ABSTRACT:The viscoelastic properties of concentrated solutions of linear and randomly branched polystyrenes were measured and compared with each other. From the frequency dependence of the storage shear modulus G' and the loss modulus G", the characteristic parameters in the terminal zone, such as zero-shear viscosity r;o and steady-state compliance J.0, were evaluated. The dependence of these parameters on the molecular weight and concentration were discussed. The zero-shear viscosity and its dependence on molecular weight for the solution of randomly branched polystyrene are lower than those of linear polystyrene. The steady-state compliance is proportional to MwO.s4 for the branched samples, while it does not depend on molecular weight for the linear polymer. These results lead to the suggestion that the maximum relaxation time is proportional to Mw2 · 3 and Mw3·5 for branched and linear polystyrene solutions, respectively. The concentration dependence of the steady-state compliance for the branched polymers is also much less than that of the linear ones. Comparing the frequency dependence curves of G' for the randomly branched and linear polystyrenes, there seems to be a significant difference in the shape of the relaxation spectra in the region associated with entanglement coupling. This behavior is considered to be due to the difference in the two chain structures.KEY WORDS Viscoelasticity / Polystyrene / Branched Polymer / Viscosity / Steady-State Compliance / Molecular Weight / Concentration Dependence / The effect of branching on the viscoelastic properties of concentrated systems of high polymers, 1 -10 such as concentrated solutions and melts, is one of the most important subjects of polymer science, both in the academic and industrial sense.polymer is lower than that for the linear polymer so long as molecular weight is not too high and that the steady-state compliance for the former is about ten times higher than that for the latter. Though the relaxation modulus or storage modulus for the star branch polymer is about the same as that of the corresponding linear polymer in the rubbery plateau region, the comb-shaped polymer has a relaxation modulus lower than the corresponding linear polymer in that region.Recently, it has become possible to prepare branched polymers having a well-controlled structure and narrow distribution of molecular weights, and a few measurements of the rheological properties of such samples have been carried out. One of these studies is the measurement of stress relaxation for comb-shaped polystyrenes by Fujimoto, et al.,11 and the other is our study of dynamic viscoelasticity for starshaped polystyrene. 12 These studies for branched polymers having different types of branching show that zero-shear viscosity for the branched * Present address: Sumitomo Chemical Co., 40,