Theoretical molecular rheology of branched polymers in simple and complex flows: the pom-pom model

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Bishko, G. ; McLeish, T.C.B. ; Harlen, O.G. ; Larson, R.G. (1997)
  • Publisher: American Physical Society
  • Subject:
    arxiv: Condensed Matter::Soft Condensed Matter

The nonlinear rheological constitutive equation of a class of multiply branched polymers is derived using the tube model. The molecular architecture may be thought of as two q-arm stars connected by a polymeric ''crossbar.'' The dynamics lead to a novel integrodifferential equation which exhibits extreme strain hardening in extension and strain softening in shear. Calculations of flow through a contraction predict that the degree of long-chain branching controls the growth of corner vortices, in agreement with experiments on commercial branched polymers.
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