Numerical simulation of solid-state sintering: I, sintering of three particles

Journal of the American Ceramic Society

Volumn 86, Issue 1, 2003, Pages 49-53

  Tikare, Veena ^a   Braginsky, Michael ^a   Olevsky, Eugene A ^b  

^a SANDIA NATIONAL LABORATORIES   (United States)

^b UTC Aerospace Systems   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DENSIFICATION; DIFFUSION; GRAIN BOUNDARIES; GRAIN GROWTH; MONTE CARLO METHODS; MORPHOLOGY; POROSITY;

SOLID-STATE SINTERING;

SINTERING;

EID: 0037236712     PISSN: 00027820     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1151-2916.2003.tb03276.x     Document Type: Article

References (33)

1. J. Frenkel, "Viscous Flow of Crystalline Bodies Under the Action of Surface Tension," J. Phys. (USSR), 9 [5] 385-91 (1945).
2. G. C. Kuczynski, "Self-Diffusion in Sintering of Metallic Particles," Trans. AIME, 185, 169-78 (1949).
3. W. D. Kingery and M. Berg, "Study of the Initial Stages of Sintering Solids by Viscous Flow, Evaporation-Condensation and Self-Diffusion," J. Appl. Phys., 26, 1205-12 (1955).
4. D. L. Johnson and I. B. Cutler, "Diffusion Sintering: I, Initial State Sintering Models and Their Application to Shrinkage of Powder Compacts," J. Am. Ceram. Soc., 46, 541 (1963).
5. D. L. Johnson and T. M. Clarke, "Grain Boundary and Volume Diffusion in the Sintering of Silver," Acta Metall., 12, 1173-79 (1964).
6. R. L. Coble, "Initial Sintering of Alumina and Hematite," J. Am. Ceram. Soc., 41, 55 (1958).
7. D. L. Johnson, "New Method of Obtaining Volume, Grain-Boundary, and Surface Diffusion Coefficients from Sintering Data," J. Appl. Phys., 40 [1] 192-200 (1969).
8. H. E. Exner, "Principles of Single Phase Sintering," Rev. Powder Metall. Phys. Ceram., 1, 7 (1979).
9. F. A. Nichols and W. W. Mullins, "Morphology Changes of a Surface of Revolution Due to Capillarity-Induced Surface Diffusion," J. Appl. Phys., 36, 1826 (1965).
10. J. E. Burke, "Role of Grain Boundaries in Sintering," J. Am. Ceram. Soc., 40 [3] 80-85 (1957).
11. B. H. Alexander and R. W. Balluffi, "The Mechanism of Sintering of Copper," Acta Metall., 5, 666-77 (1957).
12. H. Zhou and J. J. Derby, "Three-Dimensional Finite-Element Analysis of Viscous Sintering," J. Am. Ceram. Soc., 81 [3] 533-40 (1998).
13. A. Jagota and P. R. Dawson, "Micromechanical Modeling of Powder Compacts: I, Unit Problems for Sintering and Traction Induce Deformation," Acta Metall., 36 [9] 2551-61 (1988).
14. P. Zeng, S. Zajac, P. C. Clapp, and J. A. Rifkin, "Nanoparticle Sintering Simulations," Mater. Sci. Eng., A252, 301-306 (1998).
15. H. E. Exner, "Neck Shape and Limiting GBD/SD Ratios in Solid State Sintering," Acta Metall. 35, 587-91 (1987).
16. J. Pan, H. Le, S. Kucherenko, and J. A. Yeomeans, "A Model for the Sintering of Spherical Particles of Different Sizes by Solid State Diffusion," Acta Mater., 46 [11] 4671-91 (1998).
17. W. Zhang and J. H. Scheibel, "The Sintering of Two Particles by Surface and Grain Boundary Diffusion - A Two-Dimensional Numerical Study," Acta Metall., 43, 4377-86 (1995).
18. J. Svoboda and H. Riedel, "New Solutions Describing the Formation of Interparticle Necks in Solid-State Sintering," Acta Metall. Mater., 43, 1-10 (1995).
19. M. P. Anderson, D. J. Srolovitz, G. S. Grest, and P. S. Sahni, "Computer Simulation of Grain Growth: I, Kinetics," Acta Metall., 32 [5] 783-91 (1984).
20. J. Wejchert, D. Weaire, and J. P. Kermode, "Monte Carlo Simulation of the Evolution of a Two-Dimensional Soap Froth," Philos. Mag. B, 53, 15-24 (1986).
21. E. A. Holm, James A. Glazier, D. J. Srolovitz, and G. S. Grest, "Effects of Lattice Anisotropy and Temperature on Domain Growth in the Two-Dimensional Potts Model," Phys. Rev. A, 43 [6] 2662-68 (1991).
22. D. J. Srolovitz, G. S. Grest, M. P. Anderson, and A. D. Rollett, "Computer-Simulation of Recrystallization II. Heterogeneous Nucleation Growth," Acta Metall., 36 [8] 2115-28 (1988).
23. T. T. Rautianinen and A. P. Sutton, "Influence of the Atomic Diffusion Mechanism on Morphologies, Kinetics, and the Mechanisms of Coarsening during Phase Separation," Phys. Rev. B, 59 [21] 13681-92 (1999).
24. V. Tikare and J. D. Cawley, "Numerical Simulation of Grain Growth in Liquid Phase Sintered Materials: II, Study of Isotropic Grain Growth," Acta Metall., 46 [4] 1343-56 (1998).
25. V. Tikare and E. A. Holm, "Simulation of Grain Growth and Pore Migration in a Thermal Gradient," J. Am. Ceram. Soc., 81 [3] 480-84 (1998).
26. V. Tikare, M. A. Miodownik, and E. A. Holm, "Three-Dimensional Simulation of Grain Growth in the Presence of Mobile Pores," J. Am. Ceram. Soc., 84 [6] 1379-85 (2001).
27. G. N. Hassold, I-W. Chen, and D. J. Srolovitz, "Computer Simulation of Final-Stage Sintering: I, Model, Kinetics, and Microstructure," J. Am. Ceram. Soc., 73 [10] 2857-64 (1990).
28. I-W. Chen, G. N. Hassold, and D. J. Srolovitz, "Computer Simulation of Final-Stage Sintering: II, Influence of Initial Pore Size," J. Am. Ceram. Soc., 73 [10] 2865 (1990).
29. G. E. Murch, "Simulation of Diffusion Kinetics with the Monte Carlo Method"; pp. 379-427 in Diffusion in Crystalline Solids. Edited by G. E. Murch and A. S. Nowick. Academic Press, New York, 1984.
30. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. N. Teller, and E. Teller, "Equation of State Calculations by Fast Computing Machines," J. Chem. Phys., 21, 1087-92 (1953).
31. R. T. DeHoff, "Stereological Theory of Sintering"; pp. 55-71 in Science of Sintering. Edited by D. P. Uskokovic et al. Plenum Press, New York, 1989.
32. Y. Limoge and J. L. Bocquet, "Monte Carlo Simulation in Diffusion Studies: Time Scale Problem," Acta Metall., 36 [7] 1717-22 (1988).
33. V. Tikare and J. D. Cawley, "Application of the Potts Model to Simulation of Ostwald Ripening," J. Am. Ceram. Soc., 81 [3] 485-91 (1998).