A combined finite element and finite difference scheme for computer simulation of microstructure evolution and its application to pore-boundary separation during sintering

Computational Materials Science

Volumn 18, Issue 1, 2000, Pages 76-92

  Kucherenko, S ^a   Pan, J ^a   Yeomans, J A ^a  

^a UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007995977     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0927-0256(00)00089-6     Document Type: Article

References (21)

1. J. Pan, A.C.F. Cocks, A numerical technique for the analysis of coupled surface and grain-boundary diffusion, Acta Metall. 43 (1995) 1395-1406.
2. J. Pan, A.C.F. Cocks, S. Kucherenko, Finite element analysis of coupled grain-boundary and surface diffusion with grain-boundary migration, Proc. R. Soc. London A 453(1197) (1998) 2161-2184.
3. G.M. Pharr, W.D. Nix, A numerical study of cavity growth controlled by surface diffusion, Acta Metall. 27 (1979) 1615-1631.
4. P. Bross, H.E. Exner, Computer simulation of sintering processes, Acta Metall. 27 (1979) 1013.
5. D. Bouvard, R.M. McMeeking, The deformation of interparticle necks by diffusion controlled creep, J. Am. Ceram. Soc. 79 (3) (1993) 666-672.
6. W. Zhang, J.H. Schneibel, The sintering of two particles by surface and grain-boundary diffusion - a two-dimensional study, Acta Metall. 43 (1995) 4377.
7. W. Zhang, J.H. Schneibel, Numerical simulation of grain-boundary grooving by surface diffusion, Comput. Mater. Sci. 3 (3) (1995) 347-358.
8. J. Svoboda, H. Riedel, Pore-boundary interactions and evolution equations for the porosity and the grain size during sintering, Acta Metall. 40 (11) (1992) 2829-2840.
9. J. Pan, A.C.F. Cocks, Numerical simulation of superplastic deformation, Comput. Mater. Sci. 1 (1993) 95-109.
10. A. Needelman, J.R. Rice, Plastic creep flow effects in the diffusive cavitation of grain boundaries, Acta Metall. 28 (1980) 1315-1332.
11. Z. Suo, Motions of microscopic surfaces in materials, Adv. Appl. Mech. 33 (1997) 193-294.
12. G.D. Byrne, A.C. Hindmarsh, J. Comput. Phys. 70 (1987) 1.
13. W.W. Mullins, Theory of thermal grooving, J. Appl. Phys. 28 (1957) 333-339.
14. W.W. Mullins, The effect of thermal grooving on grain-boundary migration, Acta Metall. 6 (1958) 414-427.
15. D. Hull, D.E. Rimmer, The growth of grain-boundary voids under stress, Philos. Mag. Ser. 4 (8) (1959) 673-687.
16. C. Westwood, J. Pan, H. Le, S. Kucherenko, A. Crocombe, A simplified model for cavity growth along a grain-boundary by coupled surface and grain-boundary diffusion, European Journal of Mechanics A/Solids 19 (2000) 17-30.
17. T. Chuang, I. Rice, The shape of intergranular creep cracks growing by surface diffusion, Acta Metall. 21 (1973) 1625-1629.
18. R.J. Brook, J. Am. Ceram. Soc. 52 (1969) 56.
19. F.M.A. Carpay, J. Am. Ceram. Soc. 30 (1977) 82.
20. C.H. Hsueh, A.G. Evans, R.L. Coble, Acta Metall. 30 (1982) 1269.
21. J. Rodel, A.M. Glaeser, J. Am. Ceram. Soc. 73 (1990) 3302.