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A multiscale microstructure model of carbon black distribution in rubber
Author(s) -
JEAN A.,
JEULIN D.,
FOREST S.,
CANTOURNET S.,
N'GUYEN F.
Publication year - 2011
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.2010.03428.x
Subject(s) - microstructure , homogenization (climate) , carbon black , materials science , natural rubber , percolation (cognitive psychology) , statistical physics , composite material , cluster analysis , computer science , physics , artificial intelligence , biodiversity , ecology , neuroscience , biology
Summary The increase of observations and computational capabilities favoured the numerical simulation of microstructure to derive the effective properties of materials. Indeed, the multiscale approaches, that use homogenization techniques, enable us to estimate or to give bounds of the overall properties of heterogeneous media. In this work, the objective is to develop a three‐dimensional mathematical model of the morphology of the microstructure of rubber composite containing carbon black nano‐fillers. This multiscale model consists of a combination of some primary models that correspond to the physical scales of the microstructure. It is identified according to an original method that uses statistical moments from experimental transmission electronic microscope (TEM) image data and from numerical TEM simulations. This method leads to three‐dimensional representative simulations of microstructures that take the complex clustering effect of particles in aggregates, into account. Finally, the identified model of the morphology satisfies the experimental percolation rate of the carbon black aggregates in the material.