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How to define the storage and loss moduli for a rheologically nonlinear material?

A constructive review of nonlinear rheological measures

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Abstract

A large amplitude oscillatory shear (LAOS) is considered in the strain-controlled regime, and the interrelation between the Fourier transform and the stress decomposition approaches is established. Several definitions of the generalized storage and loss moduli are examined in a unified conceptual scheme based on the Lissajous–Bowditch plots. An illustrative example of evaluating the generalized moduli from a LAOS flow is given.

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Authors and Affiliations

  1. Institut für Mechanik, Technische Universität Berlin, 10623, Berlin, Germany

    Ivan Argatov

  2. Faculty of Technology and Society, Malmö University, Malmö, Sweden

    Alexei Iantchenko & Vitaly Kocherbitov

Authors
  1. Ivan Argatov
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  2. Alexei Iantchenko
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  3. Vitaly Kocherbitov
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Correspondence to Ivan Argatov.

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Communicated by Andreas Öchsner.

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Argatov, I., Iantchenko, A. & Kocherbitov, V. How to define the storage and loss moduli for a rheologically nonlinear material?. Continuum Mech. Thermodyn. 29, 1375–1387 (2017). https://doi.org/10.1007/s00161-017-0584-8

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  • DOI: https://doi.org/10.1007/s00161-017-0584-8

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