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August 29, 2003Journal of RheologyOpen Access

Microscopic theory of linear, entangled polymer chains under rapid deformation including chain stretch and convective constraint release

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Authors

RGR. GrahamALAlexei E. LikhtmanTMTom McLeish

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Overview

Theoretical model demonstrates accurate stress predictions in entangled polymer liquids under rapid deformation, highlighting the combined roles of chain stretch and convective constraint release.

Key Points

  • To formulate a microscopic tube model for linear, entangled polymer liquids that accurately captures chain dynamics across deformation rates from linear to strongly nonlinear regimes.
  • Derived chain reptation, chain stretch, and convective constraint release from a microscopic stochastic partial differential equation describing chain contour dynamics at the tube-diameter scale.
  • Incorporated contour length fluctuations approximately, fixing parameters to universal values or determining them from linear oscillatory shear measurements without post-hoc tuning.
  • Predicted single-chain structure factors and mechanical stress responses under rapid flow.
  • Achieved strong qualitative and quantitative agreement with experimental rheological data for entangled polymer solutions in both nonlinear shear and extensional deformation regimes.

Cite This Study

Graham et al. (2003) studied this question.

synapsesocial.com/papers/69e60f075cb6e92637e7075fhttps://doi.org/10.1122/1.1595099
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