Modeling elongational viscosity and brittle fracture of polystyrene solutions

Manfred H. Wagner*, Esmaeil Narimissa, Leslie Poh, Taisir Shahid

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Elongational viscosity data of well-characterized solutions of 3–50% weight fraction of monodisperse polystyrene PS-820k (molar mass of 820,000 g/mol) dissolved in oligomeric styrene OS8.8 (molar mass of 8800 g/mol) as reported by André et al. (Macromolecules 54:2797–2810, 2021) are analyzed by the Extended Interchain Pressure (EIP) model including the effects of finite chain extensibility. Excellent agreement between experimental data and model predictions is obtained, based exclusively on the linear-viscoelastic characterization of the polymer solutions. The data were obtained by a filament stretching rheometer, and at high strain rates and lower polymer concentrations, the stretched filaments fail by rupture before reaching the steady-state elongational viscosity. Filament rupture is predicted by a criterion for brittle fracture of entangled polymer liquids, which assumes that fracture is caused by scission of primary C-C bonds of polymer chains when the strain energy reaches the bond-dissociation energy of the covalent bond (Wagner et al., J. Rheology 65:311–324, 2021).

Original languageEnglish
Pages (from-to)385-396
Number of pages12
JournalRheologica Acta
Issue number8
StatePublished - Aug 2021


  • Chain scission
  • EIP model
  • Elongation
  • Failure
  • Finite extensibility
  • Fracture
  • Interchain pressure
  • Polymer melt
  • Polymer solution


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