Journal
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume 129, Issue 2, Pages 75-84Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jnnfm.2005.05.008
Keywords
interconversion; material functions; material characterization
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The paper examines the correctness of the best-known approximate methods of interconversion between the frequency- and the time-dependent material functions. Approximate interconversions are compared to the close-form viscoelastic interrelations through the relaxation and/or retardation spectra. The analysis showed that the simple method, G(t) similar or equal to G '(omega)vertical bar(omega=1/t), should be avoided. The most successful was the method of Schwarzl yielding results with maximum relative error within 2%. The magnitude of the error of interconversion is related to the magnitude of the response function first derivative. When the first derivative psi = vertical bar d(log G '(omega))/d(log(omega))vertical bar < 0.5 all approximate methods except the simple method furnish interconversions within the acceptable error, i.e., less than 5%. (c) 2005 Elsevier B.V. All rights reserved.
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