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Numerical Method for Computer Study of Liquid Phase Sintering: Densification Due to Gravity-Induced Skeletal Settling

In: Approximation and Computation

Author

Listed:
  • Zoran S. Nikolić

    (University of Niš)

Abstract

In this paper we will investigate numerically densification due to gravity-induced skeletal settling during liquid phase sintering. For domain definition we will use small identical cubic elements, voxels, of finite size. Solid skeleton formation will be introduced by defining skeleton units and by their time evolution and formation of large solid skeleton arranged in a long chain of connected solid-phase domains. As it will be assumed that under gravity condition Stokes’s law settling usually dominates microstructure formation, the settling procedure as well as the settling time will be used for computation of average migration distance during a given time interval. Thus, gravity-induced solid-phase domain evolution will be simulated by simultaneous computation of the displacement of the center of the mass and mass transport due to dissolution and precipitation at the interfaces between solid-phase domains and liquid matrix. The new methodology will be applied to the simulation of microstructural evolution of a regular multidomain model.

Suggested Citation

  • Zoran S. Nikolić, 2010. "Numerical Method for Computer Study of Liquid Phase Sintering: Densification Due to Gravity-Induced Skeletal Settling," Springer Optimization and Its Applications, in: Walter Gautschi & Giuseppe Mastroianni & Themistocles M. Rassias (ed.), Approximation and Computation, pages 409-424, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-6594-3_27
    DOI: 10.1007/978-1-4419-6594-3_27
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