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Updated: Jun 21, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Direct conversion of rheological compliance measurements into storage and loss moduli
R M L Evans1, Manlio Tassieri, Dietmar Auhl
1School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom. mike.evans@physics.org
Abstract:
We remove the need for Laplace/inverse-Laplace transformations of experimental data, by presenting a direct and straightforward mathematical procedure for obtaining frequency-dependent storage and loss moduli [G'(omega) and G''(omega), respectively], from time-dependent experimental measurements. The procedure is applicable to ordinary rheological creep (stress-step) measurements, as well as all microrheological techniques, whether they access a Brownian mean-square displacement, or a forced compliance. Data can be substituted directly into our simple formula, thus eliminating traditional fitting and smoothing procedures that disguise relevant experimental noise.
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