Dynamic shear rheology and structure kinetics modeling of a thixotropic carbon black suspension

Matthew J. Armstrong, Antony N. Beris, Simon A. Rogers, Norman J. Wagner

Research output: Contribution to journalArticlepeer-review


The rheological characterization of a model, nearly ideal thixotropic carbon black suspension first proposed by Dullaert and Mewis (JNNFM 139: 21–30, 2006) is extended to include large amplitude oscillatory shear (LAOS) flow, shear flow reversal, and unidirectional LAOS flow (UD-LAOS). We show how this broader data set is useful for validating and improving constitutive models of thixotropy. We apply this new data to further test a recently developed structure-kinetics model, the Modified Delaware Thixotropy Model (Armstrong et al., J Rheol. 60: 433–450, 2016a), as well as to better understand the microstructural basis and validity of strain-rate superposition methods proposed for soft solids. This comparison identifies the limitations of models based on a scalar description of microstructure, which cannot fully capture the reversal of flow directionality inherent in LAOS flow. Further, we use the model to identify a possible microstructural justification for the hypothesized technique of strain-rate frequency superposition in soft solids.

Original languageEnglish (US)
Pages (from-to)811-824
Number of pages14
JournalRheologica Acta
Issue number10
StatePublished - Oct 1 2017


  • Carbon black
  • Constitutive modeling
  • Large amplitude oscillatory shear
  • Thixotropy

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


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