Abstract
A mechanical analogue, consisting of a Bingham element (friction element and amper arranged in parallel) and elastic spring in series, is used to capture the measured amplitude dependences of the storage and loss moduli of an MRF in oscillatory shear. Model predictions for the time-dependent shear stress and resulting moduli at agitation frequency for various amplitudes are discussed. The application to plate-plate geometry, imposing a linear radial shear strain profile, is addressed.
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