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Area of Science:

  • Rheology
  • Polymer Physics
  • Materials Science

Background:

  • Well-entangled polymeric liquids can exhibit complex behaviors under shear.
  • Previous experiments have observed a bulk fracture-like phenomenon in these systems.

Purpose of the Study:

  • To investigate the underlying mechanism of the fracture-like instability in entangled polymeric liquids.
  • To compare theoretical predictions with experimental observations of this phenomenon.

Main Methods:

  • Utilizing a modern formulation of the Doi-Edwards theory for entangled polymers.
  • Analyzing the transition of viscoelastic liquids into a rubbery state under shear.

Main Results:

  • The study found close quantitative agreement between theoretical predictions and experimental data.
  • The fracture-like phenomenon is attributed to an elastic constitutive instability in the shear-induced rubbery state.
  • This instability involves the amplification of inhomogeneous fluctuations.

Conclusions:

  • The observed fracture-like behavior in entangled polymers is a transient manifestation of an elastic instability.
  • The mechanism differs significantly from fracture processes in glassy materials and dense suspensions.
  • The Doi-Edwards theory provides a robust framework for understanding this polymer rheology phenomenon.