Mechanics of nano-particles filled elastomers based on polymer chain length statistics

Abstract eng:
The present contribution deals with the constitutive modeling of carbon nanotube (CNT) reinforced rubbers on the basis of the polymer chain length statistics. Rubbers both with conventional fillers like silica or carbon black (hybrid system) and without them are considered. The reinforcement by CNTs is explained by additional cross-linking which influences the probability density function of polymer chain lengths. The change in the probability density function is statistically reasoned and incorporated into a full network model based on the numerical integration over the unit sphere. This full network model is able to describe typical inelastic effects of filled rubbers like the Mullins effect, strain induced anisotropy and permanent set. The so obtained model demonstrates good agreement with experimental data on CNT blended rubbers available in literature.

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