Jean, Aurélie (2009) Rubber with carbon black fillers: from the nanoscopic structure to the macroscopic behaviour. PhD thesis Sciences et génie des matériaux, MAT- Centre des Matériaux PM Fourt, ENSMP p.270.

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Abstract

In mechanics of materials, a current issue is to better understand macroscopic phenomena by the study of microstructure. This approach is possible thanks to several developments of homogenization techniques in multiscale mechanics. In this PhD-Thesis, rubber with carbon black fillers is considered. Several mechanical properties of this material are strongly linked to the scattering of carbon black particles and aggregates in the elastomeric matrix at macroscopic scale. Two main objectives are pursued in this thesis. The first one consists in modeling the 3D microstructure of material. For that purpose, we establish a mathematical random morphological model of different scales of the microstructure. A dedicated parameter identification of this model on transmission microscopy images is presented. The originality of this method resides in the optimization process that we develop where a comparison of statistical moments between computed numerical transmission microscopy images and experimental data is carried out. We are able to compute microstructure morphologies very close to real ones. The second objective consists in determining the effective material properties, namely the elastic moduli and the electrical conductivity, of this material. Finite element simulations and the notion of Representative Volume Element (RVE) are used. The latter can be obtained by Monte Carlo evaluation of apparent properties on randomly generated microstructures of growing size. Several tools like finite element meshing and parallel computations applied to heterogeneous materials with high contrast were investigated for that purpose.

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