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

Abstract: A large amplitude oscillatory shear (LAOS) is considered in the strain-controlled regime, and the interrelation between the Fourier transform (FT) and the stress decomposition (SD) 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.