Transport mechanisms and densification during sintering: II. Grain boundaries

Chemical Engineering Science

Volumn 64, Issue 17, 2009, Pages 3810-3816

  Djohari, Hadrian ^a   Derby, Jeffrey J ^a  

^a University of Minnesota   (United States)

Author keywords

Materials processing; Mathematical modeling; Microstructure; Powder technology; Sintering; Transport processes

Indexed keywords

BODY MOTIONS; CRYSTALLINE SYSTEMS; DIHEDRAL ANGLES; DRIVING FORCES; FINITE ELEMENT; GRAIN BOUNDARY DIFFUSIVITY; MATERIALS PROCESSING; MATHEMATICAL MODELING; MESOSCALE; NECK GROWTH; POWDER TECHNOLOGY; TRANSPORT MECHANISM; TRANSPORT PROCESSES; VACANCY DIFFUSION;

DIFFUSION; FLUID DYNAMICS; GRAIN BOUNDARIES; GRAIN GROWTH; GRAIN SIZE AND SHAPE; MICROSTRUCTURE; POWDERS; SHRINKAGE; VACANCIES; VISCOSITY; VISCOUS FLOW;

SINTERING;

EID: 67650762525     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2009.05.022     Document Type: Article

References (42)

1. Bross P., and Exner H.E. Computer simulation of sintering processes. Acta Metall. 27 (1979) 1013-1020
2. Cannon R.M., and Carter C.W. Interplay of sintering microstructures, driving forces, and mass transport mechanisms. J. Am. Ceram. Soc. 72 (1989) 1550-1555
3. Carter W.C., and Cannon R.M. Sintering microstructures: instabilities and the interdependence of mass transport mechanisms. In: Handwerker C.A., Blendell J.E., and Kaisser W. (Eds). Ceramic Transactions-Symposium on Sintering of Advanced Ceramics vol. 7 (1988), American Ceramic Society, Cincinnati, OH 137-163
4. Ch'ng H.N., and Pan J. Cubic spline elements for modelling microstructural evolution of materials controlled by solid-state diffusion and grain-boundary migration. J. Comput. Phys. 196 (2004) 724-750
5. Ch'ng H.N., and Pan J. Modelling microstructural evolution of porous polycrystalline materials and a numerical study of anisotropic sintering. J. Comput. Phys. 204 (2005) 430-461
6. Djohari, H., 2004. A finite element model for the sintering of crystalline particles via vacancy diffusion. Ph.D. Thesis, University of Minnesota.
7. Djohari, H., Martínez-Herrera J., Derby, J.J., 2009. Transport mechanisms and densification during sintering: I. Viscous flow versus vacancy diffusion. Chem. Eng. Sci., in press, doi:10.1016/j.ces.2009.05.018.
8. Easterling K.E., and Thölén R. Computer-simulated models of the sintering of metal powders. Z. Metallkd. 61 (1970) 928-934
9. German R.M., and Lathrop J.F. Simulation of spherical powder sintering by surface diffusion. J. Mater. Sci. 13 (1978) 921-929
10. Gontier-Moya E.G., Aufray B., Beke D.L., and Erdelyi G. Surface diffusion and evaporation of silver on alumina. In: Smart R.St.-C., and Nowotny J. (Eds). Ceramic Interfaces Properties and Applications (1998), IOM Communications, Cambridge 419-429
11. Hooper R., Almeida V.F., Macosko C.W., and Derby J.J. Transient polymeric drop extension and retraction in uniaxial extensional flows. J. Non-Newtonian Fluid Mech. 98 (2001) 141-168
12. Hopper R.W. Coalescence of two equal cylinders: exact results for creeping viscous plane flow driven by capillarity. J. Am. Ceram. Soc. 67 (1984) C262-C264
13. Johnson D.L., and Cutler I.B. Diffusion sintering: II, initial sintering kinetics of alumina. J. Am. Ceram. Soc. 46 (1963) 545-550
14. Kraft T., and Ridel H. Numerical simulation of solid state sintering; model and application. J. Eur. Ceram. Soc. 24 (2004) 345-361
15. Kuzmov A., Olevsky E., and Maximenko A. Multi-scale modeling of viscous sintering. Modelling Simul. Mater. Sci. Eng. 16 (2008) 035002
16. Martínez-Herrera, J.I., 1995. Finite element analysis of the sintering of ceramic powders. Ph.D. Thesis, University of Minnesota.
17. Nichols F.A. Coalescence of two spheres by surface diffusion. J. Appl. Phys. 37 (1966) 2805-2808
18. Nichols F.A. Theory of sintering of wires by surface diffusion. Acta Metall. 16 (1968) 103-113
19. Nichols F.A., and Mullins W.W. Morphological changes of a surface of revolution due to capillarity-induced surface diffusion. J. Appl. Phys. 36 (1965) 1826-1835
20. Olevsky E.A., Tikare V., and Garino T. Multi-scale study of sintering: a review. J. Am. Ceram. Soc. 89 (2006) 1914-1922
21. Pan J., and Cocks A.C.F. A numerical technique for the analysis of coupled surface and grain-boundary diffusion. Acta Metall. Mater. 43 (1995) 1395-1406
22. Pan J., Cocks A.C.F., and Kucherenko S. Finite element formulation of coupled grain-boundary and surface diffusion with grain-boundary migration. Proceedings of the Royal Society of London A 453 (1997) 2161-2184
23. Pan J., Le H., Kucherenko S., and Yeomans J.A. A model for the sintering of spherical particles of different sizes by solid state diffusion. Acta Mater. 46 (1998) 4671-4690
24. Parhami F., McMeeking R.M., Cocks A.C.F., and Suo Z. A model for the sintering and coarsening of rows of spherical particles. Mech. Mater. 31 (1999) 43-61
25. Rahaman M.N. Ceramic Processing and Sintering (1995), Marcel Dekker, New York
26. Ruschak Kenneth J. Method for incorporating free boundaries with surface tension in finite element fluid-flow simulators. Int. J. Numer. Methods Eng. 15 (1980) 639-648
27. Sackinger P.A., Schunk P.R., and Rao R.R. A Newton-Raphson pseudo-solid domain mapping technique free and moving boundary problems: a finite element implementation. J. Comput. Phys. 125 (1996) 83-103
28. Salinger A.G., Xiao Q., Zhou Y., and Derby J.J. Massively parallel finite element computations of three-dimensional, time-dependent, incompressible flows in materials processing systems. Comput. Methods Appl. Mech. Eng. 119 (1994) 139-156
29. Sun B., and Suo Z. A finite element method for simulating interface motion-II. Large shape change due to surface diffusion. Acta Mater. 45 (1997) 4953-4962
30. Sun B., Suo Z., and Yang W. A finite element method for simulating interface motion-I. Migration of phase and grain boundaries. Acta Mater. 45 (1996) 1907-1915
31. Svoboda J., and Riedel H. New solutions describing the formation of interparticle necks in solid-state sintering. Acta Metall. Mater. 43 (1995) 1-10
32. Svoboda J., and Riedel H. Quasi-equilibrium sintering for coupled grain boundary and surface diffusion. Acta Metall. Mater. 43 (1995) 449-506
33. Ungar L.H., Ramprasad N., and Brown R.A. Finite element methods for unsteady solidification problems arising in prediction of morphological structure. J. Sci. Comput. 3 (1988) 77-108
34. Wakai F. Modeling and simulation of elementary processes in ideal sintering. J. Am. Ceram. Soc. 89 (2006) 1471-1484
35. Wakai F., and Aldinger F. Computer modeling and simulation of solid-state sintering: a phase field approach. Acta Mater. 54 (2006) 953-961
36. Wakai F., Chihara K., and Yoshida M. Anisotropic shrinkage induced by particle rearrangement in sintering. Acta Mater. 55 (2007) 4553-4566
37. Wang Y.U. Sintering through surface motion by the difference in mean curvature. Acta Mater. 51 (2003) 4013-4024
38. Zhang W., and Gladwell I. Sintering of two particles by surface and grain boundary diffusion-a three-dimensional model and a numerical study. Comput. Mater. Sci. 12 (1998) 84-104
39. Zhang W., and Schneibel J.H. The sintering of two particles by surface and grain boundary diffusion-a two-dimensional numerical study. Acta Metall. Mater. 43 (1995) 4377-4386
40. Zhang W., Sachenko P., Schneibel J.H., and Gladwell I. Coalescence of two particles with different sizes by surface diffusion. Philos. Mag. A 82 (2002) 2995-3011
41. Zhou H., and Derby J.J. Three-dimensional finite element analysis of viscous sintering. J. Am. Ceram. Soc. 81 (1998) 533-540
42. Zhou H., and Derby J.J. An assessment of a parallel, finite element method for three-dimensional, moving-boundary flows driven by capillarity for simulation of viscous sintering. Int. J. Numer. Methods Fluids 36 (2001) 841-865