Direct conversion of rheological compliance measurements into storage and loss moduli

R. M. L. Evans, Manlio Tassieri, Dietmar Auhl, and Thomas A. Waigh
Phys. Rev. E 80, 012501 – Published 27 July 2009

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(ω) and G(ω), 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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  • Received 4 February 2009

DOI:https://doi.org/10.1103/PhysRevE.80.012501

©2009 American Physical Society

Authors & Affiliations

R. M. L. Evans1,*, Manlio Tassieri2,†, Dietmar Auhl1, and Thomas A. Waigh3

  • 1School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom
  • 2Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow G12 8LT, United Kingdom
  • 3School of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom

  • *mike.evans@physics.org
  • m.tassieri@elec.gla.ac.uk

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Vol. 80, Iss. 1 — July 2009

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