A new approach to determine rheological percolation of carbon nanotubes in microstructured polymer matrices

Influence of reduced graphene oxide on the rheological response and chain orientation on shear deformation of high density polyethylene

“…It is further noticed that by increasing the filler concentration, Figure 4c, the decrease in the absolute value of the damping factor (tan (δ) = G"/G') becomes more evident at the low frequency range (<0.1 rad/s). At a filler concentration of 6.0 wt %, a second cross-over point appears at low frequencies suggesting the formation of a weak network arising from the percolation of rGON sheets in the polymer melt, Figure 4d Similar observations have been reported in the composites of polycarbonate/CNTs, where the authors have reported significant increase in G' at low frequencies and the appearance of a second cross-over point at low frequencies with the increase in concentration of CNT [36]. rad/s) of elastic and viscous moduli have been chosen.…”

Simple cubic random-site percolation thresholds for neighborhoods containing fourth-nearest neighbors

“…The beauty of percolation [5] lays both in its simplicity and possible practical applications. The latter ranges from theoretical studies of geometrical model of the phase transition [6], via condensed matter physics [7], rheology [8], forest fires [9] to immunology [10] and quantum mechanics [11].…”

Shear flow‐induced orientation and structural recovery of multiwalled carbon nanotube in poly(ethylene oxide) matrix

“…It is generally known that in the vicinity of percolation threshold one can use a scaling low in the case of randomly distributed anisometric particles. Many researchers have used the plot of G ′ versus nanoparticle concentration to evaluate the rheological percolation threshold . This can be expressed as where G ′ is the storage modulus of the nanocomposite, ϕ is the MWCNT weight fraction, and ϕ c is the percolation critical concentration.…”