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

Olivia Carey-De La Torre; Randy H. Ewoldt

doi:10.1007/s13367-018-0001-2

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

Olivia Carey-De La Torre, Randy H. Ewoldt

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Journal	Korea Australia Rheology Journal
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s13367-018-0001-2
State	Published - Feb 1 2018

Keywords

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

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics

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

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.",

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author = "{Carey-De La Torre}, Olivia and Ewoldt, {Randy H.}",

note = "Funding Information: Research supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award No. DE-FG02-07ER46471, through the Frederick Seitz Materials Research Laboratory at the University of Illinois at Urbana-Champaign. For helpful discussions we thank Eric Epstein (MatSE, UIUC), Dr. Luca Martinetti (MechSE, UIUC), and Dr. N. Ashwin Bharadwaj (Nike). Publisher Copyright: {\textcopyright} 2018, Korean Society of Rheology (KSR) and the Australian Society of Rheology (ASR) and Springer-Verlag GmbH Germany, part of Springer Nature.",

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N2 - 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.

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

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Keywords

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