Grain growth in porous two-dimensional nanocrystalline materials
- 164 Downloads
Grain growth in two-dimensional polycrystals with mobile pores at the grain boundary triple junctions is considered. The kinetics of grain and pore growth are determined under the assumption that pore sintering and pore mobility are controlled by grain boundary and surface diffusion, respectively. It is shown that a polycrystal can achieve full density in the course of grain growth only when the initial pore size is below a certain critical value which depends on kinetic parameters, interfacial energies, and initial grain size. Larger pores grow without limits with the growing grains, and the corresponding grain growth exponent depends on kinetic parameters and lies between 2 and 4. It is shown that for a polycrystal with subcritical pores the average grain size increases linearly with time during the initial stages of growth, in agreement with recent experimental data on grain growth in thin Cu films and in bulk nanocrystalline Fe.
KeywordsTriple Junction Nanocrystalline Material Triple Line Residual Porosity Growth Exponent
This work was supported by the Russell Berrie Nanotechnology Institute (Technion) and by the RWTH Aachen through the Umbrella Cooperation Program.
- 5.Brook RJ (1976) In: Wang FFY (eds) Treatise on materials science and technology, vol 9. Academic, New York, pp 331–363Google Scholar
- 6.Yan MF, Cannon RM, Chowdhry U (1978) Am Ceram Bull 57:316Google Scholar
- 11.Gottstein G, Shvindlerman LS (1999) Grain boundary migration in metals. CRC Press, Boca RatonGoogle Scholar
- 14.Humphreys FJ, Hatherly M (1996) Recrystallization and related annealing phenomena. Elsevier, OxfordGoogle Scholar
- 15.Mishin Y, Kaur I, Gust W (1995) Fundamentals of grain and interphase boundary diffusion. Wiley, ChichesterGoogle Scholar
- 22.Klinger L, Rabkin E, Shvindlerman LS, Gottstein G (2008) J Mater Sci, to be submittedGoogle Scholar