Journal of Computer-Aided Materials Design

, Volume 7, Issue 1, pp 11–23 | Cite as

Theory of long-scale cooperative relaxation of polymer networks. Hydrodynamic interaction effects

  • Yuli Ya. Gotlib
  • Andrew A. Gurtovenko


The theory of relaxation properties of polymer networks is considered for specific long-scale cooperative motions of network chains, which have characteristic scales greater than chain dimensions between cross-links. Long-range hydrodynamic interactions between the incompressible effective viscous medium and the network moving with respect to this medium are taken into account. Two types of relaxation spectra arise. The first type of relaxation spectrum appears in the case when the symmetry of network motions is not consistent with the incompressibility of viscous medium. In this case the effective viscous medium is immobile. The second non-trivial type of relaxation spectrum is caused by the combined motion of the network and the effective viscous medium. This relaxation spectrum is very narrow, and its width depends on the network structure and the viscosity of effective viscous medium. In the case of the second type of relaxation spectrum, the network motions are localized in the volume close to the dimension of the network cell or the average chain dimension between network junctions.

Effective viscous medium Hydrodynamic interactions Polymer networks Relaxation spectrum 


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© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Yuli Ya. Gotlib
  • Andrew A. Gurtovenko

There are no affiliations available

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