Abstract
A method is proposed for characterizing the dynamic mechanical behaviour of non-linear viscoelastic materials in terms of two frequency dependent moduli and two functions of the strain amplitude. These rheological parameters represent material properties and are shown to be independent of the sample dimensions. A method for determining the strain dependent functions from observations of the force and corresponding displacement on a sample is described. The method can be used even when the strain is not uniform throughout the sample. As an example of the use of this method a single pair of functions, defining the dependence of the storage and loss moduli on strain amplitude, have been obtained for a sample of a non-linear viscoelastic material sheared longitudinally between concentric cylinders. These functions are consistent with all the experimental data obtained over a wide range of ratio of cylinder diameters and a wide range of displacement amplitudes.
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