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

• 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.

Keyword

Large amplitude oscillatory shear

Storage and loss moduli

Fourier transform rheology

Stress decomposition

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