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Abstract
We present a model that describes anisotropic shrinkage during sintering in a powder compact of aligned, elongated particles by deriving the anisotropic sintering stress and the anisotropic generalized viscosity as a function of material and geometric parameters. The powder compact consists of elongated particles, which are perfectly aligned and simply packed with elliptical pores at all the quadra-junctions between the particles. The model considers mass transport by grain boundary diffusion and surface diffusion. Shrinkage rates are calculated for a variety of geometries and are compared to kinetic Monte Carlo simulations.
Acknowledgements
This work was partially performed at Sandia National Laboratories, a multiprogramme laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the USDOE under the contract DE-AC04-94AL-85000. This work has been supported by the NSF Divisions of Manufacturing and Industrial Innovation (Grants DMI-9985427 and DMI-035487), Civil and Mechanical Systems (Grant CMS – 030115) and Divison of Materials Research (Grant DMR – 0313346).