A Fractal Approach to Structure Analysis and Micro-Mechanical Modeling of Elastomer Materials Dem Fachbereich Maschinenbau der Universität Hannover zur Erlangung der venia legendi im Fach Polymere Werkstoffe vorgelegte Habilitationsschrift von Dr. rer. nat. Manfred Klüppel Deutsches Institut für Kautschuktechnologie e. V. Eupener Str. 33 30519 Hannover 1Abstract: The paper considers the fractal nature of filler networks on different length scales and relates it to the specific reinforcing properties of active fillers in elastomer composites. On nanoscopic length scales, the surface structure and primary aggregate morphology of carbon blacks, the most widely used filler in technical rubber goods, are analyzed by static gas adsorption and transmission electron microscopy (TEM) techniques, respectively. They are found to be closely related to two distinct disordered growth mechanisms during carbon black processing, surface growth and aggregate growth. This implies that carbon blacks exhibit characteristic self-similar structures, which can be quantified by two fractal exponents, the surface and mass fractal dimension. The role of disorder becomes also apparent on mesoscopic length scales of elastomer composites, where a filler network in formed due to attractive filler-filler interactions.