The present work concerns three-dimensional modelling of a filler network microstructure in rubber compounds. The model represents the carbon black filler in three states: primary fractal aggregates consisting of spherical over-lapped particles; secondary structures or agglomerates; and partially broken fragments of micropellets. The information about the structure hierarchy of the filler and its distribution in the matrix was obtained from the analysis of atomic force microscopy images of the material surface.
IkedaY, KatoA, ShimanukiJ, KohjiyaS, TosakaM and PoompradubS: ‘Nano-structural elucidation in carbon black loaded NR vulkanizate by 3D-TEM and in situ WAXD measurements’, Rubber Chem. Technol., 2007, 80, (2), 251–264.
2.
MorozovIA, LaukeB and HeinrichG: ‘A new approach to quantitative microstructural investigation of carbon black filled rubbers by AFM’, Rubber Chem. Technol., 2012, 85, (2), 244–263.
3.
EhrlL, SoonM and LattuadaM: ‘Generation and geometrical analysis of dense clusters with variable fractal dimension’, J. Phys. Chem. B, 2009, 113B, (31), 10587–10599.
4.
BourratX and OberlinA: ‘Mass fractal analysis of conducting carbon black morphology’, Carbon, 1988, 26, (1), 100–103.
5.
HerdCR, McDonaldGC and HessWM: ‘Morphology of carbon-black aggregates: fractal versus euclidean geometry’, Rubber Chem. Technol., 1991, 65, 107–129.
6.
HerrmannV, UnseldK and FuchsH.-B: ‘The scale behavior of fillers in elastomers by means of indentation tests’, Colloid Polym. Sci., 2002, 280, 267–273.
