Rheologica Acta

, Volume 45, Issue 5, pp 717–727 | Cite as

Rheological properties of branched polystyrenes: nonlinear shear and extensional behavior

Original contribution


Nonlinear shear and uniaxial extensional measurements on a series of graft-polystyrenes with varying average numbers and molar masses of grafted side chains are presented. Step-strain measurements are performed to evaluate the damping functions of the melts in shear. The damping functions show a decreasing dependence on strain with an increase in mass fraction of grafted side chains. Extensional viscosities of the melts of graft-polystyrenes exhibit a growing strain hardening with increasing average number of grafted side chains as long as the side branches have a sufficient molar mass to be entangled. Graft-polystyrenes with side arms below the critical molar mass M c for entanglements of linear polystyrene but above the entanglement molar mass M e of linear polystyrene (M e < M w,br < M c) still show a distinct strain hardening. With decreasing molar mass of the grafted side chains (M w,br < M e) the nonlinear-viscoelastic properties of the graft-polystyrene melts approach the behavior for a linear polystyrene with comparable polydispersity.


Graft-polystyrenes Long-chain branching Shear and elongational viscosity Damping function in shear and elongation Elongational viscosity Strain hardening Entanglements 



Financial support from the German Research Foundation (DFG) (grant numbers Mu 1336/2-1 and Mu 1336/2-3) is gratefully acknowledged. J.H. wants to thank Prof. Dr. M. H. Wagner for the source code of the program for the damping function calculations.

Supplementary material


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Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.Institute of Polymer MaterialsUniversity Erlangen-NürnbergErlangenGermany
  2. 2.Bayer Technology Services GmbHLeverkusenGermany

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