Abstract
A micro-mechanical model of hyperelasticity and stress softening of filler reinforced elastomer materials is presented. It is based on recent investigations of filler morphology in elastomers and considers an advanced concept of rubber elasticity of bulk polymer networks together with a micromechanical model of stress induced filler cluster breakdown. The polymer network is described by a non-affine tube model of rubber elasticity with highly entangled chains, which takes into account that fluctuations in bulk networks are strongly suppressed by packing effects. The evaluation of stress softening is obtained via a pre-strain dependent hydrodynamic amplification of the rubber matrix by a fraction of rigid filler clusters with virgin filler-filler bonds. The filler-induced hysteresis is described by a cyclic breakdown and re-aggregation of the residual fraction of more soft filler clusters with already broken filler-filler bonds.
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