Abstract
Liquid phase sintering is a method often used to elaborate materials in powder metallurgy. As the properties of the materials strongly depend on the microstructure of the grains, the evolution of the grain growth has been studied and modelled for many years. Unfortunately, the experimental conditions do not fit correctly with the hypothesis of this model.
We have choosen to follow the growth of materials using probabilistic multiphased models which do not depend on the experimental parameters. Several liquid phase sintered materials were studied by automatic image analysis. The parameters of 3 models (Boolean model, Mosaic model and Dead Leaves model) were estimated and the coarsening kinetics of WC-Co may be described by a Boolean scheme with poissonian grains. These models do nevertheless not apply to materials with spherical grains.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beucher, S. (1990) Thèse de Doctorat, Ecole des Mines de Paris.
Bretheau, T. & Jeulin, D. (1989) Caractéristiques morphologiques des constituants et comportement à la limite élastique d’un matériau biphasé Fe/Ag. Rev. Phys. Appl., 24, 861–869.
Coster, M. (1969) Thèse de Docteur Ingénieur., Université de Caen.
Coster, M. & Chermant, J.L (1985) Précis d’analyse d’images. Les Presses du CNRS.
Exner, H.E. & Fischmeister, H. (1966) Gefügeausbildung von gesinterten WC-Co Hartelegierungen. Arch. Eisenhüttenues., 37, 417.
Gauthier, G., Quenec’h, J-L., Coster, M. & Chermant, J-L. segmentation of grain boundaries in WC-Co cermets. To be published in Acta Stereol., 1993.
Hanitzsch, E. & Kahlweit, M. (1969) Ageing of precipitates, in Symposium on Industrial Crystallisation, pl30-141.
Jeulin, D. (1979) Thèse de Docteur Ingénieur, Ecole des Mines de Paris.
Jeulin, D. (1981) Mathematical morphology and multiphase materials. Stereol. Iugosl., 3/Suppl 1, 265–286.
Jeulin, D. (1987) Anisotropic rough surface modelling by random morphological functions. Acta Stereol., 6, 183–189.
Jeulin, D. (1991) Thèse de Docteur ès Sciences Physiques, Université de Caen.
Lifshitz, I.M. & Slyosov, V.V. (1961) The kinetics of precipitation from supersaturated solid solutions. J. Phys. Chem. Solids, 15, 35–50.
Matheron, G. (1967) Eléments pour une théorie des milieux poreux, Masson et Cie, Paris.
Matheron, G. (1968) Schéma Booléen séquentiel de partition aléatoire. Rapport interne N-83. C.M.M., Ecole des Mines de Paris.
Miles, R.E. (1976) Estimating aggregate and overall characteristics from thick sections by transmission microscopy. J. Nicrosc., 107, 227–233.
Quenec’h, J-L., Coster, M., Chermant, J-L. & Jeulin, D. (1992) Study of the liquid phase sintering process by probabilistic models: application to the coarsening of WC-Co cermets. J. Hicrosc., 68, 3–14.
Quenec’h, J-L., Coster, M., Chermant, J-L. & Jeulin, D. (1993) Etude de la cinétique de frittage à l’aide de modèles d’ensembles aléatoires. Rev. Met.-Sci. Génie Mat., 90, 611–621.
Serra, J. (1982) Image analysis and mathematical morphology, Academic Press, London.
Stoyan, D., Kendall, W.S. & Mecke, J. (1987) Stochastic geometry and its application. J. Wiley and Sons, Chichester.
Wagner, C. (1961) Theory of precipitate change by redissolution. Z. Elektrochem., 65, 581–591.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Coster, M., Quenec’h, JL., Chermant, Jeulin, D. (1994). Probabilistic Models and Image Analysis: Tools to Describe Liquid Phase Sintered Materials. In: Breysse, D. (eds) Probabilities and Materials. NATO ASI Series, vol 269. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1142-3_34
Download citation
DOI: https://doi.org/10.1007/978-94-011-1142-3_34
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4500-1
Online ISBN: 978-94-011-1142-3
eBook Packages: Springer Book Archive