Rheologica Acta

, Volume 29, Issue 5, pp 400–408

The relaxation of polymers with linear flexible chains of uniform length


  • M. Baumgaertel
    • Department of Chemical EngineeringUniversity of Massachusetts
  • A. Schausberger
    • Physikalische ChemieJohannes-Kepler-Universität
  • H. H. Winter
    • Department of Chemical EngineeringUniversity of Massachusetts
Original Contributions

DOI: 10.1007/BF01376790

Cite this article as:
Baumgaertel, M., Schausberger, A. & Winter, H.H. Rheol Acta (1990) 29: 400. doi:10.1007/BF01376790


The analysis of dynamic mechanical data indicates that linear flexible polymer chains of uniform length follow a scaling relation during their relaxation, having a linear viscoelastic relaxation spectrum of the formH(λ) = n1GN0 × (λ/λmax)n1 forλλmax. Data are well represented with a scaling exponent of about 0.22 for polystyrene and 0.42 for polybutadiene. The plateau modulusGN0 is a material-specific constant and the longest relaxation time depends on the molecular weight in the expected way. At high frequencies, the scaling behavior is masked by the transition to the glassy response. Surprisingly, this transition seems to follow a Chambon-Winter spectrumH(λ) = Cλ−n2, which was previously adopted for describing other liquid/solid transitions. The analysis shows that the Rouse spectrum is most suitable for low molecular-weight polymersM ≈ Mc, and that the de Gennes-Doi-Edwards spectrum clearly predicts terminal relaxation, but deviates from the observed behavior in the plateau region.

Key words

Relaxation spectrummonodisperse polymersscalingglass transitionplateau modulusrecoverable compliance

Copyright information

© Steinkopff 1990