Rheologica Acta

, Volume 49, Issue 10, pp 1041–1057 | Cite as

Effect of incomplete datasets on the calculation of continuous relaxation spectra from dynamic-mechanical data

  • Florian J. Stadler
Original Contribution


In this article, the effect of an incomplete frequency range on relaxation spectra calculated with the new spline-based method (Stadler and Bailly, Rheol Acta 48(1):33–49, 2009) presented before is discussed. The range, in which the spectrum can be determined, is limited by the range of the input data, but not directly by the inverse frequency. The actual limits depend on the range of input data. Depending on the shape of the spectrum the relaxation spectrum can be determined from the input data in a range up to three decades larger than the input data. This can be explained by the influence of the modes outside the inverse frequency range. For this purpose, a new concept, the relevance factor analysis, was introduced, which allows for a determination of the limits of spectrum calculation. The characteristic relaxation times are discussed in comparison for to the calculation of \(J_e^{\rm 0}\) and η 0 from the spectrum.


Relaxation spectrum Continuous spectrum Relevance range Error minimization Hermite spline 



The author wants to acknowledge the financial aid from Communauté Française de Belgique. FJS would like to thank Prof. Dr. Christian Bailly (Université catholique de Louvain (UCL), Belgium), Prof. em. Dr. F. R. Schwarzl and Dr. J. Kaschta (University Erlangen-Nürnberg), and Prof. H. H. Winter (University of Massachusetts, Amherst) for stimulating discussions about this topic.

Supplementary material

397_2010_479_MOESM1_ESM.pdf (398 kb)
(PDF 398 KB)


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.School of Semiconductor and Chemical EngineeringChonbuk National UniversityJeonjuRepublic of Korea

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