The Physics of Temporary Polymer Networks: A Comparison of Theory and Experiment

  • E. Kröner
  • D. Chassapis
  • R. Takserman-Krozer


Compared with permanent networks, the temporary polymer networks in solution show additional mobility in the form of viscoelasticity. This mobility results from the kinetic processes of decay and formation of junctions. The molecular-statistical theory of Takserman-Krozer and Kröner gives the viscoelastic material functions (of the velocity gradient tensor) within a generalized spring—bead model where the springs represent the network chains and the beads represent the junctions which are not conserved. The (integro-differential) diffusion equation contains the transition probabilities for junction decay and formation. The equations for these are solved in the one-junction approximation, simultaneously with the diffusion equation in the relaxation time approach. The material functions thus obtained are compared with various experiments, above all those on stationary shear flow. Adaptation of the theoretical to the experimental curves occurs only in the Newtonian range so that the non-Newtonian part of the theoretical curves represents a true prediction. Further results concern the mean number of chains per macromole cule (up to 10) and the number of decays per second of a junction (e.g. 10-2/s for the fluid at rest and 65 at a velocity gradient of 103/s).


Diffusion Equation Velocity Gradient Contour Length Material Function Velocity Gradient Tensor 
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Copyright information

© Elsevier Applied Science Publishers Ltd 1988

Authors and Affiliations

  • E. Kröner
    • 1
  • D. Chassapis
    • 1
  • R. Takserman-Krozer
    • 1
    • 2
  1. 1.Institut für Theoretische und Angewandte Physik der Universität StuttgartStuttgart 80Germany
  2. 2.Max-Planck-Institut für MetallforschungStuttgart 80Germany

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