In reviewing the papers published by the author and his coworkers, the discussion was focused on two topics; entaglements of linear polymers in concentrated solutions and steady-state compliance of branched polymers.
1) The intersegmental interaction working as entanglements in polymer solutions is different in different solvents as well as in different phenomena. The difference can well be observed by determining the critical degree of coil-overlapping in the scaling or its corresponding plot, at which entanglements begin to appear. The entanglement formation was found to become more difficult in the order of osmotic pressure, viscosity and steady-state compliance. And, the hydrodynamic entanglement for viscosity is stronger in poor solvents than in good solvents. Moreover, the shear rate dependences of steady-flow viscosity and steady-state compliance at different polymer concentrations form universal curves if they are reduced by a factor of 1/
C2. That is, the effect of increasing shear rate is equivalent to that of decreasing polymer concentration. This means that the main effect of increasing shear rate would be in decreasing the effective entanglement density. An analysis of transient viscoelastic phenomena such as stress-overshoot was presented based on this network rupture model. From these experimental results, it was pointed out that the solution viscosity of a linear polymer in poor solvents would be, in general, higher than in good solvents, whereas it is well known to be opposite in dilute solutions.
2) As molecular weight
M of a polymer is increased and/or as polymer concentration
C is increased, the steady-state compliance
Je of both linear and branched (nearly star-shaped) polymers transfer from the dilute solution region (J
e∝
M/
C) to the quasi-network region (
Je∝
M0/
C2) at a critical value of
CM. In the dilute solution region,
Je of star-shaped polymers is lower than that of the corresponding linear polymers having the same molecular weight, whereas it is opposite in the undiluted state. From comparison between polymer concentration dependences of branched and linear polymers it was pointed out that the critical value of
CM for star-shaped polymers is much higher than that for linear polymers, in contrast to the fact that the critical degree of coil-overlapping for viscosity is not much affected by branching. Consequently,
Je of star-shaped polymers becomes higher than that of the corresponding linear polymers at the undiluted state.
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