SCREENING; FOKKER PLANCK (FP) EQUATION; MULTIPARTICLE DIFFUSION SIMULATION; PHASE COARSENING;

MATERIALS SCIENCE;

EID: 21844463548     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2004.11.005     Document Type: Conference Paper

References (52)

1. I.M. Lifshitz, and V.V. Slyozov The kinetics of precipitation from supersaturated solid solution J. Phys. Chem. Solids 19 1961 35 50
2. C. Wagner Theorie der Älterrung von niederschlagen durch umlösen Z. Elektrochem. 65 1961 581 591
3. A.J. Ardell The effect of volume fraction on particle coarsening: theoretical considerations Acta Metall. 20 1972 61
4. J.H. Yao, K.R. Elder, H. Guo, and M. Grant Theory and simulation of Ostwald ripening Phys. Rev. B 47 1993 14110 14125
5. K. Tsumuraya, and Y. Miyata Coarsening models incorporating both diffusion geometry and volume fraction of particles Acta Metall. 31 1983 437
6. A.D. Brailsford, and P. Wynblatt The dependence of Ostwald ripening kinetics on particle volume fraction Acta Metall. 27 1979 489
7. S.P. Marsh, and M.E. Glicksman Kinetics of phase coarsening in dense systems Acta Mater. 44 1996 3761 3771
8. J.A. Marqusee, and J. Ross Theory of Ostwald ripening: competitive growth and its dependence on volume fraction J. Chem. Phys. 80 1984 536 543
9. V.E. Fradkov, M.E. Glicksman, and S.P. Marsh Coarsening kinetics in finite clusters Phys. Rev. E 53 1996 3925 3932
10. H. Mandyam Statistical simulations of diffusional coarsening in finite clusters Phys. Rev. E 58 1998 2119 2130
11. M.E. Glicksman, K.G. Wang, and S.P. Marsh Diffusional interactions among crystallites J. Cryst. Growth 230 2001 318 327
12. A. Baldan Progress in Ostwald ripening theories and their applications to nickel-base superalloys J. Mater. Sci. 37 2002 2171
13. J. Weins, and J.W. Cahn The effect of size and distribution of second phase particles and voids on sintering G.C. Kuczynski Sintering and Related Phenomena 1973 Plenum New York 151 163
14. P.W. Voorhees, and M.E. Glicksman Solution to the multi-particle diffusion problem with applications to Ostwald ripening - II. computer simulations Acta Metall. 32 1984 2013 2030
15. C.W.J. Beenakker Numerical simulation of diffusion-controlled droplet growth: dynamical correlation effects Phys. Rev. A 33 1986 4482 4485
16. N. Akaiwa, and P.W. Voorhees Late-stage phase separation: dynamics spatial correlations, and structure functions Phys. Rev. E 49 1994 3860 3880
17. M.E. Glicksman, K.G. Wang, and P. Crawford Simulations of microstructural evolution M. Cross J.W. Evans C. Bailey Computational Modeling of Materials, Minerals and Metals Processing 2001 The Minerals, Metals and Materials Society 703 713
18. K.G. Wang, M.E. Glicksman, and P. Crawford Multiplicative noise in microstructure evolution A. Zavaliangos Modeling and Numerical Simulation of Materials Behavior and Evolution vol. 731 2002 Materials Research Society 227 233
19. K.G. Wang, M.E. Glicksman, and K. Rajan Modeling and simulation for phase coarsening: a comparison with experiment Phys. Rev. E 69 2004 061507
20. P.C. Hohenberg, and B.I. Halperin Theory of dynamic critical phenomena Rev. Mod. Phys. 49 1977 435
21. H. Emmerich The Diffuse Interface Approach in Materials Science 2003 Springer-Verlag Berlin, Heidelberg
22. R. Kobayashi Bull. Jpn. Soc. Ind. Appl. Math. 1 1991 22
23. R. Kobayashi Physica D 63 1993 410
24. A.J. Bray Theory of phase-ordering kinetics Adv. Phys. 43 1994 357
25. D. Fan, S.P. Chen, L.-Q. Chen, and P.W. Voorhees Phase-field simulation of 2-D Ostwald ripening in the high volume fraction regime Acta Mater. 50 2002 1895 1907
26. 3Li precipitates: phase-field simulation in 2D and 3D Scr. Mater. 42 2000 967
27. J.Z. Zhu, T. Wang, A.J. Ardell, Z.K. Liu, S.H. Zhou, and L.Q. Chen Three-dimensional phase-field simulations of coarsening kinetics of γ′ particles in binary Ni-Al alloys Acta Mater. 52 2004 2837
28. 3Li) precipitates in Al-2.8Li-0.3Mn alloy Mater. Sci. Eng. 70 1985 217
29. K. Mahalingam Coarsening of δ′ Al-3Li Precipitates in Binary Al-Li Alloys Acta Metall. 35 1987 483
30. S. Abis Late stage of δ′ precipitation in an Al-Li alloy by small-angle neutron scattering Phys. Rev. B 42 1990 2275
31. D.Z. Che, S. Spooner, and J.J. Hoyt Experimental and theoretical investigation of the scaled structure function in Al-Li alloys Acta Mater. 45 1997 1167
32. A. Baldan Progress in Ostwald ripening theories and their application to γ′-precipitates in nickel-base superalloys. Part II. Nickel-base superalloys J. Mater. Sci. 37 2002 2379
33. J. Alkemper, V.A. Snyder, N. Akaiwa, and P.W. Voorhees Dynamics of late-stage phase separation: a test of theory Phys. Rev. Lett. 82 1999 2725 2728
34. V.A. Snyder, J. Alkemper, and P.W. Voorhees The development of spatial correlations during Ostwald ripening: a test of theory Acta Mater. 48 2000 2689 2701
35. N.C. Bartelt, W. Theis, and R.M. Tromp Ostwald ripening of two-dimensional islands on Si(0 0 1) Phys. Rev. B 54 1996 11741
36. J.R. Rogers Coarsening of three-dimensional droplets by two-dimensional diffusion. Part I. Experiment J. Electr. Mater. 23 1994 999
37. K.G. Wang Kinetics of particle coarsening process Z. Phys. B 94 1994 353
38. K.G. Wang Nonequilibrium statistical mechanical formulation for grain growth Z. Phys. B 99 1996 593
39. S.P. Marsh, and M.E. Glicksman Environmental noise effects in statistical coarsening theory W.H. Hofmeister J.R. Rogers N.B. Singh S.P. Marsh P.W. Voorhees Solidification 1999 1999 The Minerals, Metals and Materials Society 229 238
40. C.S. Pande, and A.K. Rajagopal Uniqueness and self similarity of size distributions in grain growth and coarsening Acta Mater. 49 2001 1805
41. M.E. Glicksman, K.G. Wang, and P. Crawford Stochastic effects in microstructure J. Mater. Res. 5 2002 231 241
42. K.G. Wang, and M.E. Glicksman Noise of microstructural environments in late-stage phase coarsening Phys. Rev. E 68 2003 051501
43. G.R. Carlow, S.Y. Krylov, and M. Zinke-Allmang Screening effects during late stage phase separation Physica A 261 1998 115
44. M. Marder Correlation and Ostwald ripening Phys. Rev. A 36 1987 858
45. W.W. Mullins The statistical self-similarity hypothesis in grain growth and particle coarsening J. Appl. Phys. 59 1986 1341
46. K.G. Wang, M.E. Glicksman, and K. Rajan Computational model for high speed screening of polymer microstructures Macromol. Rapid Comm. 25 2004 377 381
47. J.B. Hudson Surface Science 1992 Butterworth-Heinemann Boston
48. H. Emmerich The Diffuse Interface Approach in Materials Science 2003 Springer-Verlag Berlin, Heidelberg p. 21
49. T. Kupper, and N. Masbaum Simulation of particle growth and Ostwald ripening via the Cahn-Hillard equation Acta Mat. 42 1994 1847
50. J.W. Cahn, and J.E. Hillard Free energy of a nonuniform system. I. Interfacial free energy J. Chem. Phys. 28 1958 258
51. S.M. Allen, and J.W. Cahn A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening Acta Metall. 27 1979 1084
52. K. Elder Langevin simulations of non-equilibrium phenomena Comput. Phys. 7 1993 27