A model of liquid phase sintering by the homogenization |
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| Institution: | 1. Gottfried Schatz Research Center, Division of Biophysics, Medical University of Graz, Graz, Austria;2. Institute of Biomedical Engineering, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany;3. NumeriCor GmbH, Graz, Austria;4. Institute for Experimental Cardiovascular Medicine, University Heart Center Freiburg. Bad Krozingen, Medical Center – University of Freiburg, Freiburg, Germany;5. Faculty of Medicine, University of Freiburg, Freiburg, Germany;6. Institute of Mathematics and Scientific Computing, University of Graz, Graz, Austria;7. IHU Liryc, Electrophysiology and Heart Modeling Institute, Fondation Bordeaux Université, F-33600 Pessac-Bordeaux, France;8. Université Bordeaux, IMB, UMR 5251, F-33400 Talence, France |
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| Abstract: | We study the first stage of liquid phase sintering, when the particles rearrangement due to capillary forces is over. We give the boundary value problem satisfied by the displacement field of points of the medium in the phase of elastic compression of solid particles, for given capillary forces acting as a density of external forces, by using the homogenization method and we characterize the mechanical behavior of this constrained medium from the material properties of each elementary components. |
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