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Evaluation of morphological representative sample sizes for nanolayered polymer blends

Article dans une revue avec comité de lecture
Author
BIRONEAU, Adrien
DIRRENBERGER, Justin
SOLLOGOUB, Cyrille
MIQUELARD-GARNIER, Guillaume
ccROLAND, Sébastien
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/11276
DOI
10.1111/jmi.12415
Date
2016
Journal
Journal of Microscopy

Abstract

The size of representative microstructural samples obtained from atomic force microscopy is addressed in this paper. The case of an archetypal one-dimensional nanolayered polymer blend is considered. Image analysis is performed on micrographs obtained through atomic force microscopy, yielding statistical data concerning morphological properties of the material. The variability in terms of microstructural morphology is due to the thermomechanical processing route. The statistical data is used in order to estimate sample size representativity, based on an asymptotic relationship relating the inherent point variance of the indicator function of one material phase to the statistical, size-dependent, ensemble variance of the same function. From the study of nanolayered material systems, the statistical approach was found to be an effective mean for discriminating and characterizing multiple scales of heterogeneity.

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