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Korea-Australia Rheology Journal

, Volume 30, Issue 1, pp 1–10 | Cite as

First-harmonic nonlinearities can predict unseen third-harmonics in medium-amplitude oscillatory shear (MAOS)

  • Olivia Carey-De La Torre
  • Randy H. EwoldtEmail author
Article

Abstract

We use first-harmonic MAOS nonlinearities from G1′ and G1″ to test a predictive structure-rheology model for a transient polymer network. Using experiments with PVA-Borax (polyvinyl alcohol cross-linked by sodium tetraborate (borax)) at 11 different compositions, the model is calibrated to first-harmonic MAOS data on a torque-controlled rheometer at a fixed frequency, and used to predict third-harmonic MAOS on a displacement controlled rheometer at a different frequency three times larger. The prediction matches experiments for decomposed MAOS measures [e3] and [v3] with median disagreement of 13% and 25%, respectively, across all 11 compositions tested. This supports the validity of this model, and demonstrates the value of using all four MAOS signatures to understand and test structure-rheology relations for complex fluids.

Keywords

large-amplitude oscillatory shear LAOS MAOS supramolecular polymer network constitutive model testing prediction experimental methods parameter calibration 

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Copyright information

© Korean Society of Rheology (KSR) and the Australian Society of Rheology (ASR) and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mechanical Science and EngineeringUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Department of Mechanical Science and Engineering and Frederick Seitz Materials Research LaboratoryUniversity of Illinois at Urbana ChampaignUrbanaUSA

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