Numerical Evaluation Of Micro- To Macroscopic Mechanical Behavior Of Carbon-black-filled Rubber
(Yoshihiro Tomita)
We investigate the characteristic deformation behavior of
rubber with carbon black (CB) filler. The deformation
behaviors of a plane strain rubber unit cell containing CB
fillers under monotonic and cyclic strain are investigated
by computational simulation with a nonaffine molecular-
chain network model. The results reveal the substantial
enhancement of the resistance of the rubber to macroscopic
deformation, which is caused by the marked orientation
hardening due to the highly localized deformation in the
rubber. The disentanglement of the molecular chain during
the deformation of rubber results in the magnification of
the hysteresis loss, i.e., the Mullins effect, occurring in
stress?stretch curves under cyclic deformation processes.
The increase in volume fraction and in aggregation of the
distribution of CB substantially raises the resistance of
the rubber to deformation and hysteresis loss. The effect
of the heterogeneous distribution of the initial average
number of segments of molecular chains on the hysteresis
loss has been clarified.
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