On fitting data for parameter estimates

residual weighting and data representation

Piyush K. Singh, Johannes M. Soulages, Randy H Ewoldt

Research output: Contribution to journalArticle

Abstract

We describe a fundamental problem in fitting rheological data to infer parameters and thus structural information about a material. The results may depend greatly on subjective choices in the fitting method making such inferences non-unique and therefore highly uncertain or wrong. We study experimental data and demonstrate that the most commonly used fitting scheme for oscillatory linear viscoelastic data is deceptively wrong for the purpose of inference, i.e., viscoelastic moduli (G′,G″) weighted by the experimental data. Our results establish best practices for fitting rheological data, linear viscoelastic or otherwise, with strong implications for inverse problems of structural inference.

Original languageEnglish (US)
Pages (from-to)341-359
Number of pages19
JournalRheologica Acta
Volume58
Issue number6-7
DOIs
StatePublished - Jul 1 2019

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Inverse problems
inference
estimates

Keywords

  • Error propagation
  • Fitting
  • Inference
  • Linear viscoelasticity
  • Polyisoprene
  • Polymer
  • Small amplitude oscillatory shear
  • Uncertainty

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

On fitting data for parameter estimates : residual weighting and data representation. / Singh, Piyush K.; Soulages, Johannes M.; Ewoldt, Randy H.

In: Rheologica Acta, Vol. 58, No. 6-7, 01.07.2019, p. 341-359.

Research output: Contribution to journalArticle

Singh, Piyush K. ; Soulages, Johannes M. ; Ewoldt, Randy H. / On fitting data for parameter estimates : residual weighting and data representation. In: Rheologica Acta. 2019 ; Vol. 58, No. 6-7. pp. 341-359.
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