Nonlinear “oddities” at the percolation of 3D hierarchical graphene polymer nanocomposites

Нелинейные «аномалии» при перколяции трёхмерных иерархических графен-полимерных нанокомпозитов
Roland Kádár, Karolina Gąska, Thomas Gkourmpis
2020-04-06

3D hierarchical graphene nanocompositesChebyshev polynomial decompositionElectrical percolation thresholdFourier-transform rheologyNonlinear rheology
Abstract The nonlinear rheology of a novel 3D hierarchical graphene polymer nanocomposites was investigated in this study. Based on an isotactic polypropylene, the nanocomposites were prepared using simple melt mixing, which is an industrially relevant and scalable technique. The novel nanocomposites stand out as having an electrical percolation threshold (≈0.94 wt%) comparable to solution mixing graphene-based polymer nanocomposites. Their nonlinear flow behavior was investigated in oscillatory shear via Fourier-transform (FT) rheology and Chebyshev polynomial decomposition. It was shown that in addition to an increase in the magnitude of nonlinearities with filler concentration, the electrical percolation threshold corresponds to a unique nonlinear rheological signature. Thus, in dynamic strain sweep tests, the nonlinearities are dependent on the applied angular frequency, potentially detecting the emergence of a weakly connected network that is being disrupted by the flow. This is valid for both the third relative higher harmonic from Fourier-transform rheology,I3/1, as well as the third relative viscous,v3/1, Chebyshev coefficient. The angular frequency dependency comprised non-quadratic scaling inI3/1with the applied strain amplitude and a sign change inv3/1. The development of the nonlinear signatures was monitored up to concentrations in the conductor region to reveal the influence of a more robust percolated network.
1
At the percolation threshold, nonlinearities during dynamic strain sweeps depended on angular frequency, indicating flow disruption of a weakly connected network.
2
Both the third relative higher harmonic (I3/1) and third relative viscous Chebyshev coefficient (v3/1) captured the percolation signature.
3
Fourier-transform rheology and Chebyshev decomposition showed that nonlinearities increase with graphene concentration and exhibit a distinctive signature at electrical percolation.
4
Melt-mixed 3D hierarchical graphene/isotactic polypropylene nanocomposites achieved an electrical percolation threshold of approximately 0.94 wt%.
5
The percolation signature involved non-quadratic strain-amplitude scaling of I3/1 and a sign change in v3/1; higher concentrations revealed effects of a more robust network.

3D hierarchical graphene–isotactic polypropylene polymer nanocomposites near and above the electrical percolation threshold

Nonlinear oscillatory-shear rheology and its frequency-dependent signatures associated with the emergence and strengthening of the percolated graphene network

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2020-04-06
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Roland Kádár
Karolina Gąska
Thomas Gkourmpis
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