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

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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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Authors and Affiliations

  1. Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, 61801, USA

    Olivia Carey-De La Torre

  2. Department of Mechanical Science and Engineering and Frederick Seitz Materials Research Laboratory, University of Illinois at Urbana Champaign, Urbana, 61801, USA

    Randy H. Ewoldt

Authors
  1. Olivia Carey-De La Torre
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  2. Randy H. Ewoldt
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Correspondence to Randy H. Ewoldt.

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Carey-De La Torre, O., Ewoldt, R.H. First-harmonic nonlinearities can predict unseen third-harmonics in medium-amplitude oscillatory shear (MAOS). Korea-Aust. Rheol. J. 30, 1–10 (2018). https://doi.org/10.1007/s13367-018-0001-2

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  • DOI: https://doi.org/10.1007/s13367-018-0001-2

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