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Microstructure observation and statistic modeling of composites dielectric properties

Anthony Le Coent 
Abstract : Research work, from thinking about and looking for new materials, to making composites and characterising them, takes a great amount of time. For the engineer or the scientist, correlating the microstructure and the macroscopic physical properties, as soon as possible, saves time and money. In this study, the materials are composite materials containing carbon black aggregates, and we will focus our attention on their dielectric properties. We are going to learn more about this composite material. Several materials are made, with different parameters. Dielectric, electrical and others physical measurements provide us with a variety of physical properties of the material. Then, the transmission electron microscopy allows us to observe the configurations of the composite at different scale. The micrographies are transformed thanks to image processing techniques that give a fast access to geometrical parameters. The change of scale laws evaluate bounds on the dielectric properties of composites. They links the microstructure and the dielectric behaviour of a stochastic heterogeneous medium. In order to introduce the experimental results, i.e. the observations of microstructure, into a statistical change of scale theory, because of the rather complex equations, the data are introduced in a numerical code. The code is validated on a few original analytical examples, and used on various model materials, and also on our material with aggregates.
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Submitted on : Thursday, April 9, 2009 - 8:00:00 AM
Last modification on : Tuesday, September 29, 2015 - 10:32:47 AM
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  • HAL Id : pastel-00005000, version 1



Anthony Le Coent. Microstructure observation and statistic modeling of composites dielectric properties. Mathematics [math]. École Nationale Supérieure des Mines de Paris, 1995. English. ⟨pastel-00005000⟩



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