A mathematical approach to Ostwald ripening due to diffusion and deformation in liquid bridge

B. Randjelovic, K. Shinagawa, Z. S. Nikolic

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

From many experiments with mixtures of small and large grains, it can be concluded that during liquid phase sintering, smaller grains partially dissolve and a solid phase precipitates on the larger grains and grain coarsening occurs. The growth rate can be controlled either by the solid-liquid phase boundary reaction or by diffusion through the liquid phase. The microstructure may change either by larger grains growing during the Ostwald ripening process or by shape accommodation. In this study, two-dimensional mathematical approach for simulation of grain coarsening by grain boundary migration based on a physical and corresponding numerical modeling of liquid phase sintering will be considered. A combined mathematical method of analyzing viscous deformation and solute diffusion in liquid bridge between two grains with different sizes will be proposed. The viscous FE method will be used for calculating meniscus of the liquid bridge, with the interfacial tensions taken into consideration. The FE method for diffusion will be also implemented by using the same mesh as the deformation analysis.

Original languageEnglish
Pages (from-to)261-271
Number of pages11
JournalScience of Sintering
Volume45
Issue number3
DOIs
Publication statusPublished - 2013

Fingerprint

liquid bridges
Ostwald ripening
Liquids
liquid phase sintering
Liquid phase sintering
Coarsening
liquid phases
Diffusion in liquids
menisci
accommodation
Phase boundaries
Surface tension
solid phases
Precipitates
mesh
precipitates
solutes
interfacial tension
Grain boundaries
grain boundaries

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Condensed Matter Physics
  • Metals and Alloys
  • Materials Chemistry

Cite this

A mathematical approach to Ostwald ripening due to diffusion and deformation in liquid bridge. / Randjelovic, B.; Shinagawa, K.; Nikolic, Z. S.

In: Science of Sintering, Vol. 45, No. 3, 2013, p. 261-271.

Research output: Contribution to journalArticle

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