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3D-Characterization of Sintered Microstructures with Prismatic Grains - A Precondition for Microstructural Modelling of Si3N4 Ceramics

  • Chapter
Tailoring of Mechanical Properties of Si3N4 Ceramics

Part of the book series: NATO ASI Series ((NSSE,volume 276))

Abstract

A precondition for the modelling of microstructures with nonspheroidal grains is the adequate description of grain size as well as grain shape parameters. Firstly, a characterization technique for the quantification of spatial parameters of prismatic grains in a microstructure is presented. This new method is discussed to recover stereoscopic grain parameters from metallographic micrographs. It transforms the histogram of size and shape of grain sections measured in the micrograph into the histogram of spatial size and shape of the grains. The algorithm has been applied to regular hexagonal prisms with random size and shape. Si3N4 microstructures with columnar crystallites are an important application of this technique.

Because the errors of such microstructural characterization essentially depend on the limits of discretization as well as on the detection errors for the frequencies of different types of planar sections, image analysis procedures have also been optimized carefully. Secondly, a simplified model is used to simulate the microstructural development in some typical cases of liquid phase sintered Si3N4 samples. Lognormal distributions have been fitted to the size distributions of each class of aspect ratios. The first momenta of these distributions of more than 30000 grains have been used to verify a simple grain growth model.

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Authors and Affiliations

  1. MPI für Metallforschung, Institut für Werkstoffwissenschaft, Pulvermetallurgisches Laboratorium, Heisenbergstr. 5, D-70569, Stuttgart, Germany

    F. Mücklich, S. Hartmann, M. J. Hoffmann & G. Petzow

  2. Eisenhütten-Institut, Institut für Stochastik, TU Bergakademie Freiberg, Leipziger Str. 34, D-09596, Freiberg, Germany

    J. Ohser

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  1. F. Mücklich
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  2. J. Ohser
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  3. S. Hartmann
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  4. M. J. Hoffmann
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  5. G. Petzow
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Editors and Affiliations

  1. Max-Planck-Institut für Metallforschung, Institut für Werkstoffwissenschaft, Pulvermetallurgisches Laboratorium, Heisenbergstr. 5, D - 70569, Stuttgart, Germany

    Michael J. Hoffmann  & Günter Petzow  & 

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© 1994 Springer Science+Business Media Dordrecht

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Mücklich, F., Ohser, J., Hartmann, S., Hoffmann, M.J., Petzow, G. (1994). 3D-Characterization of Sintered Microstructures with Prismatic Grains - A Precondition for Microstructural Modelling of Si3N4 Ceramics. In: Hoffmann, M.J., Petzow, G. (eds) Tailoring of Mechanical Properties of Si3N4 Ceramics. NATO ASI Series, vol 276. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0992-5_5

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  • DOI: https://doi.org/10.1007/978-94-011-0992-5_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4430-1

  • Online ISBN: 978-94-011-0992-5

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