Determination of the size of representative volume element for viscous sintering

DOI Web Site 12 Citations 20 References Open Access
  • OKUMA Gaku
    Secure Materials Center, Materials and Structures Laboratory, Tokyo Institute of Technology
  • KADOWAKI Daiki
    Secure Materials Center, Materials and Structures Laboratory, Tokyo Institute of Technology
  • SHINODA Yutaka
    Secure Materials Center, Materials and Structures Laboratory, Tokyo Institute of Technology
  • AKATSU Takashi
    Course of Advanced Technology Fusion, Graduate School of Science and Engineering, Saga University
  • GUILLON Olivier
    Institute of Energy and Climate Research IEK-1: Materials Synthesis and Processing, Forschungszentrum Jülich GmbH
  • WAKAI Fumihiro
    Secure Materials Center, Materials and Structures Laboratory, Tokyo Institute of Technology

Abstract

The representative volume element (RVE) is a basic concept in the continuum mechanics of sintering of random heterogeneous porous materials. A quantitative determination of its size was performed by using synchrotron X-ray microtomography data of constrained sintering of thin glass film on a rigid substrate. A RVE size is associated with a property of interest; we determined it for relative density, specific surface area, and hydrostatic component of sintering stress. The RVE size was estimated to be from 11 to 17 times larger than the average initial particle size. The RVE size was associated with a given precision of the property. It depended on the volume fraction of porous structure, or, relative density, so that it varied with microstructural evolution.

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