Direct conversion of rheological compliance measurements into storage and loss moduli

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jul;80(1 Pt 1):012501. doi: 10.1103/PhysRevE.80.012501. Epub 2009 Jul 27.

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.

Publication types

  • Research Support, Non-U.S. Gov't