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The stress tensor in entangled polymers.

F Greco1

  • 1CNR-Institute for Composite Materials Technology (ITMC), Piazzale Tecchio 80, I-80125, Napoli, Italy.

Physical Review Letters
|March 23, 2002
PubMed
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This study models entangled polymeric liquids, revealing that while monomer density is constant, subchain tension varies. This leads to a new tensorial strain measure for polymer dynamics.

Area of Science:

  • Polymer physics
  • Statistical mechanics
  • Rheology

Background:

  • Entangled polymeric liquids feature subchains connecting entanglements.
  • These subchains act as open systems, exchanging Kuhn segments with neighbors.
  • Existing models like Doi and Edwards provide a framework for understanding polymer behavior.

Purpose of the Study:

  • To calculate the mechanical behavior of subchains in entangled polymers.
  • To apply the grand canonical formalism of statistical mechanics to polymer subchains.
  • To investigate the implications of varying subchain tension on strain measures.

Main Methods:

  • Utilizing the grand canonical formalism of statistical mechanics.
  • Modeling subchains within a polymer chain as open systems sharing chemical potential.

Related Experiment Videos

  • Developing a new tensorial strain measure based on calculated subchain properties.

    • Main Results:

    • The linear monomer density of subchains is confirmed to be constant.
    • Significant variation in tension between different subchains within the same polymer chain was found.
    • A novel tensorial strain measure was derived, differing from the Doi and Edwards model.

    Conclusions:

    • The assumption of uniform subchain tension in polymer liquids is not universally valid.
    • Accounting for varying subchain tension is crucial for accurate modeling of polymer mechanics.
    • The newly proposed tensorial strain measure offers a more refined description of polymer deformation.