Continuum Mechanics and Thermodynamics

, Volume 29, Issue 6, pp 1375–1387 | Cite as

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

A constructive review of nonlinear rheological measures
  • Ivan ArgatovEmail author
  • Alexei Iantchenko
  • Vitaly Kocherbitov
Original Article


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.


Large amplitude oscillatory shear Storage and loss moduli Fourier transform rheology Stress decomposition 


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Institut für MechanikTechnische Universität BerlinBerlinGermany
  2. 2.Faculty of Technology and SocietyMalmö UniversityMalmöSweden

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