Evaluation of rheological constitutive equations for branched polymers in step shear strain flows

Chirag D. Chodankar, Jay D. Schieber, David C. Venerus

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


The pom-pom rheological constitutive equation for branched polymers proposed by McLeish and Larson is evaluated in step shear strain flows. Semianalytic expressions for the shear-stress relaxation modulus are derived for both the integral and approximate differential versions of the pom-pom model. Predictions from the thermodynamically motivated differential pompon model of Öttinger are also examined. Single-mode integral and differential pom-pom models are found to give qualitatively different predictions, the former displays time-strain factorability after the backbone stretch is relaxed, while the latter does not. We also find that the differential pompon model gives quantitatively similar predictions to the integral pom-pom model in step strain flows. Predictions from multimode integral and differential pom-pom models are compared with experimental data on a widely characterized, low-density polyethylene known as 1810H. The experiments strongly support time-strain factorability, while the multimode pom-pom model predictions show deviations from this behavior over the entire range of time that is experimentally accessible.

Original languageEnglish (US)
Pages (from-to)123-131
Number of pages9
JournalRheologica Acta
Issue number1
StatePublished - Jan 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Condensed Matter Physics


  • Branched polymer
  • Pom-pom model
  • Step-strain flow


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