Constraint release effects in polymer networks viscoelastic analysis

  • G. Heinrich
  • A. Havránek
Conference paper
Part of the Progress in Colloid & Polymer Science book series (PROGCOLLOID, volume 78)


The expression for the relative change in the network shear modulus during time (relaxation process) has been calculated using the concept of topological constraint release effects. The length distribution of the chains between two neighbouring cross-link points is taken into account in the calculation . The expression obtained is compared to theoretical results gained from other concepts and with some experimental results.

Key words

Viscoelasticity network constraint release effect entanglement cross-link density 


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  1. 1.
    Havránek A, Heinrich G (1988) Acta Polymerica 39:540CrossRefGoogle Scholar
  2. 2.
    Ferry JD (1980) Viscoelastic Properties of Polymers. 3rd ed Wiley, New YorkGoogle Scholar
  3. 3.
    Curro JG, Pincus P (1983) Macromolecules 16:559CrossRefGoogle Scholar
  4. 4.
    Gaylord RJ, Joss B, Bendler JT, Di Marzio EA (1985) Brit Polym J 17:126CrossRefGoogle Scholar
  5. 5.
    Heinrich G, Straube E, Helmis G (1988) Adv Polym Sci 85:33CrossRefGoogle Scholar
  6. 6.
    Havránek A (1988) Rheol Acta Suppl (Progress and Trends in Rheology II) 26:202Google Scholar
  7. 7.
    Havránek A (1982) Polym Bull 8:133CrossRefGoogle Scholar
  8. 8.
    Mavránek A, Ilavsky M, Nedbal J, Böhm M, v. Soden W, Stoll B (1987) Coll and Polym Sci 265:8CrossRefGoogle Scholar
  9. 9.
    Bastide J, Picot C, Candau S (1981) J Macromol Sci, Phys B 19:13CrossRefGoogle Scholar
  10. 10.
    Helmis G, Heinrich G, Straube E (1984) Wissenschaftl Zeitschr TH Leuna-Merseburg 26:461Google Scholar
  11. 11.
    Heinrich G, Straube E (1987) Polym Bull 17:247Google Scholar
  12. 12.
    Klein J (1986) Macromolecules 19:105CrossRefGoogle Scholar
  13. 13.
    Thirion P, Chasset R (1967) Chimie et Industrie — Genie Chimique 97(5):617Google Scholar
  14. 14.
    Daoud M, Bouchard E, Jannik G (1986) Macromolecules 19:1955CrossRefGoogle Scholar
  15. 15.
    Langley NR (1968) Macromolecules 1:348CrossRefGoogle Scholar
  16. 16.
    Ilavský M, Dušek K (1983) Polymer 24:981CrossRefGoogle Scholar
  17. 17.
    Neuburger NA, ichinger BE (1985) J Chem Phys 83:884CrossRefGoogle Scholar

Copyright information

© Dr. Dietrich Steinkopff Verlag GmbH & Co. KG 1998

Authors and Affiliations

  • G. Heinrich
    • 1
  • A. Havránek
    • 2
  1. 1.Department of PhysicsTechnische Hochschule “Carl Schorlemmer” Leuna-MerseburgMerseburgG.D.R.
  2. 2.Department of Polymer PhysicsCharles UniversitypragueCzechoslovakia

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